Answer:
JH = 8, GH = 12, and GJ = 10.6
Step-by-step explanation:
According to Midsegment Theorem, a segment that connects the midpoints of two sides of a triangle is half the length of the third side.
GH = ½ DE
JH = ½ DF
GJ = ½ EF
DE is 24, so GH = 12.
JH is half of DF. Since G is the midpoint of DF, DG is also half of DF. So JH = DG = 8.
GJ is half of EF. Since H is the midpoint of EF, HE is also half of EF. So GJ = HE = 10.6.
Answer:
Vota Trump
Step-by-step explanation:
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
Answer:
2m+3r-2x-2y
Step-by-step explanation:
2m+3r=2m+3r
-2×x=-2x
-2×y=-2y
answer=2m+3r-2x-2y
