The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV. UV.

Step-by-step explanation:

Given

Required

Determine UV

From the given parameters, we have that:

Ratio of TU = 2

Ratio of UV = 5

Ratio of VW = 5

First, we have to add up the total ratio;

Total = Ratio of TU + Ratio of UV + Ratio of VW

Next is to calculate the length of UV; as follows;

Substitute 5 for Ratio of UV;  12 for Total Ratio and 24 for TW

Hence; length of UV is 10 units

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2