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°

she will most likely have 33  

step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1