3 years ago

Please help with step by step. Thank you

Mathematics

1 answer:

o-na [289]3 years ago

4 0

Answer:

SU = 2
PX = 6 2/3

Step-by-step explanation:

The product of distances to the circle along a secant is the same for all secants intersecting a given point.

a. Secants SW and QT intersect at U. Thus ...

(UT)(UQ) = (US)(UW)

(1.5)(4) = (SU)(3)

SU = (4)(1.5)/3

SU = 2

b. Secants PT and PX intersect at P. Thus ...

(PQ)(PT) = (PR)(PX)

PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3

PX = 6 2/3

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