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allsm [11]
3 years ago
13

Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
Alecsey [184]3 years ago
8 0
The sum of all interior angles in a polygon is

180(n-2), where n = sides, well, this is a QUADrilateral, so it has 4 sides, so the total is 360°.

now, let's find what angle C is first,

\bf \stackrel{A}{(2x-40)}+\stackrel{B}{(116)}+C+\stackrel{D}{(x)}=360\implies C+3x+76=360
\\\\\\
C+3x=284\implies C=284-3x

now, recall the "inscribed quadrilateral conjecture", where opposite angles are "supplementary angles", thus

\bf \stackrel{\measuredangle A}{(2x-40)}+\stackrel{\measuredangle C}{(284-3x)}=180\implies -x+244=180
\\\\\\
64=x\\\\
-------------------------------\\\\
\measuredangle A=2(64)-40
victus00 [196]3 years ago
6 0

The answer should be 88

Hope this helps and have good day


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Explain how multiplying with 6 is like multiplying with 3
marusya05 [52]
They are alike because you are just doubling the number by 2
3 0
3 years ago
Read 2 more answers
Benny was told to practice playing piano for 4/11 of an hour per day. Benny has already played 3/14 of an hour today. How many h
alekssr [168]
Solution:

4/11 = 0.36

3/14 = 0.21

He still needs to play 0.15 of an hour or 3/20 of an hour.


Given facts - Amount he has to play, and the amount he played.
Question - For how long does he need to practice to meet the required time.
Hidden question - There is nothing hidden
Operations used -  divisions (not necessary), subtractions and conversion (only if used division).
Number sentence - 4/11 - 3/14 = x
Answer - 3/10 of an hour.


Hope it helped,

Happy homework/ study/ exam!





5 0
2 years ago
two jets leave an airport at the same time in opposite directions. the first jet is traveling at 323 mph and the other at 347 mp
skelet666 [1.2K]

Remark

This may be a little confusing, but because they are travelling in opposite directions, the distances add when you want to get how far apart they are.

d1 + d2 = 1541

Equation

Let the time this happens = t

d1 = 323*t

d2 = 347*t

323*t + 347*t = 1541 Combine like terms on the left.

670t = 1541 Divide by 670

t = 1541/670

t = 2.3 hours pass before the distance of 1541 miles are between the two planes. You might need the answer to be 2 hours 18 minutes.


4 0
2 years ago
If 15x+17*2=227<br><br> what is x
sladkih [1.3K]
X will be 35 but idk the formula
8 0
3 years ago
Help!!!
nordsb [41]

Answer:

1 1/5 per person.

Step-by-step explanation:

You have to evenly divide the 6 funnel cakes among 5 people, so the equation you have to use is division.

  5/6

= 1 1/5

6 0
2 years ago
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