Octagon, stop sign.
Eight isoscles triangles. It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.
So each isosceles triangle has area (1/2)(9.9)(12) and we have eight of them,
area = 8(1/2)(9.9)(12) = 475.2
Answer: 475.2
Usually we wouldn't be told 9.9 -- this is the baby version. We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.
The area of the right triangle with long leg 12, short leg x,
tan 22.5 = x/12 or
x = 12 tan 22.5
Twice that is what we're told is 9.9; let's check:
2x = 24 tan 22.5 = 9.941125496954282
The area of the little right triangle is
(1/2) 12 × 12 tan 22.5
and there are 16 of these
16 (1/2) 12 × 12 tan 22.5 ≈ 477.174
Answer: c=59 degrees.
Step-by-step explanation:
57 + d + 64 = 180
121 + d = 180
-121 -121
d = 59
Angle d is alternate interior to angle c so they are congruent.
Answer:
14 because when you divide it but not sure what yours is about
Step-by-step explanation:
Answer:
P odd number, then 20) = 1 /14
Step-by-step explanation:
P( odd number) = number of odd numbers/ total
number of odd numbers = 3
total = 7
P( odd number) = 3/7
We keep the tile so that there are only 6 tiles left
P (20) = number of 20/ total
= 1/6
We multiply the probabilities together
P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14
Answer:
A. 2
Step-by-step explanation:
Count the steps to get to the both points.
From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.
Rise ÷ Run = 4 ÷ 2 = 2
