The squiggly lines and the 2 straight lines through to sides of the pentagon mean that they are congruent (equal in length).
So, to find the perimeter of a regular polygon, you add all of its sides together.
So, the perimeter= 4x-2+x-2+x-2+x+2+x+2
To simplify it, add all of the x's together.
4x+x+x+x+x=8x
Perimeter=8x-2-2-2+2+2
-2-2=-4-2=-6+2=-4+2=-2
Perimeter=8x-2
Reach out to me if you have any questions. I'd be glad to help! :)
Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
____________________________
Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore
b = 7√3.
Answer:
2⁰ + 2¹+ 2⁵ +2³ = 43
Step-by-step explanation:
since 43 is odd, we know 2⁰ or 1 must be one of the sums
43 - 2⁰ = 42
42 - 2¹ = 40
16 = 2⁴
40-2(16) = 40 - 2⁵ = 8
8 = 2³
adding this all together
2⁰ + 2¹+ 2⁵ +2³ = 43
Answer: There are 12 pairs of tennis shoes.
Step-by-step explanation:
Since we have given that
For each pair of tennis shoes , she owns 4 pairs of flip flops,
so their ratio will be 1:4
Let the number of tennis shoes be x
Let the number of flip flops be 4x
According to question,
4x-x=9
3x=9
x=\frac{9}{3}
x=3
So, the number of pairs of tennis shoes is given by
Hence, there are 12 pairs of tennis shoes.
