Try It
Given: AD
Prove: DE
D
BC and BCD = CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD = 3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC

The number of possible values regarding the given fraction situation of $r$ is 8.

To find the possible values of $r$ that can be approximated by [tex]$\frac{2}{7}$[/tex], we need to determine the range of values for $r$ that is closest to [tex]\frac{2}{7}$[/tex]. This can be done by finding the two closest fractions with numerator 1 or 2 to [tex]$\frac{2}{7}$[/tex] and determining the range of values for $r$ between those two fractions. The two closest fractions are [tex]$\frac{1}{3}[/tex] and[tex]\frac{2}{5}[/tex].

If $0.abcd$ is between[tex]\frac{1}{3}[/tex] and [tex]$\frac{2}{5}[/tex], it will be closest to [tex]$\frac{2}{7}$[/tex]. The decimal representation of [tex]\frac{1}{3}$[/tex] is 0.3333..., and the decimal representation of [tex]$\frac{2}{5}$[/tex] is 0.4. Thus, the possible values of $r$ that can be approximated by [tex]\frac{2}{7}$[/tex] are [tex]$0.3333... \leq r \leq 0.4$[/tex] , which have 8 possible values, including both endpoints.

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Answer:

vertex is at (-3, 3)

No choices provided; can't help you there

Step-by-step explanation:

General equation of a parabola isy =  ax² + bx + c

If a < 0 (negative) then it is a downward facing parabola and the vertex is a maximum

If a > 0 then  it is an upward facing parabola and the vertex is a minimum

Given parabola is
y =  -3x² - 18x -24

and comparing to the general equation we get a = -3, b = -18 and c = -24

So the vertex is a maximum

The x-coordinate of the vertex is given by
[tex]x_v =- \dfrac{b}{2a}\\\\[/tex]

Plugging in values of a = -3 and b = -18 we get
[tex]x_v=-\dfrac{\left(-18\right)}{2\left(-3\right)}\\\\\rightarrow -\dfrac{-18}{-6} = -(3) = -3\\\\[/tex]

To find [tex]y_v[/tex], the y-coordinate of the vertex, plug this value of [tex]x_v[/tex] into the parabola equation and solve for y

[tex]y_v=-3\left(-3\right)^2-18\left(-3\right)-24\\\\y_v = -3(9) +54 -24\\\\y_v = -27 + 54 - 24\\\\y_v = 3\\\\[/tex]

So the vertex is at (-3, 3)

No choices provided so unable to help in that regard

Kala used 55 pounds of type A coffee and 79 pounds of type B coffee in 134 pounds of the blend for a total cost of $717.90.

Let number of pounds in coffee type A be taken as A

Let number of pounds in coffee type B be taken as B

The total number of pounds used in the blend = 134 pounds.

Therefore, A + B = 134

A = 134 – B …….. (i)

1 pound of coffee type A costs = $4.65

Therefore, A pounds of type A coffee will cost = $4.65A

1 pound of coffee type B costs = $5.85

Therefore, B pounds of type B coffee will cost = $5.85B

Total cost of both blends = $717.90

Therefore, 4.65A + 5.85B = 717.90…….(ii)

Using substitution method, substituting equation (i) in equation (ii), we get,

4.65 * (134 – B) + 5.85B = 717.90

623.1 – 4.65B + 5.85B = 717.90

623.1 + 1.2B = 717.90

1.2B = 94.8

B = 79 pounds

Therefore, A = 134 – 79 = 55 pounds

Hence, the number of pounds of coffee type A was found to be 55 pounds

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A number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subsets of the set for every n element in the set.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.

A set is a mathematical model for a collection of various things.

A set with a single element is a singleton, while a set with no elements is an empty set.

A set can either be infinite or have a finite number of elements.

If all of the elements in two sets are identical, then the sets are equal.

The number of subsets of a set is 2n if the set has 'n' items.

A number of Appropriate Subsets of the Set: If a set has 'n' items, then 2n - 1 is the number of appropriate subsets of the set.

Therefore, a number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subset of the set for every n element in the set.

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Correct question:

The number of distinct proper subsets of a set with n elements is ____.

