Question

Can someone help me figure this out!!!

Answer 1

Answers are 26=ED 36=DF 62=EF

Answer 2

Answer:

Basic Concept used:

Since D is the mid-point of EF,

ED will be equal to DF since D is in the middle of the line segment

We are given the following values for ED and DF

ED = 4x + 6  and  DF = 7x - 9

Solving for x:

Since ED = DF (D is the mid point)

4x + 6 = 7x - 9

9 + 6 = 7x - 4x

15 = 3x

x = 5

Finding the values of ED , DF  and EF:

we know that x = 5 (from the last section)

we are given the following values of the line segments:

ED = 4x + 6

DF = 7x - 9

EF (ED + DF) = (4x + 6) + (7x - 9)

Replacing x with 5 in each of these equations:

ED = 4(5) + 5 = 26

DF = 7(5) - 9 = 26

EF = (4(5) + 6) + (7(5)-9) = 26 + 26 = 52