The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.
Let the number is n.
The phrase can be expressed as,
2n - 4.
Therefore, the expression is 2n - 4.
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6x=16 2/7 ( 2/7 is a fraction.) What is the value of x?
Answer:
x is 3.43
Step-by-step explanation:
[tex]{ \tt{6x = 16 \frac{2}{7} }} \\ \\ { \tt{6x = \frac{(16 \times 7) + 2}{7} }} \\ \\ { \tt{6x \times 7 = 144}} \\ \\ { \tt{42x = 144}} \\ \\ { \tt{x = \frac{144}{42} }} \\ \\ { \tt{x = 3.43}}[/tex]
Answer:
If the time is 3:45 how many minutes is it slow or fast
The table below shows the number of male and female participants on each team Which team contains a ratio of 1/3 male to female
The team that contains a ratio of 1/3 male to female is the team for which the number of females is three times the number of males.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is obtained applying a proportion.
A proportion is applied because the ratio is given by the division of the amount a by the amount b.
The ratio for this problem is given as follows:
Male / Female = 1/3
Applying cross multiplication, we have that:
Female = 3 Male (team has three times more females than males).
Missing InformationThe problem is incomplete, hence the answer was given in general terms.
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Write an equation of the line with the given slip and y-intercept slope is 3 y intercept is -9
y=3x-9 is the equation of the line with the given slip and y-intercept slope is 3 y intercept is -9
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the equation of the line with the given slip and y-intercept slope is 3 y intercept is -9
m=3 and y intercept is -9
y=3x-9
Hence, y=3x-9 is the equation of the line with the given slip and y-intercept slope is 3 y intercept is -9
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if the unit price for watermelon is $0.24 per pound and jared pays $1.68 for a watermelon how many pounds does his watermelon weigh
The weight of Jared's watermelon is 7 pounds.
What is the unit price?
A unit price is the cost of a single object or unit of measurement, such as a pound, a kilogram, or a pint, and it is used to compare the prices of similar products offered in various weights and quantities. Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.
Given price of watermelon per pound weight is $0.24.
And Jared paid $1.68 for a watermelon.
Then,
Let the weight of the watermelon Jared bought be 'x' pounds
0.24/1 = 1.68/x
x=1.68/0.24
x=7
Therefore, The weight of the watermelon Jared bought is 7 pounds.
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0.1p - 0.00025p^2 suppose that a population develops according to the logistic equation where is measured in weeks. (a) what is the carrying capacity? (b) is the solution increasing or decreasing when is between and the carrying capacity? (c) is the solution increasing or decreasing when is greater than the carrying capacity? note: you can earn partial credit on this problem.
Carrying capacity is the value of p where [tex]0.1p-0.00025p^{2} =0[/tex]. Soln: increasing between 0 and K, decreasing when p > K.
The largest population that can be supported in a certain ecosystem is known as the carrying capacity. It can be found by setting the derivative of the logistic equation to zero, which represents the maximum population growth rate. The carrying capacity of the logistic equation, [tex]0.1p-0.00025p^{2} =0[/tex], can be found by solving for p when the derivative is equal to zero. The solution is p = 40,000.
When t is between 0 and the carrying capacity, the population is increasing because the derivative of the logistic equation is positive. When t is greater than the carrying capacity, the population is decreasing because the derivative of the logistic equation is negative.
The logistic equation represents the growth of a population with time, where p is the population size, and t is measured in weeks. The carrying capacity is the maximum population size that can be sustained in the environment and is given by the value of p that makes the right-hand side of the equation equal to 0. The solution is increasing when t is between 0 and the carrying capacity, and decreasing when t is greater than the carrying capacity.
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4. Rachel has 3 types of ornament. She has 6 different wooden animals, 4 different sea-shells and 3 different pottery ducks. (i) She lets her daughter Cherry choose 5 ornaments to play with. Cherry chooses at least 1 of each type of ornament. How many different selections can Cherry make? [5]
There are a total of 13 different ornaments to choose from, with 3 types of ornaments.