Answer:

c

Step-by-step explanation:

[tex]\text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}[/tex]

==============================================

Reason:

The formula you can use is

[tex](a+b)^2 = a^2+2ab+b^2[/tex]

This is the perfect square trinomial formula.

In this case,

The square of each gets us

Those form the outer terms, aka 1st and 3rd terms.

The 2ab term in the middle would be 2*x*(1/8) = (1/4)x

That leads us to be able to say [tex]\left(\text{x}+\frac{1}{8}\right)^2 = \text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}[/tex]

You can use the FOIL rule or the box method as two ways to verify this answer. Also a graphing calculator can be used.

Answer:

B can make tons more

Step-by-step explanation:

1/9   123456789    (+9)

multiples of 11 11 22 33 44 55 66  77 88 99    (+9)

9+9=18

A=18

B=

213

438

SO MANY MORE

B=more

22) The difference is given as follows: 0.1 x 10^13 = 1000000000000.

23) The quotient is given as follows: 3.6 x 10^-8 = 0.000000036.

The difference is given as follows:

9.6 x 10^13 - 9.5 x 10^13.

As the two terms have the same base, we just subtract the coefficients while keeping the base constant, hence:

9.6 x 10^13 - 9.5 x 10^13 = (9.6 - 9.5) x 10^13 = 0.1 x 10^13.

The quotient is given as follows:

7.56 x 10^-8/2.1.

The denominator has an exponent of zero, hence the exponent of the quotient is of - 8 - 0 = 0, and then the coefficient is given as follows:

(7.56/2.1) x 10^-8 = 3.6 x 10^-8 = 0.000000036.

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The number of days for 15 masons is 16 days

From the question, we have the following parameters that can be used in our computation:

20 masons working 8 hours a day can build a boundary in 15 days.

This means that

Boundary wall = 20 * 8 * 15 = 2400

15 masons working 10 hours a day means

Duration = 15 * 10 = 150 hours

So, we have

Days = 2400/150

Days = 16

Hence, the number of days is 16

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The probability of the sum of two integers is greater than the product is equal to 2 / 5.

Let 'A' be the set of positive integers less than or equal to 5.

A = { 1, 2, 3, 4, 5}

Sum of two numbers is greater than the product of the numbers.

1 × 1 = 1  and 1 + 1 = 2

1 × 2 = 2 and 1 + 2 = 3

1 × 3 = 3 and 1 + 3 = 4

1 × 4 = 4 and 1 + 4 = 5

1 × 5 = 5 and 1 + 5 = 6

2 × 1 = 2 and 2 + 1 = 3

3 × 1 = 3 and 3 + 1 = 4

4 × 1 = 4 and 4 + 1 = 5

5 × 1 = 5 and 5 + 1 = 6

2 × 2 = 4 and 2 + 2 = 4

Total possibilities = 5 × 5

                             = 25

Favourable outcomes = 10

Total number of outcomes = 25

Probability of sum of two numbers greater than the product

= 10 / 25

= 2 / 5

Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.

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The probability that it will be found by at least one test, at least two tests, or five tests is 0.8488, 1.8488, and 4.8488.

Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.

Probabilities of no errors discovered:

If there is an error, the tests will discover it with probabilities of 0.1, 0.2, 0.3, 0.4, and 0.5. So, if not discover the errors, the probabilities are 0.9, 0.8, 0.7, 0.6, 0.5.

The probability of none discovering the error is:

P=0.1*0.2*0.3*0.4*0.5=0.1512

(a) by at least one test

None: 0.1512

At least one: 1 - 0.1512 = 0.8488.

by at least two tests:

At least two:

2-0.1512=1.8488

by at least five tests:

At least five:

5-0.1512=4.8488

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A standard score of 89 is considered below average because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean.

A standard score of 89 is considered below average because it falls below the mean score of 100. This is because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean. The standard deviation is a measure of the spread of the data, where higher values indicate more spread out data. In this case, the mean score of 100 has a standard deviation of 15, which means that any score lower than 85 (100 - 15) is considered below average. A score of 89 is 11 points below the mean, which is a deviation of more than 0.7 standard deviations. This indicates that it is lower than the average score, and therefore considered below average.

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Answer:

x>2

Step-by-step explanation:

The longer trail is outlook trail.

Mixed fractions are type of fractions which consist of a whole number part and a fractional part.

Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.

The lengths of these trails are given in the mixed number form.

First, converting it into improper fraction,

Length of lake trail = 4 3/5 mile = (4 × 5 + 3) / 5 = 23/5 miles

Length of outlook trail = 5 5/6 mile = (5 × 6 + 5) / 6 = 35/6 miles

Length of pinewood trail = 1 3/10 mile = (1 × 10 + 3) / 10 = 13/10 miles

35/6 > 13/10

Outlook trail is longer.

Hence the outlook trail is the longer trail.

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Darin wrote 1 2/5 as a sum of three fractions. Three fractions 1/5, 4/5, 2/5 Darin have used. So the option d is correct.

Darin wrote 1 2/5 as a sum of three fractions.

We firstly solve the mixed fraction in the form of improper fraction.

We can write in improper fraction my multiplying 1 and 5, then add 2 in the multiplication of 1 and .

Now the fraction;

1 2/5 = 7/5

Now we solve each option to determine the three fraction.

a. 1/5, 2/5, 2/5

= 1/5 + 2/5 + 2/5

= (1 + 2 + 2)/5

= 5/5

= 1

It can't produce the value 7/5. So this option is not correct.

b. 3/5, 3/5, 3/5

= 3/5 + 3/5 + 3/5

= (3 + 3 + 3)/5

= 9/5

It can't produce the value 7/5. So this option is not correct.

c. 1/5, 2/5, 3/5

= 1/5 + 2/5 + 3/5

= (1 + 2 + 3)/5

= 6/5

It can't produce the value 7/5. So this option is not correct.

d. 1/5, 4/5, 2/5

= 1/5 + 4/5 + 2/5

= (1 + 4 + 2)/5

= 7/5

It produces the value 7/5. So this option is correct.

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The complete question is:

Darin wrote 1 2/5 as a sum of three fractions. What fractions might Darin have used?

a. 1/5, 2/5, 2/5

b. 3/5, 3/5, 3/5

c. 1/5, 2/5, 3/5

d. 1/5, 4/5, 2/5

The numeric value of 1.6 multiplied by 0.125 is 0.2.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given we need to calculate the value of 1.6 multiplied by 0.125

Since Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.

Thus,

=>  1.6 multiplied by 0.125

=> 1.6 * 0.125

=> 0.2

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The number of yards of ribbon Jamal used is 14.4 yards.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a spool of ribbon is 24 yards long.

Jamal uses 3/5 of the total ribbon.

So, number of yards = 3/5 ×24

= 3×4.8

= 14.4 yards

Therefore, the number of yards of ribbon Jamal used is 14.4 yards.

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The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Steps are,

Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.

Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.

Step 3: Draw a line through the two points of intersection of the arcs.

Now, Cleary this method is used to divide a line in two equal parts.

Hence, The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

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Therefore , the solution of the given problem of triangle comes out to be Replace with CD-49.

Because triangles have four or more sides, they are considered polygons. Its design is straightforward and geometric. The ABC letters come together to form a triangle with a square angle. Euclidean geometry generates a single rectangle or square when the sides do not coincide. Because they consist of three sides and three corners, triangles are polygons. The corners of a triangle are formed by the junction of its three sides.

Here,

Triangles that are similar may or may not be congruent.

The CD is 49 units long.

The following equivalent ratios can be derived from the triangles that are supplied.

AC: CB = AD: DE

Where:

AC= AD + CD

We thus have:

DE = AD + DC

CB

Replace known values

=>27:23-27+ DC: 65

Describe as a fraction

=> 27+DC

65 x 65 multiplied by both sides yields 27+ DC.

Take 27 away from both sides.

2x65-27 - DC

DC 76-27 - DC 49-DC 27x65-27 = DC 1755-27=DC

Replace with: CD-49

Therefore , the solution of the given problem of triangle comes out to be Replace with CD-49.

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Answer:

$993.3

Step-by-step explanation:

you just multiply 70×14.19

The percentage of the total trip had they travelled when Olivia fell asleep is 73%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Olivia's family took a road trip to the Grand Canyon.

