Answer:
see below
Step-by-step explanation:
Since your proof wants to show the slopes of AC and DF are equal using substitution, you want to show the ratios that define those slopes are equal. Those ratios are BC/AB and EF/DE. So, the missing step is the one saying those ratios are equal:
BC/AB = EF/DE
Hello from MrBillDoesMath!
Answer:
72
Discussion:
Total Surface area = area of pyramid base + 4 ( area of triangular face)
In our case this becomes
4*4 + 4( (1/2) (4)(7) ) =
= 16 + (2)(4)(7)
= 16 + 56
= 72
which is the first choice.
Note: the area of a triangular face was computed using (1/2) b h, which in our case is
(1/2) (4) (7)
Thank you,
MrB
Answer:
11.0
Step-by-step explanation:
Using Pythagoras' identity in the lower right triangle.
let the hypotenuse be x , then
x² = 4² + 9² = 16 + 81 = 97
Within the rectangle, use Pythagoras' identity in the lower right triangle.
let y be the dotted line , then
y² = x² + 5² = 97 + 25 = 122 ( take the square root of both sides )
y =
≈ 11.0 ( to the nearest tenth )
The dotted line is approximately 11.0 units
2.64575131106.. or you can round it but it is irrational because rational numbers either stop or repeat irrational don't
Answer:
Step-by-step explanation:
Total members in the choir = 24 + 36 = 60
a) Percentage of men = 
= 4 * 10 = 40%
b) Percentage of women = 60%
c) Number of men =24 + 10 = 34 men
Number of women = 36 + 10 = 46
Total = 34 + 46 = 80
Percentage of men =
%
Percentage of women = (100 - 42.5)% = 57.5%