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mart [117]
2 years ago
8

Find the values of x and y. then find the measures of the interior angles of the polygon​

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
4 0

The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.

<h3>What is a cyclic quadrilateral?</h3>

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

We know the sum of the opposite angle of the cyclic quadrilateral is 180°.

Then we have

14x + 9y = 180 ...1

4x + 24y = 180 ...2

By solving the equations 1 and 2, we have

x = 9 and y = 6

Then the measure of the angle will be

∠A = 9y = 9 × 6 = 54°

∠B = 4x = 4 × 9 = 36°

∠C = 14x = 14 × 9 = 126°

∠D = 24y = 24 × 6 = 144°

More about the cyclic quadrilateral link is given below.

brainly.com/question/15061291

#SPJ1

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Why isn't 9 divisible by 5622​
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4 years ago
In a line of students ,Jenna is number 8.The teacher says the rule for a number pattern is add4.The first term 7.What number sho
balandron [24]
1. You have that the rule for a number pattern is add 4 and the <span>first term is 7.

 2. Let's call "n" to the number in the line where each student is. Then, you can express this as below:

 4n+7

 3. So, you have:

 Student N°1=4(1)+7=11
</span> Student N°2=4(2)+7=15
 Student N°3=4(3)+7=19
 Student N°4=4(4)+7=23
 Student N°5=4(5)+7=27
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4 0
3 years ago
Solve this linear system 28x + 44y = 964.40 21x + 33y = 723.30
Sladkaya [172]

28x + 44y = 964.40

21x + 33y = 723.30

Let's multiply the first equation by 4 and the second by -4

84x + 176y = 3857.6

-84x - 132y = -2893.2

Add the equations together.

0 + 44y = 964.4

Simplify

44y = 964.4

Divide both sides by 44

y = 964.4/44

Since we have the value of y, let's plug 964.4/44 into y for the first equation.

28x + 44(964.4/44) = 964.40

Simplify the left side

28x + 964.4 = 964.4

Subtract 964.4 from both sides

28x = 0

Divide both sides by 0

x = 0

In conclusion,

y = 964.4/44

x = 0

3 0
3 years ago
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