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Nataly [62]
3 years ago
7

I need help with this

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

Step-by-step explanation:

∠5 = ∠1             {Alternate exterior angles are congruent}

8x - 19 = 7x - 3

Add 19 to both sides

8x = 7x - 3 + 19

8x = 7x + 16

Subtract 7x from both sides

8x - 7x = 16

   x = 16

∠5 = 8x - 19

    = 8*16 - 19

    = 128 - 19

 ∠5 = 109

∠5 + ∠4 = 180     {linear pair]

109 + ∠4 = 180

         ∠4 = 180 - 109

∠4 = 71°

You might be interested in
Triangle ABC
Stolb23 [73]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

\qquad \sf  \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree

\qquad \sf  \dashrightarrow \: x\degree + 128\degree = 180\degree

\qquad \sf  \dashrightarrow \:x =  180\degree - 128\degree

\qquad \sf  \dashrightarrow \: x = 52\degree

Now, solve for y ~

\qquad \sf  \dashrightarrow \: 70\degree + 49\degree + y = 180\degree

\qquad \sf  \dashrightarrow \:  y + 119 = 180\degree

\qquad \sf  \dashrightarrow \:  y =  180  -  119\degree

\qquad \sf  \dashrightarrow \:  y = 61 \degree

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

8 0
2 years ago
Read 2 more answers
What is the y-intercept of y=−3x−2
erastova [34]
-2.

It is in y=mx+b form.  And 'b' is the y-inter.   -2 is in the 'b' place, therefore, -2 is the y-inter 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!
6 0
4 years ago
In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan
sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation  

\bar X=36670 represent the mean average

\sigma=6362 represent the population standard deviation for the sample  

n=1225 sample size  

\mu_o =37100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal or not to 37100, the system of hypothesis would be:  

Null hypothesis:\mu =37100  

Alternative hypothesis:\mu \neq 37100  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

The best answer would be:

A. Z test

5 0
4 years ago
60-points,5-star ratting,A thanks and MARKED AS BRANLIEST!
vitfil [10]

Answer:

Step-by-step explanation:

31. D     6.5+8 = 14.5 > 12

32. B    -2*5= -10

33. B    -2x=6

:)

8 0
3 years ago
Read 2 more answers
Jamal has run 7 miles from point a to point b of a race. the entire race from point a to point c is 26 miles. how many
Anon25 [30]

The number of more miles he needs to run to complete the race is 19 miles.

<h3 /><h3>How to find distance in miles?</h3>

He has run 7 miles from point a to point b of a race.

The entire race from point a to point c is 26 miles.

Therefore, the number of more miles he needs to run to complete the race is as follows:

let

x = the more miles he needs to run

Hence,

x = 26 - 7

x = 19 miles

Therefore, he needs to run 19 more miles to complete the race.

learn more on distance(miles) here: brainly.com/question/9950097

#SPJ1

8 0
2 years ago
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