The <span>Pythagorean Theorem tells us that

where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:

We can then substitute known values, and solve:
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The answer would be to divide 1030 by 50 and you would get 21 coaches not 20 because 50x20=1000 and there are 30 remainder. Therefor, you would need that extra coach with some seats left to spare. so your answer is 21 coaches
Step-by-step explanation:
There are a total of 4 + 1 + 9 + 6 = 20 cookies. So the probabilities of each type for a random cookie are:
P(oatmeal raisin) = 4/20 = 1/5
P(sugar) = 1/20
P(chocolate chip) = 9/20
P(peanut butter) = 6/20 = 3/10
Answer:
For the given expression, x = 12.
Step-by-step explanation:
Here, in the given expression:
6 over x equals 4 over 8.
Now, 6 over x = 
and 4 over 8 = 
So, here 
⇒ x = 12
Hence, for the given expression, x = 12.
Answer:
m∠A = 50°
m∠E = 50°
Step-by-step explanation:
7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.
7x - 17 + 2x + 8 = 180
9x - 9 = 180
9x = 189
x = 21
∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.
m∠A + 7x - 17 = 180
m∠A + 7(21) - 17 = 180
m∠A + 147 - 17 = 180
m∠A + 130 = 180
m∠A = 50
m∠E = 2x + 8
m∠E = 2(21) + 8
m∠E = 42 + 8
m∠E = 50