What is the approximate value of k? use the law of sines to find the answer. a.) 2.9 units b.) 3.8 units c.) 5.1 units d.) 6.2 units

C.) 5.1

Step-by-step explanation:

First, solve for J's angle of degrees

180 - (120 + 40) = 20

Second, fill in all the information that you know in the equation

sin(20) / 2 and sin(120) / k

Third, cross multiply

k x sin(20) = 2 x sin(120)

Fourth, solve for k

k x sin(20) / sin(20) = [2 x sin(120)] / sin(20)

k = [2 x sin(120)] / sin(20)

k = 5.0641777

Fifth, round to the nearest tenth

k = 5.1

its 5.1 on edg

Step-by-step explanation:

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq