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Ber [7]
3 years ago
12

If the measure of angle 3=2x and the measure of angle 2=3x, what is the measure of angle 1?

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer: 126°

Step-by-step explanation: Since every triangle has 180 interior degrees, we can say 2x + 3x + 90° = 180°. Subtract 90° from each side and we get

2x + 3x = 90°

5x = 90°

x = 18°

Plug in x for Angle 2, giving us Angle 2 = 54°

Angle 1 and angle 2 must add up to 180°

Subtract 54° from 180° and we get 126°

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devlian [24]

Answer:

No because upon subtracting x on both sides you obtain a false equation of 4=8.

The problem:

What are x values that satisfy:

x+4=x+8?

Step-by-step explanation:

No number can be substituted into x+4=x+8 to make it true.

There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.

Also if you subtract x on both sides you obtain the equation 4=8.

4=8 is not true so x+4=x+8 is never true for any x.

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24 is 31.25% of what number? Prove your answer in the show your workbox.
FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

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100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

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