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klio [65]
3 years ago
12

Find the value of X A: 7 B: -7, 7 C: 49 D: -49, 49

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
Hi there! The answer is B. -7 or 7

The angles in a quadrilateral always add up to 360°. Therefore the angle of P is
360 - 105 - 75 - 131 = 49

So the angle of P is 49° and equals x^2. Therefore we get the following equation
{x}^{2}  = 49

Take the square root of both sides
x =  \sqrt{49}  = 7
OR
x =  - ( \sqrt{49} ) =  - 7

Since the angle must be positive, the value can as well be -7 as 7 (because the square of both of these numbers is 49°). Hence, the answer is B.


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