CD is the perpendicular bisector of both XY and ST, and CY=20. Find SX.

A. 4
B. 5
C. 6
D. 7

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Respuesta :

DizzyBerco DizzyBerco · Answer 1 · 2019-03-12T18:31:37+01:00

Answer:

B.5

Step-by-step explanation:

In the figure, the measurement of [tex]\dfrac{_}{CY}[/tex] is 20. The measurement of [tex]\dfrac{_}{CS}[/tex] is 15.

In this triangle we can see that the measurement of [tex]\dfrac{_}{CY}[/tex] and [tex]\dfrac{_}{CX}[/tex] are the same.

We can then assume that [tex]\dfrac{_}{SX}[/tex] will be the different between [tex]\dfrac{_}{CY}[/tex] and [tex]\dfrac{_}{CS}[/tex]

20 - 15 = 5

So [tex]\dfrac{_}{SX}[/tex] = 5.

zainebamir540 zainebamir540 · Answer 2 · 2019-03-12T19:36:08+01:00

SX will be equal to 5

As we see that CD is the bisector of XY and ST which means that XY and ST must be congruent to each other.

Since the length of CY is 20 so the length of its opposite side CX must also be 20.

If CX is 20 then CX = CS + XS so 20 = 15 + XS which comes out to be 5

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