∠AOM ≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
How to Identify Congruent Angles?
From the image of the angles attached, we are given that;
∠AOM ≅ ∠DON
Now, from the vertical angle theorem, we can say that;
∠AOM ≅ ∠CON
Similarly, by vertical angles theorem, we can also say that;
∠BOM ≅ ∠DON
From transitive property of congruence, we can equally say that since ∠AOM and ∠BOM are equal to the same angle, then;
∠AOM ≅ ∠BOM
From transitive property of congruence, we can equally say that since ∠CON and ∠BOM are equal to the same angle, then;
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Answer: ∠AOM≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
Step-by-step explanation:
cause I did the mastery test
can someone help me with this, i don’t understand
Answer:
Step-by-step explanation:
This is just a complicated method to do ratios and proportions
use the given x and y values and the ratio will be determined by k.
Then use that k and the second x value to find y.
-8 = k(20)
k = -2/5
Next part
y = (-2/5)(-4)
y = 1.6
1/4(x-2) +4=12
how do i solve thisssss plssss help it’s for tmr
Answer:
x = 34
Step-by-step explanation:
1/4(x - 2) + 4 = 12
Subtract 4 from both sides.
1/4(x - 2) = 8
Multiply both sides by 4.
x - 2 = 32
Add 2 to both sides.
x = 34
[tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]
Use the distributive property to multiply 1/4 times x−2.[tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]
Multiply 1/4 and −2 to get -2/4.[tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]
Reduce the fraction -2/4 to its minimum expression extracting and canceling 2.[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]
Convert 4 to the fraction 8/2.[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]
Since -1/2 and 8/2 have the same denominator, add their numerators to add them together.[tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]
[tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]
Subtract 7/2 from both sides.[tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]
Convert 12 to the fraction 24/2.[tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]
Since 24/2 and 7/2 have the same denominator, subtract their numerators to subtract them.[tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]
[tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]
Multiply both sides by 4, the reciprocal of 1/4.[tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]
[tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]
[tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]
SkandarI don't understand this and I can't go to school I have covid
During a pudding eating contest, Jackie ate five and a half pudding
cups. His sister ate two and a quarter pudding cups. How many pudding
cups did they eat altogether?
PLS HELP ME BY SHOWING STEP BY STEP, THE EQUATION AND THATS IT PLS HELP IM DESPERATE!!
3.5 lb of cheese for $8.94
$_
per lb
Answer:
your answer is $2.55
A basketball player's free throw percentage is 82.5%, or 0.825.
Write this as a fraction.
A. Identify the place value of the last digit in the terminating
decimal. Use this to determine the denominator of the
fraction. The digits to the right of the decimal point are
the numerator of the fraction.
0.825 = 825
Answer:
The 5 is in the thousandths place.
825/1000
Step-by-step explanation:
Simplified this would be 33/40
825/1000 Divide the top and bottom by 25
Which angles are supplementary to the given angle? I need help
Answer: 4567
Step-by-step explanation:
Solve the following equations
2(3x - 1) + 2(4x+5) =8
Answer
x = 0
____________
Work[tex]2\left(3x-1\right)+2\left(4x+5\right)=8\\2\left(3x-1\right)+2\left(4x+5\right)\\2\cdot \:3x-2\cdot \:1\\2\cdot \:3=6\\2\cdot \:1=2\\=6x-2\\=6x-2+2\left(4x+5\right)\\2\left(4x+5\right)\\2\cdot \:4x+2\cdot \:5\\2\cdot \:4=8\\2\cdot \:5=10\\=8x+10\\=6x-2+8x+10\\6x+8x-2+10\\14x-2+10\\14x+8\\14x+8=8\\14x+8-8=8-8\\14x=0\\\frac{14x}{14}=\frac{0}{14}\\x = 0[/tex]
_____________
Answer:
x = 0
Step-by-step explanation:
Given equation,
→ 2(3x - 1) + 2(4x + 5) = 8
Now the value of x will be,
→ 2(3x - 1) + 2(4x + 5) = 8
→ 6x - 2 + 8x + 10 = 8
→ 14x + 8 = 8
→ 14x = 8 - 8
→ x = 0/14
→ [ x = 0 ]
Hence, the value of x is 0.
1. Two adjacent angles
2. Two acute vertical angles
3. Two obtuse vertical angles
Answer: D e acute
Step-by-step explanation:
The mass of Earth in Kilograms is about 6 x 10 to the 24 power, and the mass of the moon is about 7 x 10 to the 22 power. What is the sum of the masses of earth and its moon
The sum of the masses of earth and its moon is 6.07 * 10^24kg
Sum of scientific valuesScientific values are values expressed in the form A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the following
Mass of earth = 6 *10^24kg
Mass of moon. = 7 *10^22kg
Take the sum
Sum = 600 * 10^22 + 7 * 10^22
Sum = 607 * 10^22
Sum = 6.07 * 10^24
Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg
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Robert wants to throw a party for his friends. he has booked a banquet hall where he plans to serve dinner. the hall costs $200, and dinner costs $30 per person. if the final bill is p, which function gives the number of friends at the party.
A gaming company claimed that their role-playing games take over 65 hours to complete. A sample of 300 gamers played their role-playing games and were able to complete them with a mean time of 63, hours with a standard deviation of 10 hours. Using a 1% level of significance, test the gaming company's hypothesis.
A. Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
B. Reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
C. Fail to reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Answer:
D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Step-by-step explanation:
Let μ = mean time to complete a role-playing game.
The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:
H₀: μ = 65 H₁: μ > 65
Therefore, this is a one-tailed test.
The significance level is 1%, so α = 0.01.
Find the value of the test statistic (z):
[tex]\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300[/tex]
[tex]\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...[/tex]
Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.
Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region. Therefore, the result is not significant.
Conclusion
There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.
Answer:
A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Step-by-step explanation:
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
Find the coordinates of the point 3/10 of the way from A to B.
The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).
What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.
To find the coordinates, use the internal division formula, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-3, -5)
(x₂, y₂) = B(12, 4)
m = 3 and n = 10.
Substitute the values to find the x and y coordinates of point P.
y = (3×4 + 10(-5))/(3 +10)
On solving;
y = -19/15
Solve for x coordinates;
y = (3(12) + 10(-3)/(3 +10)
on solving;
y = 1/5
Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).
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The problem is:
y = -2(x-3)^2
Please help me find the;
Vertex,
X-Intercepts,
and the Axis of Symmetry
Alg 2, Intercept, Vertex form.
The Vertex is at (3, 0)
The Axis of symmetry is; x = 3
The x-intercept is; x = 3
What is the Vertex and Axis of Symmetry?
We are given the quadratic equation as;
y = -2(x - 3)²
Expanding this gives us;
y = -2(x² - 6x + 9)
y = -2x² + 12x - 18
x coordinate of vertex = -b/2a = -12/(2 * -2) = 3
y coordinate of vertex = f(3) = -2(3)² + 12(3) - 18 = 0
Vertex is at (3, 0)
Axis of symmetry is the x coordinate of vertex = -b/2a = -12/(2 * -2) = 3
x-intercepts is gotten by finding the roots which are; x = 3 and 3
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516 is divisible by?
Answer:
1
2
3
4
6
12
43
86
129
172
258
516
Step-by-step explanation:
516 is divisible by?
what is (-3, 0) (0, -3) in slope-intercept form
Answer: Y= 1x + 0
Y=mx+b
The cost of onedozen of egg is 93.6 find out the cost of each egg
Answer:
7.8 rupees
Step-by-step explanation:
*Put in number form*
1- Two times the sum of four and eight
2- Seven less than eight
3-The product of x squared and thirteen
(1) The numerical expression is 24
(2) The numerical expression is 1
(3) The numerical expression is 13x²
A numerical expression includes two words, ‘Numerical’, which suggests related to numbers, and ‘Expression’, that indicates the operations on the numbers. throughout this text NumericalExpressions unit among the foremost basic but most important mathematical ideas.The term numerical refers to 1 factor that involves numbers. we tend to all grasp that expression is nothing but merely a phrase. Thus, numerical expression may well be a phrase involving numbers. In arithmetic, a numerical expression may well be a group of numbers that ar written on by utilizing arithmetic operators addition, subtraction, multiplication, and division(1) 2 ( 4 + 8) = 2 × 12
= 24
(2) 8 - 7 = 1
(3) 13x²
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Graph on the number line the following …. x >7 orx <-3
Answer:
Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2: To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)
Here you go :)
Which is the first error that Tomas made?
Answer:
on what nothing there
Step-by-step explanation:
We use _____ statistics to determine whether results from a sample can be generalized to a population.
To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.
What makes a sample different from the population, please?A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.
Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.
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PLEASE HELP ASAP!!!!!!!!!
Use PEMDAS to solve the following problem: 60* 10-8* (3* 2) What is left after completing the first step of PEMDAS
Answer:60*10-8*6
Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6
The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
How to determine the first step?The equation is given as:
60* 10-8* (3* 2)
Using PEMDAS, the first step is to open the brackets by multiplication So, we have:
60* 10-8* (3* 2)
60* 10-8*6
Then multiply the rest and subtract.
600- 48 = 552
Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
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Parallelogram WXYZ is shown on the coordinate plane.
Parallelogram W’X’Y’Z’ (not shown) is the reflection of parallelogram WXYZ across the y-axis. Which statement is true?
W'X' is parallel to W'Z'
W'X' is parallel to Z'Y'
W'X' is perpendicular to W'Z'
W'X' is perpendicular to Z'Y'
The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'
How to Interpret Transformation Reflection?
Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .
To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )
Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'
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Which new angle is created by extending one side of a triangle?
a remote interior angle
an adjacent interior angle
an exterior angle
a complementary angle
The created by extending one side of a triangle is called: C. an exterior angle.
What is an Exterior Angle of a Triangle?An exterior angle of a triangle is an angle that is formed by extending any of the sides of a triangle. The angle formed, which is called the exterior angle, has a measure that is equal to the sum of the opposite interior angles of the triangle.
Therefore, the angle shown in the image given that is created by extending one side of a triangle is called: C. an exterior angle.
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Mr McGee found that 6 students in his class have a sports practice today based on this result how many of the 300 students in the school have practice today
Answer: Number of students out of 300 who will attend sports class are 200.
Step-by-step explanation:
Let x be no. of students in 300 students who have sports practice;
Mr McGee found that 6 students out of 9 in his class have a sports practice today.
so according to ratio and proportions we have:
6/9=x/300
by cross multiplying 300 on left hand side we have ;
x=200 students
So
number of students out of 300 who will attend sports class are 200.
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Answer:
Step-by-step explanation: Based on the given condition, formulate :
multiply total students with 6
6×300 =1800
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Peter is 10 years old and is 5 years younger than half his dad's age. If his dad is Z years old, what is Z?
Answer:
Z = 30
Step-by-step explanation:
trust me bro
fhfhfhfhhffh
Answer:
Please give brainliest if you think it applies
30
Step-by-step explanation:
Z/2 -5 = 10
Add 5 to both sides
Z/2 = 15
Multiply both sides by 2
Z = 30
f (x) = -x² + 2x
Find f(-3)
Giving brainliest and 5 star rating. Thank you. :)
A hairdresser is making 6 hair bows. She needs 5 over 8 yards for each bow. If she has 8 and 1 over 2 yards of ribbon, how much will be left over after making the bows?
three and one over eight yards
four and three over four yards
six and three over four yards
sixteen and seven over ten yards
Answer:
4 and 3 over 4 yards
Step-by-step explanation:
mariah let 2 fries she had one fries left how many dose she have left?
Answer:
1
Explanation and Check part below
Explanation and Check part belowHope this helps :)
Step-by-step explanation:
2 - 1 = 1
Check:
1 + 1 = 2
2 = 2
True statement.
The function m(x) = |x-441 represents the absolute deviation (in years) of a man's agex (in years) from the average age of men in a
city. The function w(x)=x-47| represents the absolute deviation (in years) of a woman's age x (in years) from the average age of
women in the same city. Compare the absolute deviations for a man and a woman who are both 64 years old.
A
The age of the man is years from the average age of men in the city. The age of the woman isyears from the average age of women in the city.
the absolute deviation for the man is 3 years more than the one for the woman.
How to compare the deviations?We know that the absolute value function:
m(x) = |x - 44|
Represents the absolute deviation of man's age, in years.
This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:
m(64) = |64 - 44| = 20
The absolute deviation for a man of 64 years old living in this city is 20 years.
Similar for the case of women, the equation here is:
w(x) = |x - 47|
If a woman has 64 years old, then the absolute deviation is:
w(64) = |64 - 47| = 17
The absolute deviation is 17 years.
We can see that the absolute deviation for the man is 3 years more than the one for the woman.
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