In the figure below, line a || line b If m<2=78 degrees which of the following angles also measure 78 degrees select all that apply
Answers
Answer:6
Step-by-step explanation:
Angle 2, angle 6, angle 4, and angle 8 have the same measure that is 78 degrees and this can be determined by using the corresponding angle property.
GIven :
In the given figure, line a parallel to line b.Angle 2 = 78 degrees.The following steps can be used in order to determine the other angles whose measure is 78 degrees:
Step 1 - The corresponding angle property is used in order to determine the other angles whose measure is 78 degrees.
Step 2 - According to the given figure, angle 2 and angle 6 are corresponding angles. Therefore, the measure of angle 6 is also 78 degrees.
Step 3 - Angle 8 is the opposite angle of angle 6 therefore, the measure of angle 8 is 78 degrees.
Step 4 - Angle 4 is the opposite angle of angle 2 therefore, the measure of angle 2 is 78 degrees.
Therefore, the correct options are B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/10714897
Related Questions
Nielson Media Research wants to estimate the mean amount of time (in minutes) that full-time college students spend watching television each weekday. Find the sample size necessary to estimate that mean with a 15-minute sampling error. Assume 96% confidence level is desired. Also assume that a pilot study showed that the standard deviation is estimated to be 112.2 minutes.
Answers
Answer:
The sample size necessary is 237.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Find the sample size necessary to estimate that mean with a 15-minute sampling error.
A sample size of n is necessary.
n is found when [tex]M = 15[/tex]
We have that [tex]\sigma = 112.2[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.056*112.2[/tex]
[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]
[tex]n = 236.5[/tex]
Rounding up,
The sample size necessary is 237.
How many of the following numbers are divisible by 3, 6, and 9?
648 846 126 612 576
Answers
9514 1404 393
Answer:
5 (all of them)
Step-by-step explanation:
The sums of digits are ...
6+4+8 = 18
8+4+6 = 18
1+2+6 = 9
6+1+2 = 9
5+7+6 = 18
When the sum of digits is a multiple of 9, the number is divisible by 3 and 9.
When the number is also even (as all of these are), it is also divisible by 6.
All 5 of these numbers are divisible by 3, 6, and 9.
Answer:
All 5 of them.
Step-by-step explanation:
All the prizes for the contest were won by Josh. Rewrite in an active voice.
Answers
Answer:
Josh won all the prizes for the contest
Step-by-step explanation:
HELP SIMPLE MATH PROBLEM!!!!
Answers
Answer:
32
Step-by-step explanation:
Hello There!
The first thing we need to do is find the formula for area of a trapezoid
The formula is
[tex]A=\frac{a+b}{2} h[/tex]
where a= base 1
b = base 2
and h = height
we are given all of the dimensions so all we have to do is plug them in
sp
[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]
so the area of the figure is
32 units ²
Answer:
32
Step-by-step explanation:
Find formula
A=a+b/2 h
a= base 1
b = base 2
h = height
Then plug everything in
32 units ²
What percent is equivalent to 1/10?
Answers
Answer: 10%
Step-by-step explanation:
1/10 is equal to .10 or 10%
Answer:
10%
Step-by-step explanation:
Divide 1 by 10 and you get 0.10 :)
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answers
Answer:
The y-intercept is -4.
Explanation:
The y-intercept is between -2 and -4 so its actually on -3
Answer:
The y-intercept is -4. This one is false.
Step-by-step explanation:
The slope is positive.
The point (8, 2) is on the line.
The y-intercept is NOT -4. The y-intercept is -3.
The line does not go through the second quadrant.
ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates of A'? *
Answers
Answer:
(-1,-1)
Step-by-step explanation:
a small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=4000(4)^0.13t
where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars.
Answers
Answer:
ZujADADA
Step-by-step explanation: 1+2=3
Find the length of arc AD. Use 3.14 for .
Round to the nearest tenth.
7.9 cm
B
66.4
C
[ ? ]cm
Enter
Answers
Answer:
Length of arc AD = 15.7 cm
Step-by-step explanation:
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = Central angle subtended by the arc
r = radius of the circle
From the picture attached,
Central angle subtended by arc AD = 360° - (180° + 66.4°)
= 113.6°
Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]
= [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm
Answer:
12.4
Step-by-step explanation:
Just did it.
Calculate -7x + 8 + 9 - 3x if x =9
Answers
Answer:
-73 is the simplified answer
Step-by-step explanation:
please help me find the missing side !
Answers
Answer:
x=14 and y=7
Step-by-step explanation:
This is a 30-60-90 triangle
So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]
If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees
And x would be 14 because 2(7)=14
Sammy makes $2,362/month as a baseball coach. He is making a budget, and has created the following chart in order to divide his monthly paycheck into his various accounts:
Answers
Sammy has included a total row to help make sure that his paycheck can be divided to make deposits into these 4
Answer:
B
Step-by-step explanation:
B
$5,136; approximately 24 months.
I got 100% on Edg.
Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 24 41 25 68 53 83 43 63 56 34 45 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.) 48.6364 cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) Variance Standard deviation
Answers
Answer:
[tex]Mean = 48.6364[/tex]
[tex]s^2 = 331.8545[/tex] -- Sample Variance
[tex]s = 18.2169[/tex] --- Sample Standard Deviation
Step-by-step explanation:
Given
[tex]n = 11[/tex]
[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]
Solving (a): The sample mean
[tex]Mean = \frac{\sum x}{n}[/tex]
So:
[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]
[tex]Mean = \frac{535}{11}[/tex]
[tex]Mean = 48.6364[/tex]
Solving (b): Sample variance (s^2)
This is calculated as:
[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]
Where:
[tex]\bar x = 48.6364[/tex]
So:
[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]
[tex]s^2 = \frac{3318.54545456}{10}[/tex]
[tex]s^2 = 331.8545[/tex]
Solving (c): Sample Standard Deviation (s)
This is calculated as:
[tex]s = \sqrt {s^2[/tex]
[tex]s = \sqrt{331.8545[/tex]
[tex]s = 18.2169[/tex]
Do y'all play warlock, hunter, or titan?
Answers
Answer:
I would probably choose warlock if my computer could handle it ;w;
The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?
Answers
Answer:
Step-by-step explanation:
C
Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.
Answers
Answer:
Check pdf
Step-by-step explanation:
Help me me please now
Answers
Answer:
AAA
Step-by-step explanation:
The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.
A bank wonders if omitting the annual credit card fee for customers who charge at least $2400 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 200 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $332, and the standard deviation is $108.
Answers
Answer:
We reject the H0
Step-by-step explanation:
Given that:
Sample size, n = 200
x, = 332 ; s = 108
H0 : μ = 0
H1: μ > 0
The test statistic :
(x - μ) / s/sqrt(n)
332 / 108/sqrt(200)
332 / 7.6367532
Zstatistic = 43.47
Pvalue from Zstatistic at α = 0.05
P value is bet small < 0.00001
Pvalue < α
We reject the null
Conclusion: Amount charged on credit card under the no - fee plan increases
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation to the sun given that a 7.6 meter flagpole casts an 18.2 meter shadow on the ground.
Quick Answer please!!!!
Answers
Answer:
22.7
Step-by-step explanation:
Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7
at a pet store, 3/8 of the total animals were dogs. of those dogs 2/7 were labrador dogs. what fraction of the total pets were labrador dogs?
Answers
Answer: 3/28
Step-by-step explanation:
Here we go, whenever you see the word "of" this mean to multiply
2/7 x 3/8 = 3/28
Answer: 3/28 .
I hope this help...
2 1/3 x 3 5/6 please answer
Answers
Answer:
8 17/18
Step-by-step explanation:
I used an online calculator (calculator soup)
Answer:
8 17/18
Step-by-step explanation:
7/3 * 23/6
7*23
3*6
161/18
8 17/18
How many }2 /3 cups servings are in a 4 cup container of food?
Answers
Answer 83
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 / [tex]\frac{2}{3}[/tex] = 6
Can someone please help me
Answers
Answer:
x = 20
y = 12
Step-by-step explanation:
opposite angles are congruent so we can set up this equation:
5x + 29 = 7x - 11
29 = 2x - 11
40 = 2x
x = 20
5(20) + 29 = 129
7(20) - 11 = 129
3y + 15 = 5y - 9
15 = 2y - 9
24 = 2y
y = 12
3(12) + 15 = 51
5(12) - 9 = 51
Porsche makes fresh batches of cookies to sell at the farmers market each weekend. Every week, she buys all the necessary ingredients and materials to start baking. The graph below shows the profit, P vs the batches of cookies sold, c which of the following statements is FALSE about the relationship graphed below ?? A. The profit Porsche will make increases as the batches of cookies sold increases. B. If Porsche does not sell any cookies, she will lose 250$. C. Porsche must sell at least 40 batches of cookies to break even. D. Porsche will make 150$ for every 20 batches of cookies sold at the farmers market.
Answers
Olivia, the food stand manager, spends $210 per week on vegetable sandwich ingredients. She wants to earn $1870 per week.
Write an equation that can be used to determine x, the number of vegetable sandwiches Olivia needs to sell in order to earn $1870 per week.
Answers
Answer:
187
Step-by-step explanation:
1870/210=187
Also / means divide
How many minutes is 65% of 3 hours? ____ just write the number part of the answer.
Answers
Answer:
117
Step-by-step explanation:
There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.
3 x 60 = 180
To find 65% of 180 you can use the equation
65 x 180/100
65 x 180 divided by 100 is 117.
this is a math question find the complement of 50 degree
Answers
Given:
The measure of an angle is 50 degrees.
To find:
The complement of the given angle.
Solution:
We know that the sum of an angle and its complement is 90 degrees.
Let x be the complement angle of 50 degrees.
[tex]x+50^\circ=90^\circ[/tex]
[tex]x=90^\circ-50^\circ[/tex]
[tex]x=40^\circ[/tex]
Therefore, the measure of complement of the given angle is 40 degrees.
loan or 6075450 from a bank and collected 9037680 as donation. How much is
the society atill short or
18. A man had 10072540 with him. He gave 4836080 to his wife, #3964790 to his son and
the rest to his daughter, How much money was received by the daughter?
10. The cost of a
Answers
Answer:
His daughter received $ 1,271,760.
Step-by-step explanation:
Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:
10,072,540 - 4,836,080 - 3,964,790 = X
5,236,460 - 3,964,790 = X
1,271,670 = X
Thus, his daughter received $ 1,271,760.
Which graph shows a linear function?
Answers
Answer:
None of the above...
Step-by-step explanation:
The first one is a cubic function and the v-shaped one is an absolute value function.
Answer:
It is the 2nd graph. The graph that passes through x=3 and y=3.
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=52°, and UV = 7 feet. Find the length of VT to the nearest tenth of a foot.
Answers
Answer:
5.5 feet
Step-by-step explanation:
Answer:
5.5 feet
Step-by-step explanation:
We have VT adjacent to angle T.
We know that VU, side length that is opposite to T, is 7.
We use the TAN function, which is opposite/adjacent, on T :)
tan(52) = 7/x
x tan(52) = 7
x = 7/tan(52) =~ that's around 5.469 --> 5.5 feet
YAS