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96

Step-by-step explanation:

180-84=96

84°

Step-by-step explanation:

m∠DCH = 84° (Given)

- Given

m∠FCB = 84° (Definition of Vertical Angles)

- Definition of Vertical Angles states that angles directly opposite of each other are the same measurement. In this case, the pair of opposite angles are: ∠DCH &  ∠FCB.

m∠ABE = 84° (Corresponding angles)

- Definition of Corresponding angles states that matching corners of parallel lines cut across by a Transversal are congruent. In this case, ∠FCB is corresponding to ∠ABE. m∠FCB = 84°, ∴ m∠ABE = 84°

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

answer: 193

explanation:

200-7 = 193