Step-by-step explanation:
We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.
Lets test this formula.
Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.
Now lets put it to use.
Octagon has 8 sides - 2 = 6.
6 * 180 = 1080
Pentagon has 5 sides - 2 = 3
3 * 180 = 540
Another Pentagon 5 sides - 2 = 3
3 * 180 = 540
We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.
1080/8 sides = 135 degrees
540 / 5 sides = 108 degrees
540 / 5 sides = 108 degrees
We add these up,
135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.
Hope this helps
This is 6C2
= 6!
-------- = 6*5 / 2*1 = 15
2! 4!
Answer:
D
Step-by-step explanation:
if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.
The <em><u>correct answer</u></em> is:
D) Closed circle on 8, shading to the right.
Explanation:
First we must solve the inequality:
x - 3 ≥ 5
Add 3 to each side:
x - 3 + 3 ≥ 5 + 3
x ≥ 8
To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.
Since it is "greater than," we want the numbers to the right of 8 on the number line.
This means the inequality will be a closed circle and shaded to the right.
9514 1404 393
Answer:
(c) 31°
Step-by-step explanation:
Angles 1 and 2 are congruent. Each is half the sum of the subtended arcs:
∠1 = ∠2 = (37° +25°)/2 = 31°
