Question

use the image to answer the question. if $delta lafcongdelta now$, find the length of $overline{lf}$. (1 point)

Explanation:

Step1: Set equal corresponding sides

Since $\triangle LAF\cong\triangle NOW$, we can set $LA = NO$. So $x + 2=3x - 4$.

Step2: Solve for x

Subtract $x$ from both sides: $2 = 2x-4$. Then add 4 to both sides: $6 = 2x$. Divide by 2, we get $x = 3$.

Step3: Find length of LF

The length of $LF=4x$. Substitute $x = 3$ into $4x$, we have $4\times3=12$.

Answer:

12