The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is
... G. w = 105°, because ...
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In short, an exterior angle is equal to the sum of the opposite interior angles.
... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60
... w = 45 +60
We have that
point C and point D have y = 0-----------> (the bottom of the trapezoid).
point A and point B have y = 4e ---------- > (the top of the trapezoid)
the y component of midpoint would be halfway between these lines
y = (4e+ 0)/2 = 2e.
<span>the x component of the midpoint of the midsegment would be halfway between the midpoint of AB and the midpoint of CD.
x component of midpoint of AB is (4d + 4f)/2.
x component of midpoint of CD is (4g + 0)/2 = 4g/2.
x component of a point between the two we just found is
[(4d + 4f)/2 + 4g/2]/2 = [(4d + 4f + 4g)/2]/2 = (4d + 4f + 4g)/4 = d + f + g.
</span>therefore
the midpoint of the midsegment is (d + f + g, 2e)
Answer:
m∠1 = 99°
Step-by-step explanation:
∠2 and ∠81° are Corresponding Angles, so they are equal to each other:
∠2 = 81°
∠1 and ∠2 are Supplementary Angles, so they add up to 180°:
180 - m∠2 = m∠1
180 - 81 = 99°
Answer:
2.5cm
Step-by-step explanation:
area of a trapeziod = 1/2 (a+b)×h
a=1cm
b=5cm
h=?
area= 7.5cm^2
••••• 7.5cm^2=1/2 (6)h
7.5= 3h
then height = 7.5/3= 2.5cm
