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NNADVOKAT [17]
4 years ago
13

What is the value of x?

Mathematics
1 answer:
rodikova [14]4 years ago
8 0

The value of x is 8√2.

<u>Step-by-step explanation</u>:

<u>From the right triangle,</u>

  • The angles are 90°, 45° and the third angle is unknown.
  • Third angle = 180° - (90°+45°) = 45°
  • The measure of third angle is 45°

The length of the side opposite to angle 45° is a=8.

Therefore, the value of y opposite to angle 45° is also 8.(b=8)

<u>Using Pythagorean theorem,</u>

The length of hypotenuse is c ⇒ c² = a²+b²

c² = 8²+8²

c² = 64+64 = 128

c = √128

c = √64\times2

c = 8√2

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x(25-2x)=50
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A is the answer

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