Yo sup??
The given figure is a parallelogram therefore opposite angles must be equal
6y+4=3y+37
3y=33
y=11
angle H =3*11+37
=70
angle G=180- angle H. (property of parallelogram)
=180-70
=110
Hope this helps
Answer:
Step-by-step explanation:
<u>Part A:</u>
Lets take the value of a=10
Thus a+1=b
10+1=11 , it means the value of b is 11
11>10 or b>a
Now take the value of a as -3
Therefore a+1=b
-3+1= -2
-2>-3 or b>a
The pair of values for a and b are: a=10 then the value of b would be 11;
And a=-3; then the value of b would be: -2.
<u>Part B:</u>
It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b....
D because you are finding the difference
Answer:
Area is 126.5 inches^2
Step-by-step explanation:
Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;
A = 1/2(a + b) h
here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11
Plugging these values into the equation, we have
A = 1/2(9 + 14)11
= 1/2(23)11 = (23*11)/2 = 126.5 inches^2
The volume of a prism is given by
![V = A_b\cdot h](https://tex.z-dn.net/?f=V%20%3D%20A_b%5Ccdot%20h)
Where
is the base are and
is the height.
So, if two prisms have the same height and the same volume, they must have the same base area.
The first base is an equilateral triangle, which means that the height is given by
![h = \dfrac{l\sqrt{3}}{2}](https://tex.z-dn.net/?f=h%20%3D%20%5Cdfrac%7Bl%5Csqrt%7B3%7D%7D%7B2%7D)
So, the area is
![A = 8\cdot\dfrac{8\sqrt{3}}{2} = 32\sqrt{3}](https://tex.z-dn.net/?f=A%20%3D%208%5Ccdot%5Cdfrac%7B8%5Csqrt%7B3%7D%7D%7B2%7D%20%3D%2032%5Csqrt%7B3%7D)
The area of the second base is simply the product of the dimensions, so it is ![6.9x](https://tex.z-dn.net/?f=6.9x)
Since the two areas must be the same, we have
![32\sqrt{3}=6.9x \iff x = \dfrac{32\sqrt{3}}{6.9} \approx 8.03270](https://tex.z-dn.net/?f=32%5Csqrt%7B3%7D%3D6.9x%20%5Ciff%20x%20%3D%20%5Cdfrac%7B32%5Csqrt%7B3%7D%7D%7B6.9%7D%20%5Capprox%208.03270)