Segment BD and segment BC are secants of circle Q
BD = 457 units
BF = 254 units
BE = 160 units
Drag expressions to the table to show how you can set up and solve a proportion to
find the length of segment BC
288 units
ABFC - AEBD
ABDE-ABCF
725 units
Statement
Explanation
BDE ZBCF
Angles that intercept the same arcare congruent.
BEZB
Roffedive Property
DRAG AND DROP
Angle-Angle Similarity
DRAG AND DROP
TERE
Corresponding sides of similar triangles are proportional
DEEP
This value makes the proportion true

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