Classify the following triangle. check all that apply.

D. Acute

F. Scalene

Step-by-step explanation:

We have been given a diagram of a triangle. We are asked to classify our given triangle.

Let us check our given choices one by one.

A. Right

We know that a triangle is known as right triangle, when it has a 90 degree angle. Since none of the given angles measure 90 degree, therefore, option A is not a correct choice.

B. Obtuse

We know that an obtuse angle has measure greater than 90 degrees and less than 180 degrees. Since all angles measure less than 90 degree, therefore, our given triangle is not obtuse and option B is incorrect.

C. Equilateral

An equilateral triangle has all angles with 60 degrees. Since each angle of triangle is different, therefore, our triangle is not equilateral and option C is incorrect.

D. Acute

We know that an acute angle has measure less than 90 degrees. Since all angles measure less than 90 degree, therefore, our given triangle is an acute triangle and option D is correct choice.

E. Isosceles

An isosceles triangle has two angles with equal degrees. Since each angle of triangle is different, therefore, our triangle is not isosceles and option E is incorrect.

F. Scalene

A scalene triangle's all sides and angles have different measure. Since all angles and sides of given triangle are different, therefore, our triangle is scalene and option F is correct.

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).