Answer:
<h2><DEF = 40</h2><h2><EBF = <EDF = 56</h2><h2><DCF = <DEF =40</h2><h2><CAB = 84</h2>
Step-by-step explanation:
In triangle DEF, we have:
<u>Given</u>:
<EDF=56
<EFD=84
So, <DEF =180 - 56 - 84 =40 (sum of triangle angles is 180)
____________
DE is a midsegment of triangle ACB
( since CD=DA(given)=>D is midpoint of [CD]
and BE = EA => E midpoint of [BA] )
According to midsegment Theorem,
(DE) // (CB) "//"means parallel
and DE = CB/2 = FB =CF
___________
DEBF is a parm /parallelogram.
<u>Proof</u>: (DE) // (FB) ( (DE) // (CB))
AND DE = FB
Then, <EBF = <EDF = 56
___________
DEFC is parm.
<u>Proof</u>: (DE) // (CF) ((DE) // (CB))
And DE = CF
Therefore, <DCF = <DEF =40
___________
In triangle ACB, we have:
<CAB =180 - <ACB - <ABC =180 - 40 - 56 =84(sum of triangle angles is 180)

Because logarithms were a lot less time-consuming than other methods of finding roots. They were also more accurate in the sense that it was harder to make a mistake.
Answer:
120
Step-by-step explanation:
The absolute value is 120. Think about it on a number line, the absolute value is the amount of spaces that -120 is away from 0. Therefore, the amount of spaces -120 is from 0, is 120.
Answer:
Step-by-step explanation:
I am going with A......12x + 7y....x = # of adult and y = # of children.....adults cost 12 and children cost 7 <====
B doesn't make much sense....u could say x was for girls and y for boys...but u already know how many there are....so I am not sure what the x and y could stand for.
C does't make much sense either....x would have to be red marbles and y would have to be green marbles...but just like B, u already know how many there are....so not sure what x and y could stand for
D. wrong....because the box containing x 7 oz packages and y 12 oz packages.....12x + 7y....for this one to be correct, it would have to have x 12 oz packages and y 7 oz packages