The segment joining the midpoints of sides pq and pr (the midsegment) in traingle pqr has length 8x^12x+36. if the length of qr is 4x^2+60x+120, find all possible measures of the midsegment

The possible measures of the midsegment are 32 units and 212 units.

Step-by-step explanation:

Given:

A triangle PQR with the midsegment made by sides PQ and PR has length equal to and the base length QR opposite to the midsegment is .

From midsegment theorem, we know that, the midsegment is a line parallel to the base opposite to it and half the length of the base length.

Therefore, Midsegment = Base length QR

Now, midsegment can be calculated using the values of 'x'.

First, plug in -1 for 'x'. This gives,

Now, plug in 4 for 'x'. This gives,

Therefore, the possible measures of the midsegment are 32 units and 212 units

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)