Answer:
Step-by-step explanation:
Exterior angle of a triangle is equal to the sum of opposite interior angles
13b - 48 = (9b - 47) + (b + 44)
Add the like terms
13b - 48 = 10b - 3
Add 48 to both the sides
13b - 48 +48 = 10b - 3 +48
13b = 10b + 45
Subtract 10b from both sides
13b - 10b = 10b + 45 - 10b
3b = 45
Divide both sides by 3
3b/3 = 45/3
b = 15
There are 16 ounces in a pound, so to find the amount of ounces in a certain amount of pounds, all we have to do is multiply the amount of pounds by the amount of ounces there are in one pound.
9 * 16 = 144
There are 144 ounces in 9 pounds.
Hope that helped! =)
Answer:
d=1
Step-by-step explanation:
- -d-3=8+d-10-3d
- simplify 8+d-10 -3d
- -d-3=-2d-2
- d-3=-2
- d=1
The least common mutiple is 10 for all of them
Answer:
So the slope in this case is m = -2. Using point (0, 7) and m =-2 with point-slope we have y - 7 = -2(x-0) => y = -2x +7. Then we realize (0,7) actually is the y-intercept. We could have gone directly to y = -2x + 7. If we use (3,1) and m = -2 we get y-1=-2(x-3) => y -1 = -2x+6 => y = -2x+7. Another way to find y-intercept is to use y = mx +b directly. If we use the point (3,1) that means when x=3, y = 1. So 1=-2(3) + b => 1=-6+b => b = 7. So, y = -2x+7. Same result in all cases. I like to use point-slope. Others prefer to use y = mx+b, substituting for x, y, and m to solve for b.
Step-by-step explanation: