These two lines create vertical angles, which are congruent. That means angle z = 60 degrees. Since angle z and the angle represented by the expression 6x + 60 are supplementary (they are adjacent angles that add to equal 180 degrees), you can set up the following equation to find x:
6x + 60 + 60 = 180
6x + 120 = 180
6x = 60
x = 10
Answers:
x = 10
z = 60
Answer:
row 1
5
4
-9
10
23
2
-19
18
-13
row 2
7
10
25
31
42
-2
23
11
23
row 3
-3
15
-11
37
-7
3
35
3
0
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
Volume of a triangular prism is: 
We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.
The volume of the prism should be 240 square meters.
Solve for m:C = 1/3 π d^2 m
C = 1/3 d^2 m π is equivalent to 1/3 d^2 m π = C:1/3 π d^2 m = C
Divide both sides by (π d^2)/3:Answer: m = (3 C)/(π d^2)
Answer:
is one to one mapping, it is not onto mapping
Step-by-step explanation:
f₁(x) is one to one mapping
Let 
f₁(x) = f₁(y):
x₁³ = y₁³
f₁(x) is not onto mapping
Example: If f₁(x) = 7,
x₁³ = 7
![x_{1} = \sqrt[3]{7}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Csqrt%5B3%5D%7B7%7D)
x₁ is not an element of Z
is one to one mapping, it is not onto mapping
