A few days ago
Anonymous

what do i do?

the sum of three consecytuve integers is 90. find the three numbers

and…

the measure of the supplement of an angle is 20 more than 3 times the measure of the original angle. Find the measures of the angles

What is the answer and please show me how you did them!

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

The first one is easy. Just take one third of 90, which is 30 and then the two numbers on each side of it.

So… 29+30+31 = 90.

2nd problem:

supplement(S) plus the angle(A) = 180

so S = 20 + 3*A

and S + A = 180

Can you solve simultaneous equations?

Replace S in the 2nd equation with the first equation and solve for A.

Ok, here’s how you solve them.

We already know that S = 20 + 3*A

We plug that into the other equation:

S + A = 180

is the same as:

(20 + 3*A) + A = 180

So: 20 + 3*A + A = 180

20 + 4*A = 180

4*A = 160

So A = 40 degrees

Therefore S = 180 – 40 = 140 degrees.

So the original angle is 40 º and the supplement is 140 º .

I hope you understand how it was solved. Practice more simultaneous equations to get good at them. They’re not hard. Just isolate one variable and plug it into the other equation. Good luck with your studies.

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A few days ago
Anonymous
29 30 31 DONT KNOW IF THATS RIGHT OR NOT AND NO CLUE ON THE TRIANGLE
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