Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Answer:
y = -2x + 6
Step-by-step explanation:
Slope = (-4 - 8)/(5 + 1)
= -12/6
= -2
Equation
y - 8 = -2(x + 1)
y - 8 = -2x - 2
y = -2x + 6 <-----------slope-intercept form
Answer:
proof is below
Step-by-step explanation:
Answer:
25^9 + 5^17=
=2^18 + 5^17
=5^17(5+1)
=5^17×6
=5^16×30 is divisible by 30
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
660 miles = 1 hour
1320 miles = 2 hours
1980 miles = 3 hours
2640 miles = 4 hours
There are only 330 miles left and that is half of 660mph so therefore it would only take half an hour for these last 330 miles.
So we know that it will be taking 4 hours, you would then add the 30 minutes which gives you 4 hours and 30 minutes.
Hope this helps!
Answer:
Step-by-step explanation:
Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)
This gives us the fraction: 
We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: 
Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:
which can be simplified in exponent form as: 
, now all we have to do is divide the 24 by the 3, to get 8
This gives us the answer:
