Question

Find x, GH, and HI .

Answer 1

Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4

We can establish the following equality statement to solve for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

Combine like terms:
5x - 7 = 53

Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60

Divide both sides by 5 to solve for x:
5x/5 = 60/5

x = 12

Substitute the value of x into the equality statement to verify if it is the correct value for x:

GH + HI = GI
3x - 11 + 2x + 4 = 53

3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).

Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25

HI = 2x + 4
HI = 2(12) + 4
HI = 28

Please mark my answers as the Brainliest, if you find this helpful. :)