Question

⚠️ Please I need help solving!! ⚠️

Answer 1

DE = 26

Explanation:

the segments DE and CD are congruent , that is

DE = CD ( substitute values )

4(x - 3) = 2x + 7

4x - 12 = 2x + 7 ( subtract 2x from both sides )

4x - 2x - 12 = 2x - 2x + 7 ← simplifying both sides

2x - 12 = 7 ( add 12 to both sides )

2x - 12 + 12 = 7 + 12

2x = 19 ( divide both sides by 2 )

x =
`(19)/(2)` = 9.5

Then

DE = 4(x - 3) = 4(9.5 - 3) = 4 × 6.5 = 26

Answer 2

26

Explanation:

The two tick marks on line segment CD and line segment DE tell us that they are of equal length. This means that:

2x + 7 = 4(x-3).

All we need to do is find the value of x, and then find the length of line segment DE.

Finding the Value of X

First, let's start by distributing the 4 to the number in the parentheses:

2x + 7 = 4x - 12

Move like terms to one side

2x - 4x = -12 - 7

-2x = -19

Divide both sides by 2

x = 19/2

Finding the Length of DE

Substituting this value of x into the expression, we find:

4(19/2 - 3) = 4(9 1/2 - 3) = 4(6 1/2) = 4(13/2) = 26