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Darkwynd11791
06.11.2019 •
Mathematics
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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Ответ:
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 =![\frac{10}{2}](/tpl/images/0362/4633/ad230.png)
x = 5
Therefore, option D. x = 5 is the answer.
Ответ:
thats great figure it out sorry getting points
Step-by-step explanation: