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Juliette [100K]
3 years ago
14

17:3 and 15:60 Equivalent ratios

Mathematics
1 answer:
inessss [21]3 years ago
5 0

Answer:

Step-by-step explanation:

17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.

15:60 = 1:4

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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

The sum of the internal angles in the triangle must be 180 degrees

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\°

solve for x

99\°+x\°=180\°

x\°=180\°-99\°

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>

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Step 3

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

In the triangle ACD

13\°+z\°+y\°=180\°

solve for y

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y\°=180\°-112\°

y\°=68\°

therefore

<u>the answer Part c)  is</u>

the measure of angle y is 68\°

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Simple...

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Step-by-step explanation:

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The think it will be a and b.
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