Question

△abc≅△dec. solve for x.
a
2x + 18
24
54
c
d
26
3x
b
e
4x - 8

Explanation:

Step1: Identify corresponding sides

Since $\triangle ABC\cong\triangle DEC$, corresponding sides are equal. Side $AB$ corresponds to side $DE$. So, $24 = 4x - 8$.

Step2: Solve the equation for x

Add 8 to both sides of the equation: $24+8=4x - 8+8$, which simplifies to $32 = 4x$.

Step3: Isolate x

Divide both sides by 4: $\frac{32}{4}=\frac{4x}{4}$, so $x = 8$.

Answer:

$x = 8$