Find the value of the variable and the measure of each labeled angle.

x = 25

Measure of each angle label is 42°

Step-by-step explanation:

(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:

x + 17 = 3x - 33

Solve for x. Collect like terms

17 + 33 = 3x - x

50 = 2x

Divide both sides by 2

50/2 = 2x/2

25 = x

Measure of the two angles are:

x + 17 = 25 + 17 = 42° (substitution)

3x - 33 = 3(25) - 33 = 75 - 33 = 42°

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3