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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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Juan has 5/8 pound of beef. He wants to make burgers using the meat. If the meat and each Burger weighs 1/8 lb how many burgers
Alex Ar [27]

Answer:

5

Step-by-step explanation:

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AlekseyPX

Answer:

Triangle 1: x = 80 degrees, acute

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Step-by-step explanation:

Triangle 1:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

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100 + x = 180\\x = 80

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Because all the angles are less than 90 degrees, this is an acute triangle.

Triangle 2:

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1 year ago
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4 0
3 years ago
Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

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Now add the 9 and 12 together.

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This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
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Maria needs to read a 1,500 page book in 10 days how many page does she has to read everyday
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