Question

value: 2
find the length of eh.
e d
5x - 3
h
2x + 24
f g
a. 3
b. 9
c. 21
d. 42

Explanation:

Step1: Set up equation

In a parallelogram, the diagonals bisect each other. So, $5x - 3=2x + 24$.

Step2: Solve for x

Subtract $2x$ from both sides: $5x-2x - 3=2x-2x + 24$, which simplifies to $3x-3 = 24$. Then add 3 to both sides: $3x-3 + 3=24 + 3$, getting $3x=27$. Divide both sides by 3: $x=\frac{27}{3}=9$.

Step3: Find length of EH

We can use either $5x - 3$ or $2x + 24$. Using $2x + 24$ (we could also use the other expression), substitute $x = 9$ into it: $2\times9+24=18 + 24=42$.

Answer:

d. 42