What is total number?Total number is a term used to describe the sum of all the values or items within a set. It is usually used to calculate an aggregate or grand total, such as the sum of all the numbers in a list or the total number of people in a population. Total number can also be used to describe the absolute value or quantity of something, such as the total number of days in a year.
When Cherry chooses at least 1 of each type, she will have to select a total of 5 ornaments. This means that Cherry can make a total of 13C5 (13 choose 5) different selections. This is equal to 715 different selections.
This can also be calculated by first selecting 1 ornament from each of the 3 types, which gives 3 different selections. Then, for the 2 remaining ornaments, Cherry can select any of the 13 ornaments, giving a total of 3 x 13 = 39 different selections. In total, this gives 3 + 39 = 42 different selections.
To conclude, Cherry can make a total of 715 different selections when she chooses at least 1 of each type of ornament.
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30 points can someone help please
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
Since each box is the same, that means Box A = Box B, which means 8y+1=6y+9
[tex]8y + 1 = 6y + 9[/tex]
Now to get y's on one sides of the equal sign and numbers on the other.
First we can subtract 1 from each side to get
[tex]8y = 6y + 8[/tex]
Next we'll subtract 6y from both sides
[tex]2y = 8[/tex]
Lastly, we divide both sides by 2
[tex]y = 4[/tex]
Answer:
y=4
Step-by-step explanation:
set up the equation like 8y+1=6y+9.
subtract the one to the other side to get the 8y isolated.
8y=6y+8
subtract6 6y from 8y.
2y=8
divide to find y.
y=4
Mav's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. Based on the line of best fit, what quiz score should someone who studied 6 hours expect?
The line of best fit is a mathematical representation of the general trend of the data points.
What is number?Number is a mathematical object used to count level and measure it is the fundamental concept in mathematics and is used in many different way number can be used to represent anything from quantities of object to ideas and concept additionally number are used to describe relationship between different object or concept. Numbers are also used to represent position in space as well as represent that time graph of table.
It gives an estimate of the expected quiz score when given a certain number of hours studied. In this case, the expected quiz score for someone who studied 6 hours would be around 85. However, it is important to note that this is only an estimate and the actual score could be higher or lower depending on the individual's knowledge and preparation for the quiz.
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Which expression is equivalent to x2 + 10x + 24?
(x + 8)(x + 3)
(x + 12)(x - 2)
(x + 6)(x + 4)
(x + 8)(x + 2)
Step-by-step explanation:
x 2 + 4x +6x+(6 x 4) =(x +6)(x +4)
4x and 6x are like terms so we add them together
x2 +10x +24
The following data was collected from a simple random sample from a process (infinite population).
13 15 14 16 12
I've already determined that the point estimate of the population mean is 14 and the point estimate of the population std. deviation is 1.581.
What is the Mean of the Population?
A. 14
B. 15
C. 15.1581
D. Could be any Value.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).
To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.
The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
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Five scout leaders are taking their troops to an overnight scout competition in NYC. Because of limited funds, there are only 3 rooms that are free for the 5 scout leaders to stay in. Some scout leaders have differences of opinions as to how they lead their troops and cannot share a room, as shown here. Is there a way that these 5 scout leaders can spend the night at the hotel using these 3 free rooms?
Answer:2
Step-by-step explanation:
Is the question below
(one solution)
(infinite number of solutions) or
(no solution)
Answer:
One Solution
Step-by-step explanation:
The graph shows two lines crossing each other once, therefore meaning there is only one solution in this graph.
Evaluate the expression 5x + 3y - 2 when x = 2 and y = 5
Answer: 25
Step-by-step explanation: just replace the variables with the numbers and multiply and then add!
Answer:The result can be shown in multiple forms.
Point Form:
(-1,-1)
Equation Form:
x= - 1,y = -1
Step-by-step explanation:
just do it
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. (Round your answer to three decimal places.)
Radius r Arc Length s Central Angle θ
86 km 166 km radians
The central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians.
