Answer:
38 units.
Step-by-step explanation:
4x + 6 =
{midpoint theorem}
4x + 6 = 
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
Answer:
20/29
Step-by-step explanation:
sin θ = 21/29
Use Pythagorean identity:
sin² θ + cos² θ = 1
(21/29)² + cos² θ = 1
441/841 + cos² θ = 1
cos² θ = 400/841
cos θ = ±20/29
Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5
the answer is
x=30 4/5</span>