Question

question 4 of 10 if abcd is an isosceles trapezoid, what is the value of x? ac = 5x - 25 bd = 3x + 11 a. 26 b. 23 c. 13 d. 18 e. 24.5 f. cannot be determined

Explanation:

Step1: Recall property of isosceles trapezoid

In an isosceles trapezoid, the diagonals are equal. So, $AC = BD$.

Step2: Set up the equation

Set $5x - 25=3x + 11$.

Step3: Solve for x

Subtract $3x$ from both sides: $5x-3x - 25=3x-3x + 11$, which simplifies to $2x-25 = 11$. Then add 25 to both sides: $2x-25 + 25=11 + 25$, getting $2x=36$. Divide both sides by 2: $\frac{2x}{2}=\frac{36}{2}$, so $x = 18$.

Answer:

D. 18