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guajiro [1.7K]
3 years ago
9

Find the m ∠YXZ. Show your Work

Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

∠YXZ = 62°

Step-by-step explanation:

A straight line measures 180 degrees

The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:

Z + 8x - 14 = 180

Z = 180 +14 - 8x

Z = 194 - 8x

Sum of 3 angles of a triangle is 180 degrees, thus we can write:

X + Y + Z = 180

3x + 5 + 4x + 194 - 8x = 180

Now, we solve for x:

3x + 5 + 4x + 194 - 8x = 180\\-x+199=180\\x = 199-180\\x=19

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:

3x + 5

3(19) + 5

62

Thus,

∠YXZ = 62°

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7,24,25. 7 , 23,24 7, 25,26 <br> Which of the following will form a right triangle
Andru [333]
We know that
In <span>a right triangle
c</span>²=a²+b²
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c is the hypotenuse of the triangle
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case 1)7,24,25
25²=7²+24²
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7²+24²----> 625
625 is equal to 625----------> <span>form a right triangle
</span>
case 2) 7,23,24
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the answer is
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8 0
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