If we take both sides of the equation 
and <em>multiply either expression by 3</em>, the equality becomes
Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.
Answer:
14/15
Step-by-step explanation:
have a great day :) also this anwser is 100% correct. i tested it.
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:
arc length = radius * angle in degrees * (PI / 180)
arc length = 6 * 160 * (PI/180)
arc length = PI * 960 / 180
arc length = PI * 5 + (60/180)
arc length = (16/3) * PI
Step-by-step explanation:
Answer:
m∠DEF = 50
Step-by-step explanation:
∠DEG = ∠GEF
3y + 4 = 5y - 10
subtract 4 from both sides
3y = 5y - 14
subtract 5y from both sides
-2y = -14
divide by -2
y = 7
Add 7 into the equations:
3y + 4 + 5y - 10
3(7) + 4 + 5(7) - 10
21 + 4 + 35 - 10
25 + 25
50
