The measure of one angle of a triangle is three times the measure of a second angle. the measure of the third angle is 12 less than the sum of the other two. what are the measures of the 3 angles PLEAS HELP<333

24, 72, and 84

Step-by-step explanation:

Let the first, second, and third angles be A, B, and C, respectively.

So, first of all, since the figure is a triangle, the three angles must total 180. Thus:

Now, we are told that the measure of one angle (let's use A) is 3 times the measure of a second angle (B). So:

And the measure of the third angle (C) is 12 less than the sum of the other two (A&B). Therefore:

For this equation substitute A for 3B:

Combine like terms:

So we have the following equations thus far:

So, substitute A and C in for the first equation:

Combine like terms:

Add 12 to both sides:

Divide by 8:

So, the second angle B is 24 degrees.

The first angle A is three times B. Thus, A is 3(24)=72 degrees.

And C is 12 less than the sum of them. Thus:

So, our angles are:

24, 72, and 84

And we are done :)

Edit: Typo

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6