The formula for the central angle of a circle given the arc length is:
θ = 2 * arccos(s/(2 * r))Plugging in the given values, we get:
θ = 2 * arccos(166/(2 * 86))
= 2 * arccos(1)
= 2 * 90°
= 180°
= 3.142 radians (rounded to three decimal places)
So the central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians. The central angle of a circle given arc length is given in the formula; for a given 86 km radius & 166 km arc, the central angle is approximately 3.142 radians.
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two marbles are drawn at random and without replace- ment from a box containing two blue marbles and three red
The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.
The probability of drawing two marbles from a box containing two blue marbles and three red marbles is calculated as follows. The total number of possible outcomes is calculated by multiplying the number of marbles in the box (2 blue and 3 red) by the number of marbles drawn (2): 5 x 5 = 25. The number of possible outcomes in which two blue marbles are drawn is calculated by multiplying the number of blue marbles in the box (2) by the number of marbles drawn (2): 2 x 2 = 4. The probability of drawing two blue marbles is thus 4/25 or 16%. Similarly, the probability of drawing two red marbles is 12/25 or 48%. The probability of drawing one blue marble and one red marble is calculated by multiplying the number of blue marbles in the box (2) by the number of red marbles in the box (3): 2 x 3 = 6. The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.
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xavier said the missing length is about 18 units. without calculating, how can you tell that xavier solved incorrectly
Answer: the missing side is longer than the other sides. the other sides' measurements are over 18, so it doesn't make sense.
Step-by-step explanation:
show that each conditional statement in exercise 12 is a tautology using the fact that a conditional statement is false exactly when the hypothesis is true and the conclu- sion is false.
From conditional statements, there can be built a Tautology.
According to the question, when the Hypothesis is true and the conclusion is false, the result will be false. And that's correct.
But when a conditional statement can a Tautology, given the fact that not always a conditional statement will return the logical value of truth? Look at this example below:
1)James is from Orlando and he lives in Florida. Therefore, James is from Orlando.
2)James is from Orlando and he does not live in Florida. Therefore, James is from Orlando.
3)James is not from Orlando and lives in Florida. Therefore, James is from Orlando.
4)James is not from Orlando and he does not live in Florida. Therefore, James is from Orlando.
What we have above is symbolic for:
p∧q→p
And this is tautological, since no matter, what we have line 2 for p∧q, q being false it does not change the value for false, in any way for the whole proposition p∧q→p. What gives us a Tautology?
This, p∧q→p can be rewritten as p∧q⇒p.
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Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.
Write the equations for Andre's savings and graphs it alongside Noah's. What does the intersection point mean in this situation?
6 is the intersection point mean in the given situation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Andre started with $15 and deposits $5 per week.
Noah started with $2.50 and deposits $7.50 per week.
Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.
The equations for Andre's savings is y = 5x + 15
The intersection point of the two equations is the point at which both Andre and Noah have the same amount in their savings.
5x+15=7.5x + 2.5
Subtract 7.5x on both sides
-2.5x + 15 = 2.5
Add 2.5x to both sides
Divide both sides by 2.5
x = 6
Hence, 6 is the intersection point mean in this situation.
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21. Graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6
The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represents the data points.Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:
y - y₁ = m(x - x₁)
y - 5 = 0(x - (-5))
y - 5 = 0(x + 5)
y - 5 = 0
y = 5.
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Which one of the following transactions would be included in GDP?
a. Ciara pays $50 for a used picture frame at a neighborhood garage sale.
b. Malik donates $500 to his town's junior college scholarship fund.
c. Malik pays $500 to fix the front end of her car damaged in a recent accident.
d. Kayla pays $5,000 to purchase 100 shares of a company stock.
There are several guidelines to follow when constructing graphs that summarize statistical data. Which of the following statements is least accurate?
A. Axes should be clearly labeled
B. Axes that are numerical should be to the appropriate scale
C. Graphs should have a lot of adornments
D. The simplest graph that effectively communicates the data should be used
The correct option: C. Graphs should have a lot of adornments is the statement which is least accurate.
Rules for constructing graphs for statistical data?Data that are gathered and/or generated through statistics during the course of statistical observations through statistical data processing are known as statistical data.
