Question

question 2
if $\triangle cde$ is an isosceles triangle, with $overline{cd}congoverline{de}$. if $cd = 9x - 25$, $de = 6x + 8$, and $ce = 10x - 73$, find the value of $cd$.
answer attempt 1 out of 5
11 37
71 74

Explanation:

Step1: Set up the equation

Since $\overline{CD}\cong\overline{DE}$ and $CD = 9x - 25$, $DE=6x + 8$, we set $9x-25=6x + 8$.
$9x-6x=8 + 25$
$3x=33$
$x = 11$

Step2: Find the value of CD

Substitute $x = 11$ into the expression for $CD$.
$CD=9x-25=9\times11-25$
$CD=99 - 25$
$CD = 74$

Answer:

74