Cd is perpendicular bisector of both xy and st and cy=20 find ct a) 7 b) 9 c) 15 d) 14

Option C) 15

Step-by-step explanation:

It is given that CD is perpendicular bisector of both XY and ST and CY = 20

We have to find the measure of CT.

In the triangles CSM and CTM

SM = MT = 7 (CD is perpendicular bisector of ST)

∠ CMS = ∠ CMT = 90°

Side CM is common in both the triangles.

So, Δ CSM ≅ Δ CTM

Therefore, side CS = side CT = 15

Option C) 15 is the correct option.

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2