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3 years ago

9 60° A) x = 18, y=9V6 B) x=9V3, y=9V3 C) x = 18, y=9V3 D) x =9V3, y=9V6

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Answer:

C. x = 18, y = 9 $\sqrt{3}$

Step-by-step explanation:

In a 30-60-90 triangle,

longer leg = $\sqrt{3}$ (shorter leg)

hypontenuse = 2(shorter leg)

In your case, the shorter leg = 9

therefore, y = 9 $\sqrt{3}$ and x = 2(9) = 18

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Lines a and b are parallel.

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I have added a screenshot with the complete question along with a diagram representing the scenario.

Answer:
s = 22°

Explanation:
1- getting the top right angle of line B:
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
Top right angle of line B = 158°

2- getting the value of s:
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
s = 22°

Hope this helps :)

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Step-by-step explanation:

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Hey!

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Answer: Yes 3/6 is rational!

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Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

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Hope This Helped! Good Luck!

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