Two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other. If ΔBAT ≅ ΔMAN, which line segment must be congruent to TB? Why?
A) AT because the triangles are isosceles.
B) NM because the triangles are isosceles.
C) AT because corresponding parts of congruent triangles are congruent.
D) NM because corresponding parts of congruent triangles are congruent.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

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