Answer:
36
Step-by-step explanation:
2x is an exterior angle
Exterior angles = the sum of the two remote (unconnected - non supplementary interior angles).
Put symbolically
<LEG = <EGF + <EFG
<EFG = 180 - 4x In this case you need to find the supplemtnt
<LEG = x + 180 - 4x
2x = 180 - 3x Add 3x to both sides
5x = 180 Divide by 5
x = 36
Answer : 4 & 5
Explanation :
4x-5/8 >-10 + 3x |multiply by 8
4x-5> -80 + 24x. | minus 4x , add 80
-5+80 > 24x -4x
75> 20x. |divide by 20
3.75 > x
So x is greater than 3.75 therefore 4 and 5 are the answers
Answer:
5.6
Step-by-step explanation:
Given :
Quality rating for 8 movies :
5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2
Let rating for the 9th movie = x
Average quality rating olfor the 9 movies = 6.4
To find x :
Sum of all ratings / number of ratings = 6.4
(5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4
(52 + x) / 9 = 6.4
52 + x = 57.6
x = 57.6 - 52
x = 5.6
Answer:
He bought 2 fancy shirts and 5 plain shirts.
Step-by-step explanation:
28+28+15+15+15+15+15=131
Answer:
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
The formula of the volume of a sphere is given by
, where r is the radius of the sphere.
to find the volume of the sphere, we must find 
We know that the formula of a cylinder of height h and radius r is given by

So 
We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

From here, we know that
.
So the volume of the sphere is
.
So Amie should have multiplied 54 by 2/3.