Answer:

Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)

so



So 1 5/8 + 2/3 = 13/8 + 2/3
convert the fractions to a common denominator
39/24 + 16/24
55/24
=2 7/24 quarts of paint
Answer:
e = 300 + .0275c
Step-by-step explanation:
So the earnings = e
Then she earns $300 and a bonus for cosmetics : 2.75%c which is equal to 0.0275 c or .0275c the c for cosmetics.
Thus the answer becomes :
e = $300 + .0275c
HOPE THIS HELPED
Answer:
x = 149
Step-by-step explanation:
The transversal <em>t</em> crosses parallel lines <em>m</em> and <em>n</em> creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are <em>corresponding angles</em>.
Corresponding angles in this geometry have identical measures:
x° = 149°
x = 149