the marketing team at a new electronics company is designing a logo that contains a circle and a triangle. on one design, the triangle's side lengths are 4 in., 7.5 in., and 8.5 in. is the triangle a right triangle?

select your answer and complete the explanation.

, it a right triangle.

42 + 7.52 = , 8.52 = 72.25, and 72.25.

It is a right triangle.  I'm not sure how else the question is asked to be completed.

Step-by-step explanation:

You can use the Pythagorean theorem to check if a triangle is a right triangle.

8.5 is the biggest number so if it is a right triangle it would be the hypotenuse.  So that is how we'll set it up.

a^2 + b^2 = c^2

4^2 + 7.5^2 = 8.5^2

16 + 56.25 = 72.5

72.25 = 72.25

Since it works out then the triangle is a right triangle.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

ratio is 2 : 9

the answer is three

13.5 : 3