Line rs bisects pq at point r. find rq if pq=14 centimeters.

Since RS bisects PQ at point R, then R is the midpoint of PQ.

PQ = 14 given

PR = RQ definition of midpoint

PR + RQ = PQ segment addition postulate

RQ + RQ = PQ substituted PR with RQ

2RQ = PQ simplified (added like terms)

2RQ = 14 substituted PQ with 14

RQ = 7 divided both sides by 2

7 cm

answer: f = 32.2m

step-by-step explanation: that is the answer

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is