For what values of x and y are the triangles shown congruent by HL?
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Answer:
x=3, y=6
Step-by-step explanation:
If these triangles are congruent via HL, then:
4x+1=13
2x+y=8x-2y
Let's start with the first equation:
4x+1=13
Subtract 1 from both sides:
4x=12
Divide both sides by 4:
x=3
Plugging this into the second equation, you get:
2(3)+y=8(3)-2y
6+y=24-2y
Add 2y to both sides:
6+3y=24
Subtract 6 from both sides:
3y=18
Divide both sides by 3:
y=6
Hope this helps!