Question

Integrated math 2 NEED HELP ASAP

Answer 1

56

Explanation:

Since the 2 triangles are congruent, the ratio of their sides are also equal. Therefore, we can set up an equation:

`(10)/(16)=(3x+2)/(5x+1)\\(5)/(8)=(3x+2)/(5x+1)\\5(5x+1)=8(3x+2)\\25x+5=24x+16\\x=11`

Now that we know x, we can plug in x as 11 into the expression of DE to solve for DE:

5*11+1

=56