ItzMEE123 ItzMEE123
  • 28-08-2022
  • Mathematics
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What values of y and z make △ABC≅△VXW?
Please please please hurry

What values of y and z make ABCVXW Please please please hurry class=

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jaimemenendezalvarez
jaimemenendezalvarez jaimemenendezalvarez
  • 28-08-2022

If △ABC≅△VXW then:

AB = VX

CB = WX

Evaluating:

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

Solving the first equation for y:

[tex]2y+2z-40=z+y[/tex]

[tex]2y - y +2z - z= 40[/tex]

y + z =  40

y = -z + 40

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

[tex]16z-13\left(-z+40\right)-24=\left(-z+40\right)+3z-44[/tex]

[tex]29z-544=2z-4[/tex]

29z - 2z = 544 - 4

27z = 540

z = 540 / 27

z = 20

y = -20 + 40

y = 20

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