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Find the values of x and y that make these triangles congruent by HL.
x = -3 y - 4
x = -4 y-3
x = -6. y-5
x = -5, y = 6

Find the values of x and y that make these triangles congruent by HL x 3 y 4 x 4 y3 x 6 y5 x 5 y 6 class=

Respuesta :

calculista

Answer:

[tex]x=5, y=6[/tex]

Step-by-step explanation:

we know that

If triangles ABC and AED are congruent, then its corresponding sides are congruent

so

BC=ED

AC=AD

substitute the given values

[tex]x=y-1[/tex] ----> equation A

[tex]3x-2=2y+1[/tex] ----> equation B

solve the system by substitution

substitute equation A in equation B

[tex]3(y-1)-2=2y+1[/tex]

solve for y

[tex]3y-3-2=2y+1[/tex]

[tex]3y-2y=1+5[/tex]

[tex]y=6[/tex]

Find the value of x

[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]

therefore

[tex]x=5, y=6[/tex]

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