The length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because. help ):

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

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