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Bumek [7]
3 years ago
7

Use ΔDEF, shown below, to answer the question that follows

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
Using sine rule, 55 / sin 90 = x / sin(90 - 49)
55 / 1 = x / sin 41
x = 55 sin 41 = 36.08
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Given: ZDEF is a right angle. Using a paragraph proof, prove 41 is acute.
Slav-nsk [51]

Let G be some point on the diagonal line away from point E.

Angle DEG represents angle 1.

We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.

----------------

Extra side notes:

If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.

If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.

4 0
3 years ago
an art dealer makes a 17.5% commission on every painting sold. If a painting sold for $1500, what was the commission
Aleksandr [31]
A percentage is a number out of 100.  So, 17.5% is really 17.5/100, or 0.175.

To find 17.5% of 1500, you multiply 1500 by 0.175

1500 x 0.175 = 262.5.

The commission is $262.50.
4 0
3 years ago
REALLY EASY NEED ANSWER BY 10:00 P. M. AND WILL GIVE BRAINLEIST. PLS HURRY IF YOU HAVE TIME PLEASE ANSWER OTHER QUESTIONS PLS TH
tiny-mole [99]
5) which types have less than 10?
Stand up and suspended.
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January exceeds 55 by 1 and Feb exceeds 55 by 2. $0.25 for each excess. Total charge: $0.75
6 0
3 years ago
PLEASE HELP ASAP!!
Art [367]

Answer:

See explanation

Step-by-step explanation:

A.  P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%

P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%

P(side)=25/30=5/6=83.33333333333...%

B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.

7 0
3 years ago
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gtnhenbr [62]

Answer:

theres a 66.67%

Step-by-step explanation:

8 0
2 years ago
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