They are all correct except in 5), 4+8 is 12, not 13.
Answer:
C
Step-by-step explanation:
C is the only choice where all given options have different or no coefficients.
Answer:
135
Step-by-step explanation:
angle 1 and angle 3 are have the same messure so angle 3 equals to 135
63 5*10=50 50+13=63 that is the answer 63
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is
![A=\frac{1}{2} (b_{1} +b_{2} )h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%28b_%7B1%7D%20%2Bb_%7B2%7D%20%29h)
where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,
![b_{2}=b_{1} +6](https://tex.z-dn.net/?f=b_%7B2%7D%3Db_%7B1%7D%20%20%2B6)
Now,
Putting, A=72,
and h=6 we get,
![\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%28b_%7B1%7D%20%2Bb_%7B1%7D%2B6%29%286%29%20%3D%2072)
or, ![b_{1}+b_{1}+6 = \frac{(72)(2)}{6}](https://tex.z-dn.net/?f=b_%7B1%7D%2Bb_%7B1%7D%2B6%20%3D%20%5Cfrac%7B%2872%29%282%29%7D%7B6%7D)
or, ![2b_{1}+6 = 24](https://tex.z-dn.net/?f=2b_%7B1%7D%2B6%20%3D%2024)
or, ![2b_{1}=24-6](https://tex.z-dn.net/?f=2b_%7B1%7D%3D24-6)
or, ![b_{1}= \frac{18}{2}](https://tex.z-dn.net/?f=b_%7B1%7D%3D%20%5Cfrac%7B18%7D%7B2%7D)
or, ![b_{1}=9](https://tex.z-dn.net/?f=b_%7B1%7D%3D9)
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.