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What values of y and z make △ABC≅△VXW?
Please please please hurry

What values of y and z make △ABC≅△VXW? Please please please hurry-example-1
User Lauda  Wang
by
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1 Answer

2 votes

If △ABC≅△VXW then:

AB = VX

CB = WX

Evaluating:


\begin{bmatrix}2y+2z-40=z+y\\ 16z-13y-24=y+3z-44\end{bmatrix}

Solving the first equation for y:


2y+2z-40=z+y


2y - y +2z - z= 40

y + z = 40

y = -z + 40

Substituying y = -z + 40 in the second equation:


16z-13\left(-z+40\right)-24=\left(-z+40\right)+3z-44


29z-544=2z-4

29z - 2z = 544 - 4

27z = 540

z = 540 / 27

z = 20

y = -20 + 40

y = 20

User Exoddus
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