Question

1. fill in the blanks 1 point
2. find gh.

(there is a trapezoid or parallelogram - like figure with points b, c, e, f, and midlines or parallel lines gh. bc is labeled 19, fe is labeled 5x + 1, gh is labeled 9x - 3, and g, h are mid - like points on bf and ce respectively.)
gh = type your answer...

Explanation:

Step1: Set BC equal to FE

Since $BC$ and $FE$ are opposite sides of a parallelogram, they are congruent:
$$19 = 5x + 1$$

Step2: Solve for x

Isolate $x$ by subtracting 1 then dividing by 5:
$$5x = 19 - 1 = 18$$
$$x = \frac{18}{5} = 3.6$$

Step3: Substitute x into GH expression

GH is the midsegment of the parallelogram, so use $9x - 3$:
$$GH = 9(3.6) - 3$$

Step4: Calculate final value

Compute the numerical result:
$$GH = 32.4 - 3 = 29.4$$

Answer:

$29.4$