Which value of x would make triangle s u v is-congruent-to triangle t u m by hl?

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Step-by-step explanation:

Actually, the complete question includes the expression of each hypothenuse, because the problem is about congruence between right triangle.

So, the hypothenuse for is: .

The hypothenuse for is:   .

So, the postulate HL (Hypothenuse-Leg) states that both right triangles are equal if their hypothenuses and legs are equal. So, we have to make equal both hypothenuse expression and solve for :

Therefore, when these triangles are congruent.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2