In ∆abc, ac = 15 centimeters, m∠b = 68°, and m∠c = 24°. what is bc to two decimal places?

In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?

we are given two angles and one side (which is not between the angles)

we find the angle m A by using 'angles of a triangle add to 180°':

m A = 180 - (m B + m C)

m A = 88°

we can find side BC by using The Law of Sines:

BC/sin A = AC/sin B

BC/sin 88° = 15/ sin 68°

BC = 15*sin 88° / sin 68°

BC = 16.19 cm.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!