Question

in the diagram, the length of segment vs is 39 units. what is the length of segment tv? 14 units 19 units 38 units 50 units

Explanation:

Step1: Set up the equation based on the property of a kite

In a kite, two pairs of adjacent sides are equal. So, \(3x + 4=6x - 3\).

$$
LATEXBLOCK0
$$

Step2: Find the value of \(RV\)

We know that \(RV = 2x+5\). Substitute \(x = 7\) into the equation.

$$
LATEXBLOCK1
$$

Step3: Calculate the length of \(TV\)

Since \(TR = RV\) (the diagonals of a kite are perpendicular and one diagonal is bisected by the other), \(TV=TR + RV\). So \(TV = 2\times RV\).

$$TV=2\times19 = 38$$

Answer:

38 units