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erastova [34]
4 years ago
14

In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?

A) 79° B) 81° C) 83° D) 86°

Mathematics
2 answers:
lorasvet [3.4K]4 years ago
7 0

Answer:

b balty brings

Step-by-step explanation:

wel4 years ago
4 0

Answer:

B) 81°

Step-by-step explanation:

Given:

From the figure given below,

∠1 = 3x + 18

∠7 = 2x + 39

∠1  and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.

Therefore, the angles 1 and 7 are congruent to each other. This gives,

∠1  ≅ ∠7

3x+18=2x+39\\\\3x-2x=39-18\\\\x=21

Therefore, the value of 'x' is 21.

Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,

\angle 7 = 2x + 39\\\\\angle 7 =2\times 21+39\\\\\angle 7 =42+29\\\\\angle 7 =81\°

Therefore, the correct option is option (B).

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tino4ka555 [31]

The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%

<h3>How to determine the percentage increase?</h3>

The distance ran are given as:

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The percentage increase is calculated using:

Percentage = (Final - Initial)/Initial

So, we have:

Percentage = (9 - 5)/5

Evaluate

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Express as percentage

Percentage = 80%

Hence, the percentage increase is 80%

Read more about percentage increase at:

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Answer:

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Step-by-step explanation:

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klio [65]
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Solve system of equation by elimination<br> 4x+3y=-1<br> 5x+4y=1
zvonat [6]

Answer:

<u>x= -7 , y= 9</u>

Steps:

4x+3y=-1

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First, multiply the top equations by -5, and the bottom by 4 to get :

-20x-15y=5

20x+16y=4

Then, you’re going to add the two equations with them being on top of each other so you can easily see what cancels out :

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———————

0+1y=9

From this, you get :

y=9

Now that you have one variable, find x by substituting 9 for y in one of the equations, I choose :

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Then subtract 27 on each side :

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Then, divide by 4 to get that :

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Hope this helps!!

7 0
3 years ago
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son4ous [18]

Answer:

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Step-by-step explanation:

8.07

x 5.3

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