(O In the diagram below, tangent DA and secant DBCare drawn to circle O from external point D, suchthat AC = BC.If mBC = 152° determine and state mZD.2) In the diagram below of circle O with diameter BCand radius OA, chord DC is parallel to chord BA.BDCIf MZBCD = 30°, determine and state mZAOB.In the diagram below, chords PQ and RS of circleO intersect at T.Which relationship must always be true?1) RT = TQ2) RT = TS3) RT+TS = PT + TQ4) RT x TS = PT × TQP.CHOICE #T.RIIn the diagram shown below, PA is tangent tocircle Tat A, and secant PBC is drawn where pointB is on circle T.If PB = 3 and BC = 15, what is the length of PA?

(As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Answered: In the diagram below, tangent DA and…

In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such that AC BC. If mBC = 152°, determine and state mZD. %3D A °C

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 38E

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

(O In the diagram below, tangent DA and secant DBC
are drawn to circle O from external point D, such
that AC = BC.
If mBC = 152° determine and state mZD.
2) In the diagram below of circle O with diameter BC
and radius OA, chord DC is parallel to chord BA.
B
D
C
If MZBCD = 30°, determine and state mZAOB.
In the diagram below, chords PQ and RS of circle
O intersect at T.
Which relationship must always be true?
1) RT = TQ
2) RT = TS
3) RT+TS = PT + TQ
4) RT x TS = PT × TQ
P.
CHOICE #
T.
RI
In the diagram shown below, PA is tangent to
circle Tat A, and secant PBC is drawn where point
B is on circle T.
If PB = 3 and BC = 15, what is the length of PA?

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