What type of triangle is shown?

A. Equiangular triangle

B. Acute triangle

C. Right triangle

D. Obtuse triangle

I can safely eliminate option A. and B. I just need help deciding if it is a right triangle, or obtuse.

C

Step-by-step explanation:

4x-10+2x+15+x=180

7x+5=180

7x=175

x=25

So 2x+15=65 and 4x-10=90.

90+65+25=180

So your triangle is a right triangle.

C

Step-by-step explanation:

A triangle is 180 degrees. This means all the sides added up will be 180 degrees, so what you need to do is turn it into an algebra problem.

x + 4x + 15 + 2x - 10 = 180

Simplify.

7x + 5 = 180

Subtract 5 from both sides.

7x = 175

Divide by 7.

x = 25

4(25) - 10 = 20

This is a right angle, which means that C is the correct answer.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).