In the following diagram,


m
.



Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.

In The Following Diagram, M.Solve For Each Of The Variables W, X, Y, And Z. For Each Solution, Explain,

Answers

Answer 1

Answer:

w = 94 degrees

x = 105 degrees

y = 75 degrees

z = 86 degrees

Step-by-step explanation:

The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.

180 - x = 75

x = 105 degrees

The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees

In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.

So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees

Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.

I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.

In The Following Diagram, M.Solve For Each Of The Variables W, X, Y, And Z. For Each Solution, Explain,

Related Questions

Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)

Answers

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

Answer:

0,1

Step-by-step explanation:

A student correctly write 0.15 as a percent. Of the student writes the answer in the form x % , what is the value of x

Answers

Answer:

The answer should be 15%

Step-by-step explanation:

please help!!! PLEASE

Answers

Answer:

a) height = 1.88 m

b) slide length = 2.92 m

Step-by-step explanation:

a) sin 70° = x/2

0.9397 = x/2

x = 1.88 m

b) sin 40° = 1.88/slide

0.6428 = 1.88/slide

slide = 2.92 m

HELP ME PLZ!!!!! ..................................

Answers

Step-by-step explanation:

the the number on the top corner is adding zeros so 6.3 / 10/3 the answer is for that 6.30

1. 90.4
2. 904
3. 9040
4. 90400
5. 904000


determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo​

Answers

You only wrote one option, but luckily, those two fractions ARE equivalent!

We know that because if you multiply the denominator AND numerator by 4, you get 16/20.

Answer:

explanation

Step-by-step explanation:

just multiply the numerator and the detonator by 4 and u get 16/20

Cushing's disease is characterized by muscular weakness due to adrenal or pituitary dysfunction. To provide effective treatment, it is important to detect childhood Cushing's disease as early as possible. Age at onset of symptoms and age at diagnosis (months) for 15 children suffering from the disease were given in an article "Treatment of Cushing's Disease in Childhood and Adolescence by Transphenoidal Microadenomectomy" (New Engl. J. of Med., 1984: 889). Here are the values of the differences between age at onset of symptoms and age at diagnosis:
-24 -12 -55 -15 -30 -60 -14 -21
-48 -12 -25 -53 -61 -69 -80
Calculate a 95% confidence interval for the population mean difference, and interpret the resulting bound.

Answers

Answer:

Since the calculated value of t =-0.427 does not  fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Step-by-step explanation:

The given data is

Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80

∑ d= -579

 ∑d²= 29871

1) Let the hypotheses be

H0: ud= 25 against the claim    Ha: ud ≠25

H0 : mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Ha:   mean difference in the  age of onset of symptoms and age of diagnosis is not 25 months.

 

2) The degrees of freedom = n-1= 15-1= 14

3) The significance level is 0.05

4) The test statistic is

t= d`/sd/√n

The critical region is ║t║≤ t (0.025,14) = ±2.145

d`= ∑di/n= -579/15= -38.6

Sd= 23.178  (using calculators)

Therefore

t= d`/ sd/√n

t= -38.6/ 23.178√15

t= -1.655/3.872= -0.427

5) Since the calculated value of t =-0.427 does not  fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Help due 30 mins....

Answers

X equals to 55+x=180, x=125

A company sells their product in Canada and the United States. They wonder if people in both countries will respond similarly to a new advertisement for the product. They show the ad to a sample of 202020 Canadians and a separate sample of 202020 Americans. Here is a summary of the responses in each sample and the results from a chi-squared test:

Chi-square test: Response vs. country
Canada US
Positive 11 5
Expected 8.0 8.0
Neutral 6 5
Expected 5.5 5.5
Negative 3 10
Expected 6.5 6.5

x = 6.110, DF = 2, P-value = 0.047

Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test?

Answers

Answer:

This is convincing evidence that the responses differ between these countries.

Step-by-step explanation:

The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.

The most appropriate conclusion to draw from the test is an evidence of a significant association between the country of origin and the responses to the new advertisement

What is chi squared statistic?

