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iren [92.7K]
3 years ago
8

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0
The diameter is the diagonal of the rectangle. Using the pythagorean theorem, you get the diameter being 5. The circumfrance is the diameter*(pi). So the answer is 5(pi). C
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Find the size of angle XYZ.<br>Give your answer to 1 decimal place.<br>Z<br>13 cm<br>x<br>Y<br>4 cm​
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Answer:

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I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

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7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

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Replace x with 8 in the second equation.

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Answer: x = 8, and y = 12

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Step-by-step explanation:

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