If T is the circumcenter of MNP, find the indicated measure:
Find MN

MN = 55

Step-by-step explanation:

Since T is the circumcenter of ∆MNP, it follows that the perpendicular bisector of side MN divides MN into two equal parts.

Therefore:

MR = RN

MR = 10x -13

RN = 17x - 41

Thus:

10x - 13 = 17x - 41

Collect like terms

10x - 17x = 13 - 41

-7x = -28

Divide both sides by -7

x = 4

MR + RN = MN

(10x - 13) + (17x - 41) = MN

Plug in the value of x

(10(4) - 13) + (17(4) - 41) = MN

(40 - 13) + (68 - 41) = MN

27 + 27 = MN

54 = MN

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour