On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). everything to the right of the line is shaded. the solutions to the inequality y ≤ 2x − 4 are shaded on the graph. which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

(3,2) is a solution to the inequality.

Step-by-step explanation:

The inequality is given by

We can find the solution by trial and error method where we substitute the value of x and y and check whether it satisfies the inequality.

Putting and , we get

which is not possible.

Hence (-1,1) is not a solution.

Putting and , we get

which is impossible.So (1,-1) is not a solution

Putting and , we get

which is possible and hence (3,2) is a solution.

Putting and we get

which is impossible and (2,3) is not a solution.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation: