Letter b
Angles are supplementary ( the sum of both angles =180)
11x + 8 + 12x +11 = 180
23 x = 180 - 19
23x -= 161
X = 7
Answer:
H is 2.2cm.
Step-by-step explanation:
- A pentagon is a polygon with 5 sides.
- If all the sides are equal it is a regular polygon otherwise it is Irregular.
The Perimeter of the given pentagon =10.5cm
Four sides of Length Hcm are equal
The length of the fifth side = 1.7cm
Therefore: The sum of all the sides= 4H+1.7
4H+1.7=10.5
4H=10.5-1.7
4H=8.8
Divide both sides by 4
H=2.2 cm
The value of H is 2.2cm.
Answer:
<h3>
vertex = (h, k) = (5, -9)</h3>
Step-by-step explanation:
![f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x-8%29%28x-2%29%5Cquad%5Cimplies%5Cquad%20x_1%3D8%5C%2C%2C%5C%20%5C%20x_2%3D2%5C%5C%5C%5C%20h%3D%5Cdfrac%7Bx_1%2Bx_2%7D2%3D%5Cdfrac%7B8%2B2%7D2%3D5%5C%5C%5C%5Ck%3Df%28h%29%3D%285-8%29%285-2%29%3D-3%5Ccdot3%3D-9)
I will be using the associative property. (20 x 9) x 5 = 900
You first multiply 20 x 9, which equals 180, then you multiply 180 x 5, which equals 900.
Answer: D.
Step-by-step explanation:
The formula to find the compound amount (investment plus interest ) at the end of t years :
(1)
, where r= rate of interest ( in decimal)
P= Initial amount.
As per given , we have
P = x dollars
r = 8% = 0.08
t = 5
Put all the values in (1) , we get
Therefore , the the expression that represents the value, in dollars, of Pat's investment plus interest at the end of 5 years :
Hence, the correct answer is D.