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Triangles S U V and R U W are connected at point U. Angles S U V and W U T are right angles. The length of hypotenuse S V is 2 x + 9 and the length of hypotenuse W T is 4 x minus 1. Sides V U and U W are congruent. Which value of x would make Triangle S U V Is-congruent-to Triangle T U M by HL? 2 3 4 5

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Vanesacool

THE ANSWER IS D. 5

my answer is too short so just ignore this part but I can promise the answer is five.

Answer:

Option D. x = 5

Step-by-step explanation:

Figure for the given question is not attached; please find the figure attached with the answer.

In this figure, ∠SUV ≅ ∠WUT ≅ 90°

Length of hypotenuse SV = 2x + 9

and length of hypotenuse WT = 4x - 1

Sides VU ≅ UW

If triangles SUV and TUM are congruent, by the property of (HL) Hypotenuse-Leg theorem

VU ≅ UW  [Given]

Hypotenuse SV ≅ TW

2x + 9 = 4x - 1

4x - 2x = 9 + 1

2x = 10

x = [tex]\frac{10}{2}[/tex]

x = 5

Therefore, option D. x = 5 is the answer.

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