Answer:
30 in^2
Step-by-step explanation:
The formula for finding the area of a trapezoid is A=a+b/2 x h
In this case, a=5, b=10, and h=4
When you input those values into the formula and solve for A, you get A=30
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The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180
Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180
Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31
<em>ANSWER: x = 31</em>
The property of distribution