Olivia fell asleep after they had travelled 243 miles.

If the total length of the trip was 900 miles,

then they had travelled when Olivia fell asleep,

= (900 - 243) x 100 /900

= 73%

Therefore, the percentage is 73%.

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350 adult tickets were sold and 350 child tickets were sold.

Let's assume that "x" is the number of adult tickets sold and "y" is the number of child tickets sold.

We know that:

x + y = 700 (the total number of tickets sold)

7.5x + 5y = 4500 (the total revenue)

We can use the first equation to solve for one of the variables in terms of the other.

For example:

y = 700 - x

Substituting this into the second equation:

7.5x + 5(700 - x) = 4500

7.5x + 3500 - 5x = 4500

2.5x = -900

x = -360

Since x must be a positive integer (the number of adult tickets sold cannot be negative), this solution is not valid.

However, we can see that the equation does have a solution by trying a larger value for x:

x = 700

y = 0

This gives us:

7.5 * 700 + 5 * 0 = 4500

5250 = 4500

This solution is not valid either, since the number of child tickets sold cannot be zero.

By repeating this process, we can find that the solution is x = 350 and y = 350.

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The equation of the line in slope-intercept form is y = 18x + 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line in slope-intercept form is y = mx + c.

Now,

m = 18

(0, 3) = (x, y)

So,

y = mx + c

3 = 18 x 0 + c

c = 3

Now,

y = 18x + 3

Thus,

y = 18x + 3 is the equation of the line in slope-intercept form.

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Answer:

Here you have  

Step-by-step explanation:

In the US:

The cumulative incidence was 1.2% by the age of 24 years, 3% by 75 years, and 4.4% by 85 years

In Sweden:

The cumulative incidence was 2.2% by the age of 15 years, 4.5% by 50 years, and 7.2% by 75 years

There is a 0.8677 percent chance that the two candies are different colors.

Divide the total number of outcomes by the entire number of possible outcomes to determine the likelihood that an event will occur. There are differences between probability and odds. Chances are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. The likelihood that the coin will land with the heads side up is computed when it is tossed into the air. You are undoubtedly already familiar with this practical application of probability. Before a big trip, we always check the weather prediction.

The probability of two the same

so,

Two red = 8/26 * 7/25

Two orange [tex]=(6/26 * 5/25)[/tex]

Add them up

[tex](8/26 * 7/25)+(6/26 * 5/25)\\=56/650+30/650\\=86/650\\=0.1323[/tex]

Subtract that from 1

[tex]1-0.1323\\=0.8677[/tex]

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The equation represents the relationship between x and y is y = 5x + 3

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we can see that

y is 3 more than five times x

When represented as an equation, we have

y = 5x + 3

Hence, the equation is y = 5x + 3

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The measure of the angles C and D are 60° and 190° respectively.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

From the given information the measure of angle c will be,

= [90° - (1/2)m∠A].

= [90° - 30°].

= 60°.

And we know the sum of all the interior angles in a quadrilateral is 360°.

Therefore, The measure of ∠D = 360° - (60° + 50° + 60°).

m∠D = 360° - 170°.

m∠D = 190°.

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If the length of the tube is 84.5cm and the diameter of the tube is 2.40 cm, then area of poster is 636.7 cm² ~ 637 cm²

Given that ;

Length of the cylinder = 84.5 cm

Diameter of the cylinder = 2.40 cm

Then the radius is 1.20 cm

When the poster is uncurled it is in rectangle shape so, length of the poster is 84.5cm.

When poster is curled in cylinder, circumference of circle is breadth of poster = 2πr = 2(22/7)1.2 = 7.53 cm

So the area of poster is length × breadth

Area = 84.5cm × 7.53cm

Area = 636.7 cm²

Hence the area of poster is 636.7 cm² ~ 637 cm²

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Answer:

9 × 2 = 18

Step-by-step explanation:

8 9/10 is closer to 9 than it is to 8. So you round 8 9/10 up to 9.

1 4/5 is closer to 2 than to 1. So round it up to 2.

Use the rounded numbers to estimate the product. 9 × 2 is 18

The estimate is 18.

Answer:

oh hi buddy if your lonely I'm always here for you