Answer: 79 degrees
Step-by-step explanation:
4x+1 + 3x+4 = 180
7x + 5 = 180
7x = 175
x = 175:7 = 25
m8 = 3x + 4 = 3*25 + 4 = 79
For this case we have:
By properties of the radicals 
So:
.
Now, for power properties we have:

Thus, 
So:
in its radical form
Answer:
in its simplest form.
in its radical form
The slope formula is is rise over run or y2-y1/x2-x1
If you plug in those numbers you will get
(-1)-(-4)
———
1-(-2)
Simplify it and you get
3
— or 1
3
So the slope is 1
Answer:
The graph is attached Below and the plotting is given below.
Step-by-step explanation:
Given:
-9x + 6y = 18
Solution:
To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.
For point A
Put x = -4 in the given equation we get
-9×-4 + 6y = 18
6y = 18-36
∴ 
∴ Point A ≡ ( -4, -3 ).
For point B
Put x = -2 in the given equation we get
-9×-2 + 6y = 18
6y = 18 - 18
6y = 0
∴ 
∴ Point B ≡ ( -2, 0 ).
For point C
Put x = 0 in the given equation we get
-9×0 + 6y = 18
6y = 18
∴ 
∴ Point C ≡ ( 0, 3 ).
Now we have Point A ,B and C join it and you will have Line.
Answer:
Step-by-step explanation:
Supplementary angles add up to 180
∠1 + 50 = 180
∠1 = 180 - 50
∠1 = 130
∠3 +50 = 180 {Supplementary}
∠3 = 180 - 50
∠3 =130
⇒∠1 = ∠3 = 130