-3d/(d^2-2d-8) + 3/(d-4) = -2/(d+2)
factor
-3d/(d-4) (d+2) +3/(d-4) = -2/(d+2)
multiply by (d-4)(d+2) on each side
(d-4)(d+2)[-3d/(d-4) (d+2) +3/(d-4)] = (-2/(d+2))*(d-4)(d+2)
distribute
-3d +3(d+2) = -2(d-4)
distribute
-3d +3d+6 = -2d+8
combine like terms
6 = -2d+8
subtract 8 to each side
-2 = -2d
divide by -2
1 =d
Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
Answer:
Step-by-step explanation:
Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.
Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.
Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each
Angle 2 is opposite to Angle 4, so it's equal to 143.
Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143
Answer:
There are 10 slices in one pizza.
Step-by-step explanation:
30 ÷ 3 = 10
m∠3 = 180 - m∠8 = 180 - 123 = 57
m∠1 = m∠3 = 57°