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:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
Answer:
19 hours
Step-by-step explanation:
You have 279. First, devide the 279 by 9(dollar amount).
279/9 = 31
So combined they work 31 hours. Subtract 7 from this, since we know Katya worked 7 extra hours. Youll now have 24. (31-7 = 24)
Next, divide this number in half, which will get you what they both worked before Katya worked an extra 7 hours.
24/2 = 12.
Now that we know they both worked 12 hours, we can just add back the 7 hours Katya worked.
12+7 = 19.
So the answer to how many hours katya worked will be:
<u>19 hours</u>
16% would be the correct answer