The guidelines below apply to vertical bar charts. Change "vertical" to "horizontal" and "horizontal" to "vertical" in these rules for horizontal bar charts.
Add a title to the graph's top.The scale on the vertical axis needs to be uniform and set to zero.Use gridlines that are horizontal.The meaning of each bar should indeed be written on the label.The qualitative variable which that bar chart depicts should be described in the label for the horizontal axis. A horizontal axis marker is not required if the labels on each individual bar are sufficiently illustrative.Put "Frequency" or "Count" on the vertical axis.Thus, the statement which is least accurate is "Graphs should have a lot of adornments"
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Pls help me find this answer
The value of d/dx (fourth root 5x) is 5/4x^-1/3
What is differentiation?Differentiation is a method used to compute the rate of change of a function f(x) with respect to its input x . This rate of change is known as the derivative of f with respect to x .
Differentiation is used to determine the instantaneous rate of change of quantities. For instance, if we want to find the velocity of a car, we can do it by using differentiation. Mathematically, it is expressed as v = d s /d t , where s is displacement and t is time.
if y =x^n
dy/dx = nx^n-1
therefore to find d/dx(fourth root 5x)
fourth root 5x = 5x^1/4
= d/dx(5x^1/4)
=1/4×5x^1/4-1
= 5/4x^-1/3
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In the Fall 2011 STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how many text messages they sent per day. The researcher decided to make the number of parties attended per week the explanatory variable and the number of text messages sent per day the response variable. The least squares regression line for this relationship is y-hat = 64.96 + 25.41x. Interpret the y-intercept if appropriate. 1000 2002 Legend Fitted line Parties Do not interpret. The predicted number of text messages per day for someone who has not attended a party this week is 64.96. The predicted number of text messages per day for someone who has not attended a party this week is 25.41. The predicted number of parties attended this week for someone that hasn't sent any text messages is 64.96. The predicted number of parties attended this week for someone that hasn't sent any text messages is 25.41.
The predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).
The least squares regression line is a mathematical formula that is used to predict the response variable (in this case, the number of text messages sent per day) based on the explanatory variable (the number of parties attended per week). The formula for the least squares regression line is y-hat = b0 + b1x, where y-hat is the predicted response variable, b0 is the y-intercept, b1 is the slope, and x is the explanatory variable. In this example, the y-intercept is 64.96 and the slope is 25.41. This means that the predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).
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Jason and his dad plant corn in their vegetable garden. Once the corn stalks reach 7 feet tall, the corn can be harvested. Jason measures the corn and notices that the corn stalks grow about 3.5 inches each week. The corn stalks are currently 63 inches tall. How many more weeks must pass before they are ready to be harvested?
Answer:
6 weeks
Step-by-step explanation:
7 ft = 84 in
84-63=3.5*(number of weeks)
21=3.5*(number of weeks)
21/3.5=number of weeks
6= number of weeks
Answer:
6 weeks
Step-by-step explanation:
7 feet is 84 inches 7 x 12 is 84
we must find the difference
84-63=21
now we divide 21 by 3.5
and week get how much weeks we have left
21/3.5=6
x/5 + 3 = 2 what is x
Answer:
-5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
hope it helps on quiz/test/assignemnt/homework !!!!!!
What number could replace m below
m/8= 1/2
Answer:
4
Step-by-step explanation:
if you want to see that the fractions are equal, you should first make their denominators equal
[tex]\frac{m}{8} = \frac{4}{8}[/tex]
8 times 1 = 8, so m times 1 should equal 4
therefore, m=4
Answer:
[tex] {\red{ \boxed{\sf{m = 4}}}} \\ [/tex]
Step-by-step explanation:
[tex] \sf\frac{m}{8} = \frac{1}{2} \\ \\ \sf{m = \frac{8 \times 1}{2} } \\ \\ \sf{ m = \frac{8}{2} } \\ \\ \sf{m = \frac{2 \times 4}{2 \times 1} } \\ \\ \sf{m = \frac{4}{1} } \\ \\ \sf{so...} \\ \\ \sf{m = 4}[/tex]
What is the image point of (-9,-6)(−9,−6) after the transformation T_{0,4}\circ R_{90^{\circ}}T
0,4
∘R
90
∘
?
