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12345 [234]
3 years ago
15

Please help!!! I will vote BRAINLIEST What is the value of k?

Mathematics
1 answer:
Natali [406]3 years ago
4 0
<h3>Answer:  k = 10</h3>

======================================================

Work Shown:

Use the remote interior angle theorem.

The interior angles (4k+5) and (6k+10) add to the exterior angle 115. Note the interior angles are not adjacent to the exterior angle. This is where the "remote" aspect comes in.

So,

(4k+5) + (6k+10) = 115

10k + 15 = 115

10k = 115 - 15

10k = 100

k = 100/10

k = 10

We can stop here.

If you want to keep going, then,

4k+5 = 4*10+5 = 45

6k+10 = 6*10+10 = 70

Note how 45+70 = 115 to help confirm our answer.

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7 0
3 years ago
Please helppp with this math question &lt;333
Naya [18.7K]

Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

5 0
3 years ago
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways c
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Answer:

1,716

Step-by-step explanation:

I just took the quiz.

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2 years ago
What is the inverse of function f?<br> f(x) = -7x - 4
Alona [7]

Your inverse funtion would look like this:

f − 1 ( x ) = − x 7 − 4 7 . This would be your answer.

You're welcome ;)

5 0
2 years ago
Plz help people who are good at math
seropon [69]

Answer:

<ABC

Step-by-step explanation:

When you use three points, two points must be on the rays of the anlge. The middle point must be the vertex.

Answer: <ABC

6 0
3 years ago
Read 2 more answers
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