Answer:
x = 5
Step-by-step explanation:
5(x + 10) + 2x = 13 + 3(5x - 1)
5x + 50 + 2x = 13 + 15x - 3
7x + 50 = 10 + 15x
50 - 10 = 15x - 7x
40 = 8x
40/8 = x
5 = x
Answer:
64
Step-by-step explanation:
y = x + 4
y - x = 4
4^3 = 64
Answer:
y = 4x - 9
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope, b is the y-intercept.
The slope is 4.
y = 4x + b
The y-intercept is -9 because it passes through (0, -9).
y = 4x - 9
Answer:
the state or fact of being similar.
Step-by-step explanation:
Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
is a transversal.
We have to prove and are supplementary
Proof:
1.Given that is a transversal.
We know that
<u>Reason:Corresponding angles theorem</u>
Therefore,
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of <em>supplementary angles</em>
Now, we can substitute
Then, we get
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary