Question

12 the shaded region shown represents solutions to an inequality. which ordered pair (x, y) is a solution to this inequality? a) (0, -4) b) (0, 4) c) (-4, 0) d) (4, 0) 13 in triangle jkl, the measures of ∠k and ∠l are each 48°. what is the measure of ∠j, in degrees? (disregard the degree symbol when entering your answer.)

Explanation:

Step1: Check point (0, -4)

The point (0, -4) is not in the shaded region.

Step2: Check point (0, 4)

The point (0, 4) is not in the shaded region.

Step3: Check point (-4, 0)

The point (-4, 0) is not in the shaded region.

Step4: Check point (4, 0)

The point (4, 0) is in the shaded region.

for second - subquestion:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

Let \(\angle J=x\), \(\angle K = 48^{\circ}\), \(\angle L=48^{\circ}\). Then \(x + 48+48=180\).

Step3: Solve for \(x\)

\(x=180-(48 + 48)=180 - 96=84\).

Answer:

D. (4, 0)