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Bingel [31]
3 years ago
7

Find the Value of X.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

C

Step-by-step explanation:

∠ TUL + ∠ LUV = ∠ TUV , substitute values

x + 16 + 11x = 172 , that is

12x + 16 = 172 ( subtract 16 from both sides )

12x = 156 ( divide both sides by 12 )

x = 13 → C

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docker41 [41]
Answer: 12.

To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.

In the first line:
QR = 15 - 4x.

In the third line:
QR = 13x - 1 - x = 12x - 1.

Now, we have to set these equations equal to each other. 
15 - 4x = 12x - 1
15 = 16x - 1
16x = 16
x = 1

Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
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3 years ago
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jenyasd209 [6]
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2 years ago
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Step-by-step explanation:

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