Look at the triangle: a right angle triangle is shown with hypotenuse equal to 17 centimeters. an acute angle of the triangle is labeled as x degrees. the side adjacent to the acute angle has length 15 centimeters and the side opposite to the acute angle has length 8 centimeters. what is the value of cos x°?

Step-by-step explanation:

Refer the attached figure

Hypotenuse = AC = 17 cm

An acute angle of the triangle is labeled as x degrees.i.e.∠ACB = x

The side adjacent to the acute angle has length 15 centimeters i.e. BC = 15 cm

The side opposite to the acute angle has length 8 centimeters.i.e. AB = 8 cm

Now we will use trigonometric ratio

So,

Hence the value of cos x° is

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