\big((
,
\big))
attempt 1 out of 2
Alyssa Freeland
Composition of Transformations
Feb 01, 12:47:03 PM
Watch help video
What is the image point of (-9,-6)(−9,−6) after the transformation T_{0,4}\circ R_{90^{\circ}}T
0,4
∘R
90
∘
?
What is the image point of (-9,-6)(−9,−6) after the transformation T_{0,4}\circ R_{90^{\circ}}T
0,4
∘R
90
∘
?
\big((
,
\big))
attempt 1 out of 2
Alyssa Freeland
Composition of Transformations
Feb 01, 12:47:03 PM
Watch help video
What is the image point of (-9,-6)(−9,−6) after the transformation T_{0,4}\circ R_{90^{\circ}}T
0,4
∘R
90
∘
?
The image point of (-9, -6) after the transformation T<0, 4> R90° is (6, 13).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The transformation shifts a point up by 4 units on the y-axis. The transformation is a point 90 degrees counterclockwise.
So, to find the image point of (-9, -6) after the transformation, we first apply the rotation R90° :
(-9, -6) → (6, 9)
Next, we apply the translation T<0, 4> :
(6, 9) → (6, 13)
So, the image point of (-9, -6) after the transformation R90° is (6, 13).
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A theme park has a ride that is located in a cylinder with a height of 10 yards. The ride goes around the outside of the cylinder, which has a circumference of 515.75 yards. What is the surface area of the cylinder? Estimate to the nearest hundredth, using 3.14 for . Apply the formula for surface area of a cylinder .
Answer:
10218.4 square yards
Step-by-step explanation:
The surface area of a cylinder can be found by using the formula:
2πr(r + h)
where r is the radius of the base and h is the height of the cylinder.
First, we need to find the radius of the cylinder:
515.75 / (2 * π) ≈ 161.8
Now, we can use the formula to find the surface area:
2 * π * 161.8 * (161.8 + 10) ≈ 10218.4
The surface area of the cylinder is approximately 10218.4 square yards, rounded to the nearest hundredth.
Help please which graph shows…. Look at image
The correct graph is "Option 3". The solution is −11 < x < − 4 or x > 2.
Which graph shows the solution set of [tex]\frac{ x^{2}+9x-22}{x+4} \geq 0[/tex]?Let's work through your inequality piece by piece.
[tex]\frac{x^2+9x-22}{x+4} > 0[/tex]
Let's locate the inequality's crucial points.
[tex]\frac{x^2+9x-22}{x+4} = 0[/tex]
[tex]x^2+9x-22=0[/tex]
(Add x+4 to both sides)
(x−2)(x+11)=0
(Left side of the equation factor)
x−2=0 or x+11=0
(Set all variables to 0)
x=2 or x=−11
Verify any potential weak points.
x=2(Works in original equation) (Works in original equation)
x=−11(Works in original equation) (Works in original equation)
Important points:
x=2 or x=−11
(Equalizes both sides)
x=−4
(Sets the left denominator to 0)
Check the gaps between important points. Test the interval values to see if they are effective.
(Works incorrectly in the original inequality) [tex]x < -11[/tex]
(Works in original inequality)[tex]-11 < x < -4[/tex]
(Not applicable to the original inequality) x > 2 (Works in original inequality)
The answer is [tex]-11 < x < -4 $ or $ x > 2~[/tex]
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Triangle HKS is congruent to triangle DLY. What is the length of ly?
Length of LY = 20 inches.
What is congruence of triangles?Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Given triangles,
ΔHKS and ΔDLY
and ΔHKS ≅ ΔDLY
If two triangles are said to be congruent, all three corresponding sides are equal.
So, LY = SK (corresponding side)
LY = 20 inches
Hence, 20 inches is length of LY.
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Note: By the figure DL = 24 inches, it should be 15 inches if triangles are congruent.