Answer:
Step-by-step explanation:
You want the external angle to be 45°.
If n = number of sides, the external angles are each 360°/n = 45°
n = 360/45 = 8
The shape is a regular octagon.
Answer:
18
Step-by-step explanation:
First choose the president. From the 4 people, everyone can be the president except Dan, so there are 3 choices.
Then, choose the treasurer. Neither Bob nor Dan can be the treasurer so there are only 2 choices.
Now choose the secretary. Cyd is the only person who can't take this position, so there are 3 choices.
We are asked by the number of ways of choosing the 3 officers. Using the product rule, this is equal to 3×2×3=18.
Answer:
17.6621ft²
Step-by-step explanation:
First we need to find the side length of the patio x
SInce the area of the patio = 750
Area of patio = x * x
Area of patio = x²
750 = x²
Swap
x² = 750
x = √750
x = 27.39ft
Length of the backyard = 27.39ft - 25ft = 2.39ft
Width of the backyard = 27.39ft - 20ft = 7.39ft
Area of the backyard = 2.39 * 7.39
Area of the backyard = 17.6621ft²
Answer:

Step-by-step explanation:
Given: See the attached image
To find: the function represented by the table
Solution:
A function is a relation in which every element of the domain has a unique image in the co-domain.

Here,
are elements in the domain and
are elements in the co-domain.
Therefore, the table represents the function 
If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.
I'm assuming that number up top is an 8. It's kind of blurry.
Since ten is a chord, and x is a segment of it, it can be expressed as x and 10 - x.
3(8) = x(10 - x)


(x - 6)(x - 4) = 0
x - 6 = 0 .... x - 4 = 0
x = 6 .... x = 4
4 or 6