The answer would be 18 because if you put 3a+6a+a=180 (the degrees of a triangle) and solve it a becomes 18
So first of all, both angles are alternate interior angles right. so they would equal the same thing. all you have to do is divide 75 by 3 to get the x which would equal 25. Hope that helps :)
Answer: 113.1in
The formula of finding the circumference is 2πr.
That being said, the radius is 18in.
Pi (π) is 3.14.
With all of that being said, we can multiply now.
2 × 3.14 × 18 = 113.09734 = 113.1
Hence 113.1 is the answer.
Answer:
Step-by-step explanation:
Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:
and cross multiply to get
4sin55 = 3.5sinx and solve for sinx:
so
sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle
x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°
Answer:
Number of nickels = 5
Number of dimes = 10
Number of quarters = 8
Step-by-step explanation:
Fernando has a total of nickels + dimes + quarters = 3.25$
Let the number of nickels = x
Then x(.05) + dimes(.10) + quarters(0.25) = 3.25------(1)
He has twice as many dimes as nickels
dimes = 2×nickels
dimes = 2x--------(2)
He has 3 more quarters than nickels
quarters = nickels +3
quarters = x +3------(3)
From equations 1, 2, and 3.
x(.05) + 2x(.10) + (x + 3)(.25) = 3.25
.05x + 0.2x + 0.25x + .75 = 3.25
5x + 20x + 25x + 75 = 325
50x = 325 - 75
50x = 250
x = 5
Therefore the number of nickels are 5
from equation 2 number of dimes are 10
and from equation 3 number of quarters are 8.
