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Travka [436]
3 years ago
15

Ricole wrote a number that is the same distance from 0 to 15 on a number line but in a opposite direction . What number did rico

le write
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 12 14 15!

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Find the values of x, y, and z. The diagram is not to scale.
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we know that

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see the attached figure with letters to better understand the problem

Step 1

<u>Find the measure of the angle x</u>

In the triangle ABC

63\°+36\°+x\°=180\°

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x=81\°

therefore

<u>the answer Part a)  is</u>

the measure of angle x is 81\°

Step 2

<u>Find the measure of the angle z</u>

we know that

x+z=180\° --------> by supplementary angles

substitute the value of x

81\°+z=180\°

z=180\°-81\°

z=99\°

therefore

<u>the answer Part b)  is</u>

the measure of angle z is 99\°

Step 3

<u>Find the measure of the angle y</u>

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

13\°+99\°+y\°=180\°

112\°+y\°=180\°

y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

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Answer:

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Now, solving for circumference of the tabletop.

Remember, circumference of circle= 2\pi r

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⇒ Circumference of circular tabletop= 100.48 in ≅ 100\ in

∴ Circumference of circular tabletop is 100 in.

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