use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your thinking

Step-by-step explanation:

to figure out the ratios we must figure out the length of hypotenuse first to do so we can consider Pythagoras theorem given by

substitute:

simplify squares:

simplify square root:

now recall that,

the ratios with respect to angle w given by

the following ratio with respect to angle X

56

step-by-step explanation:

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