Solve for X. the Polygons in each pair are similar.

x = 7

Step-by-step explanation:

If the triangles are similar, the side length ratios have to be the same

49                 63

=

42                  8x-2

Using cross products

49 ( 8x-2) =42 (63)

Divide each side by 49

8x-2  = 42*63/49

8x -2 = 54

Add 2 to each side

8x = 56

Divide b 8

8x/8 = 56/8

x = 7

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: 10 turtles

step-by-step explanation: as turtles have four legs so 4.10=40 therefore birds are 4 which sue counted