Answer:
see explanation
Step-by-step explanation:
The midsegment is a segment joining the midpoints of two sides of a triangle and is
• half the length of the third side
• parallel to the third side
(a)
The equation required to solve for x is
5x = [tex]\frac{1}{2}[/tex] (8x + 10)
(b)
To solve for x
distribute the parenthesis on the right side of the equation
5x = 4x + 5 ( subtract 4x from both sides )
x = 5
(c)
substitute x = 5 into the expression for the third side
8x + 10 = 8(5) + 10 = 40 + 10 = 50
(d)
substitute x = 5 into the expression for the midsegment
5x = 5(5) = 25
(e)
y° and 40° are corresponding angles and are congruent ( equal ), then
y = 40
