In the diagram, point d divides line segment ab in the ratio of 5: 3. if line segment ac is vertical and line segment cd is horizontal, what are the coordinates of point c? a. (5, -3) b. (2, -3) c. (7, -1) d. (2, -1)

D. (2,-1)

Step-by-step explanation:

Given: In the diagram, point D divides line segment AB in the ratio of 5:3.

Since, line segment AC is vertical then the x coordinate of C will be same as A  (2) and line segment CD is horizontal then the y coordinate of C will be same as D.

Coordinates of A = (2,-6)

Coordinates of B = (10,2)

Section formula: If a point P(x,y) divides a line segment MN with in ration m:n, then

Using section formula, we have

The y coordinate of D =

Thus, the coordinates of C =(2,-1)

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet