!look at the right triangle abc: right triangle abc has a right angle at b. segment bd meets segment ac at a right angle. a student made the following chart to prove that ab2 + bc2 = ac2: statement justification 1. triangle abc is similar to triangle bdc 1. angle abc = angle bdc and angle bca = angle bcd 2. bc2 = ac • dc 2. bc ÷ dc = ac ÷ bc because triangle abc is similar to triangle bdc 3. triangle abc is similar to triangle abd 3. angle abc = angle adb and angle bac = angle bad 4. ab2 = ac • ad 4. ab ÷ ad = ab ÷ ac because triangle abc is similar to triangle abd 5. ab2 + bc2 = ac • ad + ac • dc = ac (ad + dc) 5. adding statement 1 and statement 2 6. ab2 + bc2 = ac2 6. ad + dc = ac which justification is incorrect? justification 2 justification 4 justification 1 justification 3

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

the barter

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

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037