Answer: It is 45° because 180° (degree of the whole triangle) divided by the two angles is 45.
oh cool i helped
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 3 ]
f(b) = f(3) = - 8 ← from graph point (3, - 8 )
f(a) = f(1) = 0 ← from graph point (1, 0 )
Then
average rate of change =
=
= - 4 → C
the number of athletes who do not play basketball is 26.
Step-by-step explanation:
<u>DATA:</u>
Athletes surveyed = 107 athletes
<u>Athletes who play basketball</u>
Athletes who play baseball = 48 athletes
Athletes who don't play baseball = 33 athletes
Athletes who play basketball = athletes who play baseball + athletes who don't play baseball
Athletes who play basketball = 48 + 33
Athletes who play basketball = 81
<u>EQUATION:</u>
Total athletes = Athletes who play basketball + Athletes who don't play basketball
107 = 81 + x
x = 107 - 81
x = 26
Therefore, the number of athletes who do not play basketball is 26.
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<h3>
Answer: 4 minutes</h3>
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Explanation:
Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.
Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.
Add the two unit rates: 6+12 = 18
If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.
Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.
18x = 72
x = 72/18
x = 4
It will take 4 minutes if both taps are running at the same time.
Answer:
-6
Step-by-step explanation:
7x + 9 = 5x -3
-5x -5x
2x+9=-3
-9 -9
2x=-12
divide by 2
x = -6