Answer:
(C)9 in.
Step-by-step explanation:
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Given the hexagon with a radius of 10 inches
The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.
Using Pythagoras Theorem

<u>The correct option is C</u>
Answer:
all sides are 16 ft
Step-by-step explanation:
If the side length is x, the area is x²=256, hence x = √256 = 16
Formula
A=bh divides by 2
SUBSTITUTE
45=b9 divided by 2
MULTIPLY/DIVIDE
You can either divide by 2 or multiply by 1/2 (gets the same answer)
9 x 1/2 = 4.5
DIVIDE
45 divides by 4.5 = 10
CHECK
A= 10 x 9 divided by 2 or multiply by 1/2 (same answer) = 45
Thus, the answer is 10.
I hope this helped you understand the process!
First, draw and label a rough sketch of an isosceles triangle. Now put in the values of pq=2x+3 and pr=9x-11
You know that the triangle is isosceles, therefore, the sides pq and pr are identical.
Now, make the equations equal to each other to find the value of x.
2x+3=9x-11
3+11=9x-2x
14=7x
14/7=x
2=x
Therefore the value of x=2.
Hope I helped :)
Answer:
Step-by-step explanation:

Multiplying both sides by
gives us the following:

Multiplying both sides by 8 gives us the following:

Dividing both sides by 5 gives us the answer:
