Point H is on line segment GI. Given GH = x + 6, HI = x + 5, and GI = 3x + 8, determine the numerical length of GH.

Step-by-step explanation:

If Point H is on line segment GI, then GH+HI = GI

Given the following parameters

GH = x + 6,

HI = x + 5, and

GI = 3x + 8

To determine the length of GH, we need to get the value of x first. To get x we will substitute the given parameters into the formula as shown;

x+6+(x+5) = 3x+8

2x+11 = 3x+8

collect like terms;

2x-3x = 8-11

-x = -3

divide both sides by -1;

-x/-1 = -3/-1

x = 3

Since GH = x+6

GH = 3+6

GH = 9

Hence the numerical length of GH is 9

42.4

step-by-step explanation:

convert to decimal