*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon:
square units
(22)
Similar to (21)
Area =
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:


Hence, area of the hexagon will be:
square units
(24)
Given is the inradius of an equilateral triangle.

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle =
square units
Answer:
43
Step-by-step explanation:
Let's call this number x. The word sum means addition, so we can write x + 21 = 64. When we subtract 21 from both sides, we get x = 43. Hope this helps!
Answer:
5
Step-by-step explanation:
HOPE THIS HELPS YOU!
brainliest?
This is all about proportions. You can make this into fractions:
3/5 = 12/x
A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)
So then you have this:
12/20 = 12/x
It's basically a fill in the blank from there. x= 20
Elena's team played 20 games
Answer:
15:12:3= 15 boys 12 girls and 3 teachers
Step-by-step explanation:
There are 5 boys in the School and 4 girls in the School and 1 teachers in the School
Because you got to try to look for a number that you can divide by all three numbers. And that number is 3. Because if you do 15 ÷ 3 =5, 12÷3=4, 3÷3=1