Question

hf = 8
gf = 28
find the value of x and gh.
segment addition postulate: gh + hf = gf
press the hotspot and type your answer. do not include symbols, just provide your numerical answer.
x =
gh =

Explanation:

Set up the segment addition equation

Using the Segment Addition Postulate:

$$GH + HF = GF$$

Substitute the given values:

$$2x + 8 = 28$$

Solve for x

Subtract 8 from both sides:

$$2x = 20$$

Divide by 2:

$$x = 10$$

Calculate the length of GH

Substitute \(x = 10\) into the expression for \(GH\):

$$GH = 2x = 2(10) = 20$$

Answer:

Find the value of \(x\) and \(GH\).

Segment Addition Postulate: \(GH + HF = GF\)

\(x =\) <blank>10</blank>

\(GH =\) <blank>20</blank>