This theorem says that the exterior angle is equal to the sum of its remote interior angles. In other words, 140 = 2x + x + 2. 140 = 3x + 2 and 138 = 3x. Therefore, x = 46. Multiply it by 2 to get angle B is 92 degrees.
So you’ll take $11.50-$4.75=$6.75 then you’ll divide this answer by 3 6.75/3=2.25 so it was $2.25 per movie to rent
Turn both fractions into mixed fractions resulting in 75/2 and 5/2. Then turn them into decimals. 75/2= 37.5 and 5/2= 2.5. Then divide each other 37.5 / 2.5= 15. 15 is your answer. Hope it helped :)
<h3><u>Given</u>:-</h3>
Side(a) of the cube = 
.
<h3><u>To Find</u>:-</h3>
Surface Area of the cube with side 
<h3><u>Formula Used</u>:-</h3>
Surface area of cube = 
<h3><u>Solution</u>:-</h3>
Surface area of cube = (putting the value of a from the above given)
Therefore, surface area of the given square =
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Hope it helps you:)
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
