Answer:
Korea = 15
Italy = 16
France = 17
Step-by-step explanation:
Let :
Korea = x
Italy = x + 1
France = x + 2
(since the values are consecutive)
x + x + 1 + x + 2 = 48
3x + 3 = 48
3x = 48 - 3
3x = 45
x = 45 / 3
x = 15
Korea = x = 15
Italy = x + 1 = 16
France = x + 2 = 17
The exterior angle of a triangle is equal to the sum of the other 2 oposite interior angles
therfor
95=4x-8+3x-18
95=7x-24
add 24 both sides
119=7x
divide both sides by 7
17=x
sub back
4x-8
4(17)-8
68-8
60=∠F
3x-16
3(17)-16
51-16
35=∠G
Answer: Choice C) AA similarity
------------------------------------------------------------------------------
------------------------------------------------------------------------------
We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
the 10 ounce drink is a better deal. it costs less per ounce.
Answer:
D: 8,100π in²
Step-by-step explanation:
The formula for area of a circle is
A = πr²
The radius is squared, so if the radius or a new circle is 6 times larger (multiplied by 6), the difference in area will be 36 times greater. So the area is
225π(36) = 8,100π