A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
Answer:
The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Step-by-step explanation:
Given : Equation 3x − 7 = 4 + 6 + 4x
We have to find the number of solutions of the given equation.
Consider the given equation 3x − 7 = 4 + 6 + 4x
Simplify, we have,
3x − 7 = 10 + 4x
Now subtract 3x both side, we hvae,
-7 = 10 + 4x - 3x
Simplify, we have,
- 7 = 10 + x
Subtract 10 both side, we have,
-7 - 10 = x
x = - 17
Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Answer:
12
Step-by-step explanation
so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.
then i multiplied to 4 x 3 to get the missing side length which equals 12
Answer:
<h2><em>55.112</em></h2>
Step-by-step explanation:
This is correct all you do is add them up like this:
30.27
1.9
+22.952
________
55.112
Answer:
2713
Step-by-step explanation:
The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi
The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi
Cylinder - Sphere = Shaded Volume
1152pi - 288pi = 864pi
Substitute 3.14 for pi, and you get
864(3.14) = 2712.96, which rounds to 2713
