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prisoha [69]
3 years ago
7

Find the measure of angle CKJ if the measure of angle LKC is x + 96, the measure of angle LKJ is 131 degrees, and the measure of

angle CKJ is x + 53.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

The measure of angle CKJ is 44°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LKJ=m∠LKC+m∠CKJ ----> by addition angle postulate

substitute the given values

131\°=(x+96)\°+(x+53)\°

solve for x

131=2x+149

2x=131-149

x=-9

<em>Find the measure of angle CKJ</em>

m∠CKJ=(x+53)°

substitute the value of x

m∠CKJ=(-9+53)=44°

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Step-by-step explanation:

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Just divide the miles they traveled by how long it took them
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Read 2 more answers
PLSSS HELP AND SHOW WORK PLEASE!
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Problem 1

<h3>Answer: 3 slices</h3>

-------------------------------------

Explanation:

1/4 = 0.25

She eats 25% of a pizza in 12 minutes

We can form the ratio 0.25/12

This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.

Solve for x

0.25/12 = x/18

0.25*18 = 12x ..... cross multiply

4.5 = 12x

12x = 4.5

x = 4.5/12

x = 0.375

x = 375/1000

x = (125*3)/(125*8)

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She ate 3/8 of the whole pizza in 18 minutes.

There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.

Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".

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

Problem 2

<h3>Answer: 5/8</h3>

-------------------------------------

Explanation:

We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30

Solving for x leads to...

0.25/12 = x/30

0.25*30 = 12x

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12x = 7.5

x = 7.5/12

x = 0.625

x = 625/1000

x = (125*5)/(125*8)

x = 5/8

She will eat 5/8 of the pizza in 30 minutes.

8 0
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