Are the following figures similar?

no; the corresponding angles are not congruent
no; the corresponding sides are not proportional
yes; the corresponding angles are congruent
yes; the corresponding sides are proportional

No; the corresponding angles are not congruent

Step-by-step explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

Since obtuse angles and acute angles are not congruent, trapezoids ABCD and EHGF are not similar

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step-by-step explanatio89

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