Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = 
3). MN = 
= 14
4). MN = 
= 66.5
5). MN = 
7 = 
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = ![\frac{1}{2}[(3x+2)+(2x-2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B2%29%2B%282x-2%29%5D)
30 = 5x
x = 6
Answer:
52 cubic units
Step-by-step explanation:
1. Divide the shape into 2 parts:
The first one: a 2 by 4 by 6 rectangular prism.
The second one: a 1 by 4 by 1 rectangular prism.
2. Find the volumes of the prisms.
2*4*6=48
1*4*1=4
3. Add the two volumes
48+4=52 cubic units (or units^3)
1/3 and 3/8
First, you would need to find the lowest common multiple.
It would be 24.
Change both fractions to fractions with a denominator of 24
1/3*8=8/24
3/8*3=9/24
You can see that 9 is greater that 8. Therefore 3/8 is greater.
We know that
The exterior angle measures of a polygon must add up to 360°,
therefore
360°/72°=5 exterior angles
so
5 exterior angles, would mean 5 interior angles and therefore 5 sides to the polygon
The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.
exterior angle+interior angle=180°
interior angle=180°-exterior angle
interior angle=180°−72°-------> 108°
Each interior angle is 108°
The sum of the interior angles would be
5*108°=540°
the answer is
540°
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