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olga nikolaevna [1]
2 years ago
14

What is the congruence correspondence, if any, that will prove the given triangles congruent?

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer:

C. HL

Step-by-step explanation:

The two triangles shown are right triangles.

The hypotenuse of one is congruent to the hypotenuse of the other. Also, the length of one of the legs of one triangle is congruent to the corresponding leg of the other triangle.

Based on true HL Congruence theorem, both triangles are congruent to each other.

Therefore, the congruence correspondence that will prove both triangles are congruent is: HL

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bija089 [108]

Answer:

w = 7

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

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angle bisector of <FGH = GK

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Value of w

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Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

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Divide both sides by 2

\frac{104}{2} = \frac{2*(7w + 3)}{2}

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Subtract 3 from each side

52 - 3 = 7w + 3 - 3

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Divide both sides by 7

\frac{49}{7} = \frac{7w}{7}

7 = w

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