To find the GCF:
-- List the factors of the first number.
-- List the factors of the second number.
-- Make a short list of the factors that show up for BOTH numbers.
-- Find the biggest number on the short list.
Factors of the first number (99): <u>1</u>, 3, 9, <u>11</u>, 33, 99 .
Factors of the second number (121): <u>1</u>, <u>11</u>, 121 .
Short list (factors that show up for both numbers): 1, 11
Biggest number on the short list: <em>11</em>
Answer:x=1.2
Step-by-step explanation:
3x+2.5=6.1
3x=6.1-2.5
3x=3.6
x=1.2
Answer:
That is a parallelogram so that opposite angles are equal.
10x -27 = 2x + 29
x = 7
and therefore those angles equal 43 degrees each
It is a parallelogram, so
angle V + W +X + Z = 360
we know that angle Y + angle W = 2 * 43 = 86 degrees
angle V + angle X = 360 -86 degrees
angle V + angle X = 274 degrees
angle V = 274 / 2 = 137 degrees
Step-by-step explanation:
Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) = 
tan (∠s) = 
Set them equal to each other to get:
= 
Solve:

Part B:
Using tan (∠s) = 
We get:
meters
Hope that helps!
Answer:
$65m + 125 = 1165
Step-by-step explanation: