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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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If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
Vesna [10]

Answer:

Value of 8x -5y + 7 is 4.

Step-by-step explanation:

Given that:

8x-5y = -3     Eqn 1

It is a true equation.

Now we have to find the value of the given expression

8x -5y + 7

Putting value of 8x-5y from Eqn 1 in the given expression

8x - 5y + 7

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4

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8x - 5y + 7 = 4

Hence,

Value of 8x -5y + 7 is 4.

7 0
3 years ago
a garage floor measures 150 feet by 120 feet. a scale drawing of the floor on grid paper uses a scale of one unit : 15 feet. wha
Nadya [2.5K]
1 unit = 15 feet

150 feet / 1 unit  = 150 / 15 = 10 units

120 feet / 1 unit = 120 / 15 = 8 units

The dimensions of the drawing equates :

10 units by 8 units .

hope this helps!

4 0
3 years ago
Justin and his friend Dan went to the movie. If they each bought popcorn for $4.25 and a soda for $2.25 what was their total bil
omeli [17]
2(4.25 + 2.25) = 2(6.50) = 13...this is the cost without the tax

13 + 0.05(13) = 13 + 0.65 = 13.65 <=== total with the sales tax added
5 0
3 years ago
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the
Rufina [12.5K]

Answer:

66%, 69%, 72%

63%, 65%, 67%

67%, 72%, 77%

Step-by-step explanation:

it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle

so anyways for the fourth fifthe and sixth visit itll be an increasing sensitivity

8 0
3 years ago
Read 2 more answers
For a rectangle with length of
AveGali [126]

Answer:

2x+5

Step-by-step explanation:

Formula for the perimeter of a reactangle= 2(l+b)

So,

2(l+b) = 10x+18

2(3x+4 + b) = 10x+18

Rearrange and solve

3x+4+b = 5x+9

b = 5x+9 - 3x - 4

b = 2x+5

Thus the measurement of the width = 2x+5

Hope this helps

6 0
2 years ago
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