14. In the figure, AC in a diameter of the circle, AC is produced to apoint Dsuch that BA= BD. If ZCBD-16, firid ZRAC.15In the figim

Answered: Image /qna-images/answer/0d151280-9992-4d7e-86d9-3f69925c689e.jpg

Answered: 14. In the figure, AC in a diameter of…

14. In the figure, AC in a diameter of the cirele. AC is produced to a point Dsuch that BA= BD. If ZCBD-16 , find ZRAC. D.

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 13E

See similar textbooks

Related questions

Q: 5. In the diagram below, AB is tangent to circle C at point D and AC 1 BC. If mLA= 28° then which of…

A: The sum of 3 angles in a triangle is equal to 180 degree.

Q: In ANOP, the measure of ZP=90°, NP = 60, ON = 61, and PO = 11. What ratio represents the cosine of…

Q: Ifr = 16 in., find the length of an arc of the inscribed (a) regular hexagon, (b) regular triangle,…

A: Given, r = 16 in. Length of arc, L = (θ/360)*(2πr), Where θ is the angle subtended by the arc a) For…

Q: In the figure, PA and PB are tangent to circle O and PD bisects ZBPA. The figure is not drawn to…

Q: In the accompanying diagram, CD is tangent to circle O at B. AO and BO are radii, and chord AB is…

Q: In 00, the radius of the circle measures 13 inches. The radius OB is perpendicular to chord CD whose…

Q: AB is tangent to Circle O. If AO = 24 and BC = 50, what is AB? 4. %3D %3D A

Q: 2 D Segments AB and BC are both tangent to circle D. If ZADC has a measure of 132°, find mZABC.

Q: 4.) Which of the following illustrates circle H with radius segment C H and diameter segment CA ?

Q: Given concentric circles with center O, AABC is inscribed in the larger circle as shown. If BC is…

A: Consider the given figure as

Q: 2. Find the length of chord HT that is 4 cm from the center of circle A with a radius of 5. Hint:…

Q: 3. In the diagram below of circle A diameter MP= 26, mzGAI - 30 and radi GA and Al are drawn.

Q: 6. EC is tangent to circle O. ABis a diameter. If mDB = 47°, find mAD, ZECD %3D B.

Q: In the diagram, O is the centre of the circle. A, B and C are points on the circumference of the…

Q: 15. In the figure, AC is a diameter of the circle If D is a point on AB such that OD 1 AC, prove…

Q: SI 43. OI is inscribed in a right triangle ATUP. If IA = 10 and PU = 34, find the perimeter of T %3D…

Q: Consider the diagram below. B 3.5 in 2 in. C For the above circular shape, chord FE is a…

Q: 15. In the figure, OCTD is a sector of a circle which touches AB at T. Given that AB 20 cm and BO =…

Q: In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and…

A: The secant of a circle is a line segment that cuts the circle at two points. The tangent line of a…

Q: 19. If BC = 17 and DC = 26, what is the diameter of circle O to the nearest tenth? The figure is not…

A: Explanation of the answer is as follows

Q: *17. In the figure, BD is a diameter of the circle. PQ is the tangent to the circle at A. If 2QAB =…

A: Solved below

Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale). JA = 7 cm, AL = 6 cm, and CK = 9cm.…

A: Perimeter of triangle

Q: In the accompanying diagram, PA is tangent to circle O and PBC is a secant. If PA = 4 and BC = 6,…

Q: Given: D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: a) Consider the circle in Figure 1. What is the what is the length of the circular arc (in Metres)…

A: (a). As we know that the expression for the length of the circular arc is: Arc length=2πrθ360°…

Q: In ASTU, u of a centimeter. 220 cm, ZT=145° and ZU=18°. Find the length of s, to the nearest 1oth…

Q: Jo the figure alongside, O is the centre of a circle. If PB = PD. M. prove that OM ON.

A: Given In the figure , O is center of the circle and PB =PD .

