*see attachement for diagram
Answer:
∠P = 140°; ∠S = 40°
Step-by-step explanation:
The figure given is a parallelogram.
Consecutive angles (adjacent angles) of a parallelogram are supplementary.
Therefore:
(x + 15)° + (6x - 10)° = 180°
Solve for x
x + 15 + 6x - 10 = 180
Add like terms
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25
✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)
m<P = 6x - 10
Plug in the value of x
m<P = 6(25) - 10 = 140°
✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)
m<S = x + 15 = 25 + 15 = 40°
Answer:
The answer is x = -32
Step-by-step explanation:
In order to find the value of x, e must first distribute the 6 into the parenthesis.
6(x - 7) = 8x + 22
6x - 42 = 8x + 22
Now we will add/subtract values so that all x values are on the right and all number values are on the left.
6x - 42 = 8x + 22
-42 = 2x + 22
-64 = 2x
Now to get the final answer, divide both sides by 2.
-32 = x
It would be 12% because .3 divided by 2.5 is .12 which is equivalent to 12%
Answer:
For number 2, its A. For number 1, its C.
Step-by-step explanation:
For both equations, you just set it equal to to each other because alternate interior angles are equivalent.
2) The equation would be
7x+3=6x+12
Then solve.
1) The equation would be
14x-3=95
Then solve.
I love geometry! If you have questions, just comment.