camillebalding
camillebalding camillebalding
  • 12-05-2021
  • Mathematics
contestada

HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.

HELP IM GOING TO HAVE A MENTAL BREAKDOWN Find the values of x and y that make these triangles congruent by the HL Theorem class=

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tankisfun97 tankisfun97
  • 12-05-2021

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

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