Q: 1. ?? and ?? are secants of a circle which when extended beyond ? and ? at point ? outside the…

Q: In ARST, s = 58 inches, ZR=115° and ZS=19°. Find the length of r, to the nearest 10th of an inch.…

A: given,

Q: 5. Given: Circle A with DE perpendicular to AB MZDAC = 60° AE = 4 Find: mDE, CE, AC, CB В E

Q: 3. Given isosceles right triangle ABC with AC as the hypotenuse (as shown below), a circle with…

Q: 3. TB and TC are tangents to circle O. a. If LTIS 35°, find LCOB, BC and CDB b. If CDB is twice BC,…

A: 1. angles between radius and tangents is a right angle. 2. Arc angle property The…

Q: B

Q: 4. A right cone has a radius of 10 in and a height (not slant height!) of 24 in. What is the SA?

A: If you like the solution then please give it a thumbs up.. The Answer is: Surface Area = 360π…

Q: The circle below has center O, and its radius is 4 yd. Given that m ZAOB=60°, find the length of the…

Q: 9. In the diagram of circle 0, diameter AB is parallel to chord CD. If mAC = x+ 9 and mBD = 4x – 12,…

Q: 2. The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: Observe the figure carefully

Q: 3. In the diagram below of APAO, AP is tangent to circle O at point A, OB = 7, and BP = 18. What is…

A: To find length of the side AP=?

Q: The circle below has center O, and its radius is 5 in. Glven that mZAOB=30°, find the length of the…

Q: 8. Which of the following is a secant of the attached circle? 이 CD AB JK

Q: In ⨀?, radius line segment OD⊥ chord line segment AB at point ?. If OD = 17 and AB = 30, find OC.

Q: (a) Let A, be the area of a polygon with n equal sides inscribed in a circle with radius r. By…

Q: 0. Given: Isosceles AABC inscribed in a circle, with base BC. Prove: If P is any point on minor arc…

Q: DA = 3.5 %3D BA = 2 CA = 2 %3D 3 B. 3,5

A: Theorem The tangent at any point of a circle is perpendicular to the radius through the point of…

Q: 2. What is the first step to construct a congruent triangle such that AFGH = AJKL? Measure JK.…

A: The first step to construct a triangle which is also congruent to the given triangle is given by :…

Q: The image shows a circle with diameters AC and BD. Prove that chords BC and AD (not drawn) are…

A: Find your answer below

Q: 7. Consider the circle drawn below where the measure of, ZC AR 2.15 radians and the measure of the…

A: GIVEN, radius =6cm and angle CAR=2.15 radians

Q: In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from external point P.…

A: We can make it easier for you

Q: (a) In a circle of radius r, what is the length s of an arc thatsubtends a central angle of u…

A: Given radius of circle is r central angle = u radians

Q: 6. In the accompanying diagram of circle O, diameter AOB is extended through B to external point P,…

Question

14. In the figure, AC in a diameter of the circle, AC is produced to a
point Dsuch that BA= BD. If ZCBD-16, firid ZRAC.
15
In the figim

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Given : In the figure, a=e=66. Also, YZZW. If YW=14.3 in. and YZ=7.8 in., find the perimeter of XYW to the nearest tenth of an inch.
3. State the reason SSS, SAS, ASA, AAS, or HL why The triangles are congruent. Note the marks that indicate congruent parts. a RVSRTS b XMWMYZ
Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for Exercise 20.
Given circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of triangle ABC is nearest point O?
Given: Regular pentagon ABCDE with diagonals BE and BD. Prove: BEBD HINT: First prove ABECBD.
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
For the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZ
In the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD?
Given: Regular pentagon JKLMN not shown with diagonals LNandKN. Find: mLNK
Given that CF is a tangent to the circle shown: a)CF=6,AC=12,BC=?b)AG=3,BE=10,BG=4,DG=?c)AC=12,BC=4,DC=3,CE=?d)AG=8,GD=5,BG=10,GE=?e)CF=6,AB=5,BC=?f)EG=4,BC=3,CD=ED,ED=?g)AC=30,BC=5,ED=12,CD=?h)AC=9,BC=5,ED=12,CD=?i)ED=8,DC=4,FC=?j)FC=6,ED=9,CD=?
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?