Answer:
Step-by-step explanation:
Hope this helps :)
It's a complementary angle, so just solve for x and subtract the CBD from 90,
First, we have to solve for x.
2x + 14 + x + 7 = 90
Combine like terms
3x + 21 = 90
Balance, subtract 21 from each side.
3x = 69
Divide 3 from each side
x = 23.
So know that we know x is 23, we can go about it 2 ways, subtracting the other angle with 90 or just substituting the variable, I'd just substitute the variable for it so just do 23 + 7. That equals 30, angle ABC = 30.
perpendicular means negative reciprocal so it would be -1/3
Solution:
Let me define pyramid first.A pyramid is a Polyhedron , whose base can be any polygon and it's faces are triangular which meet at a point called vertex.
Volume of Pyramid = 
Side of base which is an equilateral triangle= 4 cm
Area of whole pyramid = 12 square cm
Area of Equilateral triangle having side 4 cm=
cm²
So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²
Area of triangle = 
12 - 4 √3= 
Height =
Height=(6-2√3) cm
Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid
=4√3 × (6-2√3) cm³
=(24 √3 -24)
= 24 (1.732-1)
=24 × 0.732
=17.568 cm³
Answer:
4.2%
Step-by-step explanation:
The horizontal distance, x (Run) = 22 feets
Rise, vertical distance, y = 11 inches
The slope is the ratio of the vertical to the horizontal distance, Rise to Run
Slope = Rise / Run
Converting to the same unit ;
Foot to inches
1 foot = 12 inches
Hence, x = 22 feets = (12 * 22) = 264 inches
Slope = Rise / Run = 11 / 264 = 0.04167
Slope = 0.04167 * 100% = 4.167%
