Answer:
One pair of opposite sides are parallel and congruent
Step-by-step explanation:
As you can see, segment HE and GF are both marked as parallel and congruent
Answer:
2a^8/3
Step-by-step explanation:
I hope it's correct
Answer:
28y^3 -35y^5
Step-by-step explanation:
= 7y^3(4) -7y^3(5y^2)
= 28y^3 -35y^5
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The applicable rule of exponents is ...
(y^a)(y^b) = y^(a+b)
PART A
The geometric sequence is defined by the equation

To find the first three terms, we put n=1,2,3
When n=1,



When n=2,



When n=3



The first three terms are,

PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,



PART C
To find

We substitute n=11 into the equation of the geometric sequence.

This implies that,


Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.