Hello, I believe the answer you are looking for is:
- When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Answer:
The distance between the points is 5 units
Step-by-step explanation:
I used distance formula for the question using two points
I
Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)
The area of the trapezoid is 43.5 inches²
Step-by-step explanation:
The formula of the area of a trapezoid is
, where:
and
are the two parallel bases- h is its height
∵
=
feet
∵
= 14 inches
∵ h = 3 inches
- Change the length of
from feet to inches
∵ 1 foot = 12 inches
∴
feet =
× 12 = 15 inches
∴
= 15 inches
Substitute the values of
,
and h in the
formula of the area
∴ 
∴ A = 43.5 inches²
The area of the trapezoid is 43.5 inches²
Learn more:
You can learn more about the area of figures in brainly.com/question/12919591
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