Answer:
6 =v
Step-by-step explanation:
-5(v - 1) = -6- (1 + 3v)
Distribute
-5v +5 = -6 -1 -3v
Combine like terms
-5v +5 = -7 -3v
Add 5v to each side
-5v+5v +5 = -7 -3v+5v
5 = -7+2v
Add 7 to each side
5+7 = -7+7 +2v
12 = 2v
Divide each side by 2
12/2 = 2v/2
6 =v
The two triangles are congruent through AA (angle-angle proportionality theorem) therefore all the sides are congruent to each other.
In this case:
2y = 5y - 7
2y - 5y = -7
-3y = -7
y = -7/-3
y = 7/3
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Hello
DEF and IKL , equilateral =>
DE = 5x-12 = 3x-4
5x-3x= -4+12
2x= 8
x=4
DE = 5x-12 = 20-12 = 8
KL = 3x+24 = 10x+3
24 -3 = 10x-3x
21 = 7x
x= 21/7 = 3
KJ = 10x+3 = 30+3 = 33
