Step-by-step explanation:
2/3 lost is 1/3 kept
2/3 of the 1/3 kept is 2/9 lost
1/3 x - 2/9 x = 4
3/9 x - 2/9 x = 4
1/9 x = 4
x = 36
First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.
Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
Parallel lines have the exact same slope ( or else they would eventually run into each other). So the answer is -1/2 is the slope.
Answer:
y=-30x+450
if she reads 30 pages every day it will take 15 days
