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mestny [16]
3 years ago
10

If Ej bisects ZH&J, solve for z. A. X= 41 B. X=47 C. X= 48 D. X= 49

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:

x = 47

Step-by-step explanation:

Bisect means split in half.

If El bisects ∠HEJ then the angles that are created from the bisected segment are congruent

Hence, ∠HEl = ∠JEI

If ∠HEl = x + 3 and ∠JEl = 3x - 91

and the two are congruent

then x + 3 = 3x - 91

Note that we've just created an equation that we can use to solve for x

we now solve for x

x + 3 = 3x - 91

add 91 to both sides

x + 3 + 91 = 3x - 91 + 91

x + 94 = 3x

subtract x from both sides

x - x + 94 = 3x - x

94 = 2x

divide both sides by 2

94/2 = 47

2x/2=x

we're left with x = 47

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With ASA, we need two angles and an included side. An included side is one that is between the two angles.

But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.

Therefore, we need to know that side JI is congruent to YX.

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