SAT Math Practice Question #23105 - SATify | SATify

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SAT Math Practice Question #23105 - SATify | SATify

#23105

geometry

circles

hard

120 sec

Cyclic quadrilateral $PQRS$ has lengths $QR = 4$ , $RS = 4$ , and $SP = 6$ with $∠ RSP = 12 0^{\circ}$ . What is the length of the shorter diagonal of $PQRS$ ?

A.

$\frac{32 19}{19}$

B.

$219$

C.

$\frac{30 19}{19}$

D.

$8$

E.

$7$