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antiseptic1488 [7]
2 years ago
13

The length of tr is 17 units. what are the lengths of sv and qt? sv = units qt = units

Mathematics
1 answer:
stepladder [879]2 years ago
3 0

Applying the properties of kite, the measures are: SV = 41 units; QT = 21 units.

<h3>What is a kite?</h3>

A kite is a quadrilateral that has 2 pairs of congruent adjacent sides, and has two diagonals where the longest one bisects the shorter one and divides it into equal segments.

The diagram given is a kite. Where TR = 17 units. Thus we would solve for x using the equation as shown below:

TR = RV [congruent adjacent sides of the kite]

Plug in the values

17 = 3x + 2

17 - 2 = 3x

15 = 3x

15/3 = x

x = 5

SV = TS = 9x - 4 [congruent adjacent sides of the kite]

Plug in the value of x

SV = 9(5) - 4

SV = 41 units

The length of segment QT is 41 units.

QT = QV = 4x + 1 [congruent adjacent sides of the kite]

Plug in the value of x

QT = 4(5) + 1

QT = 21 units

The length of segment QT is: 21 units.

Learn more about kite on:

brainly.com/question/2292872

#SPJ1

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