The chi-squared statistic (often denoted as χ^2) is a measure of the discrepancy between the observed frequencies and the expected frequencies in a categorical data set. It is commonly used in statistical hypothesis tests to assess whether there is a significant association or relationship between categorical variables.

The formula for calculating the chi-squared statistic depends on the type of data and the specific hypothesis being tested. In general, it involves computing the sum of squared differences between the observed and expected frequencies, divided by the expected frequencies.

The chi-squared statistic follows a chi-squared distribution, and its value can be compared to critical values or used to calculate a p-value to determine the statistical significance of the association.

Given data ,

Based on the given summary and the results of the chi-squared test, we can draw the following conclusion:

At the significance level of α = 0.05, we have enough evidence to reject the null hypothesis and conclude that there is a statistically significant difference in the responses to the new advertisement between Canadians and Americans.

The chi-squared statistic (x) of 6.110 with 2 degrees of freedom (DF) produces a p-value of 0.047, which is less than the significance level of 0.05.

This indicates that the observed differences in the responses between the two countries are unlikely to occur by chance alone, and there is evidence of a significant association between the country of origin and the responses to the new advertisement.

Hence , the chi-squared statistic is solved

To learn more about chi-squared statistic click :

https://brainly.com/question/31036349

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three girls share 12000 in the ratio 2.3.7 calculate how much each girl will get​

Answers

9514 1404 393

Answer:

  2000, 3000, 7000

Step-by-step explanation:

The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.

The girls get 2000 : 3000 : 7000.

Find the missing the terms of the arithmetic sequence

Answers

Answer:

1.7

Step-by-step explanation:

2.3, 3.1, 1.9, 1.7, 1.5 (-0.2)

18-2g=4g
Simplify !!!

Answers

Answer is 3✌✌✌✌✌✌I think

Which point is a solution to y is less than or equal to 4x + 5?

Answers

y=2x+4 I think hopefully

Answer:(0,-2)

Step-by-step explanation:

Joan is trying to get through all 275 episodes of Cheers on DVD. She's already watched 83, and she figures she can get through 4 episodes per day if she really focuses. How many days will it take her to finish the series?
A) 48 days
B) 192 days
C) 50 days
D) 68.75 days

Answers

Answer: (a)-48 days

Step-by-step explanation:

Given

Joan is watching 275 episodes of Cheers and already watched 83

She can watch 4 episodes per day

Remaining episode 275-83=192

No of days required to finish Cheers

[tex]\Rightarrow n=\dfrac{192}{4}=48\ \text{days}[/tex]

Hi please help me I'm in the middle of a test and I don't want to get grounded

Answers

Answer:

8(3j-2)

Step-by-step explanation:

Answer:

A.

[tex]8(3j - 2)[/tex]

I need this please help me

Answers

Answer:

s' = (3,2) t' = (2,4) u' = (1,1)

Step-by-step explanation:

can i have brainliest plz

19 Jaime bounces a basketball 30 times in 25 seconds. At that rate,
approximately how many times will she bounce the ball in 65 seconds?
A 78
B 80
C 55
D 64

Answers

Answer:

A.78

Step-by-step explanation:

[tex]\frac{30}{25sec}[/tex] -----> [tex]\frac{78}{65sec}[/tex] (scale by 2.6)

You cant get the answer by following these steps.

1. To find out how much we must increase with our scaling we must divide the denominators.

[tex]\sqrt[25]{65}[/tex]= 2.6

2. Then, we do the scaling. Multiply the numerator and the denominator by 2.6.

num- 30 x 2.6= 78.0 (DONT FORGET UR DECIMALS)

dem- 25 x 2.6 = 65

3. Now you have your answer and all you need to do is show it in fraction form as seen below the words "step by step explanation"

Gook luck and pls give brainlist

A farmer plants 987 apple trees in 9 rows. Can each row have the same number of trees? How do you know?​

Answers

No.. if u divide 987 apples by 9 rows u get 109.6 meaning each row will not have the same amount of apples. (987 divided by 9=109.666667)

Each row cannot have the same number of trees.

What is Divisibility?

In mathematics, the term "divisibility" describes a number's ability to be divided by another number in an equal amount without any residue. For instance, it's simple to understand how 40 by 4 can be divided. A huge piece of land that can be divided into smaller chunks and sold separately is said to be divisible, much as it is obvious when you cut into a pan of brownies and distribute equal amounts to each of your friends.

As per the given data:

Number of apple trees = 987

Number of rows = 9

To find whether each row has the same number of trees:

If 987 is divisible by 9 then, the same number of trees can be there else not.

= (987/9) = (329/3) = 109.667

Not divisible, so same number of trees cannot be there.

Hence, each row cannot have the same number of trees.

To learn more about divisibility, click:

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Is square root of 11 a irrational number

Answers

Answer:

yes I think square root of 11 is irrational no....

Yes, it is an irrational number.

What's the surface area?

Answers

Answer:

24

Step-by-step explanation:

8 x 3 = 24

It would be 24 yards

Jake paid $28.00 for admission to the county fair and bought 12 tickets to play games. If he spent a total of $64, what is the cost, x, of one ticket? Write and Solve an Equation.

Answers

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle

Answers

Answer:

B) equilateral triangle

E) acute triangle

Step-by-step explanation:

a lorry is travelling at 13.5m/s along a stretch of road​

Answers

Answer:

Proved

Step-by-step explanation:

This question is incomplete. The complete details are:

[tex]v = 13.5m/s[/tex] --- speed of the lorry

[tex]v_2 =50km/h[/tex] --- speed limit on the road

Required

Prove that the lorry is within the speed limit

To do this, we simply convert the speed of the lorry to km/h.

So, we have:

[tex]v = 13.5m/s[/tex]

[tex]1m = 0.001km[/tex]

and

[tex]1s = \frac{1}{3600}h[/tex]

So, the expression becomes:

[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]

[tex]v = \frac{0.0135km}{1/3600h}[/tex]

Rewrite as:

[tex]v = 0.0135km/h * 3600[/tex]

[tex]v = 48.6km/h[/tex]

48.6km/h is less than 50km/h (the speed limit).

Hence, the lorry is within the speed limit.

Which choice is equivalent to the fraction below?
5/16

O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5

Answers

Answer:

I think A

Step-by-step explanation:

   But im not sure

Solve and graph 4<-1/3n

Answers

Answer:

n<-12

Step-by-step explanation:

4<-1/3n

4<-n/3

4×3<-n

12<-n

-12<n

n<-12

write the following comparison as a ratio reduced to lowest terms.


40 nickels to 50 dimes​

Answers

Answer:

2.5 : 2

Step-by-step explanation:

Answer:

$2 : $5

Step-by-step explanation:

40 nickels = $2

50 dimes = $5

PLEASE. ITS DUE IN 10 minutes. Anyoneeee

Answers

Answer:

-4.25

Step-by-step explanation:

Y = -4

Z = ?

-4Z = 17

Z = -4.25

Please help very urgent

Answers

Answer:

330 degrees

Step-by-step explanation:

look at 4th quadrant of unit circle

(cos,sin)

(sqrt3/2,-1/2)=330

PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9

Answers

Answer:

8 tables

Step-by-step explanation:

2 class * 30 students + 2 teachers + 2 parents

= 64 people

64 people * 1 table/8 people = 8 tables

Mark brainliest if this helped

Mark brainliest if this helped

Step-by-step explanation:

8 tables because 30+30 =60

and 2+2=4 which is 64 and 8×8=64

Pleaseee helppp!!! I’m not sure

Answers

Answer:

It’s A, 8(7+8+16)
Hope this helps!


Question 3
The time needed for surgeons to complete a specific knee surgery is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
What is the probability that a surgery will last for more than 98 minutes?

0.0010
0.0359
0.9664
0.9641

Answers

Answer:

I would say d.im pretty sure tho

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