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Alla [95]
3 years ago
14

Solve 2(a +8) > 18 ο Α. α>1 o ca > 13 O Ba>5 OD. a > 15

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

A) a>1

Step-by-step explanation:

2(a +8) >18

2a +16 >18

2a>18 - 16

2a>2

a>2:2

a>1

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It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.

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Angle A: a
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Angle C: 4a-5

Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

So we have: a+5a+4a-5 = 180

We can solve that equation by combining like terms to get: 10a-5=180

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One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!

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