Answer:
See below ↓
Step-by-step explanation:
14.
- Between two lines m ║ n, the ∦ cuts through them forming two angles
- As it forms a line, the sum of the angles is 180°
- 3x + 47 + x + 7 = 180
- 4x + 54 = 180
- 4x = 126
- x = 126/4 = 63/2 = 31.5
15.
- Alternate exterior angles on a transversal are equal
- 5x = 2x + 78
- 3x = 78
- x = 26
Answer:
x = 10
Step-by-step explanation:
Solve for x:
-8 (8 - x) = (4 (x + 10))/5
Multiply both sides by 5:
-8×5 (8 - x) = (5×4 (x + 10))/5
(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):
-8×5 (8 - x) = 4 (x + 10)
5 (-8) = -40:
-40 (8 - x) = 4 (x + 10)
Expand out terms of the left hand side:
40 x - 320 = 4 (x + 10)
Expand out terms of the right hand side:
40 x - 320 = 4 x + 40
Subtract 4 x from both sides:
(40 x - 4 x) - 320 = (4 x - 4 x) + 40
40 x - 4 x = 36 x:
36 x - 320 = (4 x - 4 x) + 40
4 x - 4 x = 0:
36 x - 320 = 40
Add 320 to both sides:
36 x + (320 - 320) = 320 + 40
320 - 320 = 0:
36 x = 40 + 320
40 + 320 = 360:
36 x = 360
Divide both sides of 36 x = 360 by 36:
(36 x)/36 = 360/36
36/36 = 1:
x = 360/36
The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:
Answer: x = 10
Answer:
Slope of the line 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given points are ( 3,7) and (6,11)
Slope of the line
Slope of the line
Answer:
6 13/30 1 9/10 2 8/15 2 37/40 miles in 2 days 1/4<3/10 5/6>7/10 23/24
Step-by-step explanation:
(x+2)^2 over x+2
x^2+4 \x+2
x+2
