Given the figure, AF is tangent to circle E, secant AD passes through the center, mCD = 50, M2CAD = 15,MLAED = 70, and mDF = 110. Find the following: 1. тBG 2. MLBEA 3. MLFAE 4. M2CBE 5. mFG F

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: 1. Given circle O with tangent MP. a. If m/M = 150, then m<N =? b. If mzk = 63, then m<JMP =? M

A: Givenm(JNM)=150°⇒m(JKM)=360-m(JNM)⇒m(JKM)=360°-150°⇒m(JKM)=210°

Q: If C is the unit circle x² + y? = 1 oriented counterclockwise and F (x, y) = xi +y j, what is the…

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Q: The lines shown are tangent to the circle. Given JA = 9, AL = 10, and CK = 14, fine %3D of triangle…

A: Explanation and solutions is given below.....

Q: In the figure below, AB is tangent to circle O at point A, secant BD interserts circle O at points C…

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Q: A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the…

A: Radius of circle R= 10inches Area of the sector A = 27 square inches θ=?

Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale). JA = 9 cm, AL = 10 cm, and CK =…

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Q: 13) 14.6 9.6 ?

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Q: AC is tangent to circle O at A. If mBY = 24 what is MYAC? (The figure is not drawn to scale.) A a 48…

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Q: 4. What is the tangent ratio of angle x? M X 15 ft 17 ft y N 8 ft O

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Q: In AJKL, the measure of ZL=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of…

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Q: Give the answers to iwo decimal places where necessary, 1. The length of chord DY is 18 cm where 0…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: AB is tangent to 0o. If AO = 24 and BC = 50, what is AB? The diagram is not to scale. B A

A: To find: The length of AB. Concept used: Pythagorean theorem: h2=p2+b2 Here, h is hypotenuse, p is…

Q: In the figure, a circle is centered at C with BE←→ and DE←→ drawn tangent to the circle at B and D,…

A: Topic: 2D geometry

Q: AC is tangent to circle O at point C. What is the measure of ZO? A 38

A: Given that AB is a tangent to circle at O at point c To find The measure of &lt;O.

Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale), and JK a LJ JA = 9, AL = 10, and CK…

A: Here, Circle with center O is having tangents JK, KL and JL. so  JA¯≅JB¯ ⇒JA=JB (tangent to circle…

Q: Given: DC is tangent to circles B and A at points D and C, respectively AC · ED Prove: = CE·BD E PA

A: The triangles ACE and BDE are similar, because: angle D = angle C = 90 degrees

Q: AC and AD are tangents to the bigger circle and intersect at A, a point on the smaller circle. C FO…

A: We have to find m BE⏜

Q: 15. If QC is tangent to circle O and QC = 8 and BC = 4, then the length of OB is _?_ %3D 8 B 4 A 6…

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Q: The larger circle is inscribed in a square with sides of length 4 cm. The smaller circle is tangent…

A: Given:          The larger circle is inscribed in a square with sides of length 4cm.          The…

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

A: Given figure,

Q: 7. In the diagram below AC is tangent to circle O at B. If mLE = 65°, mED = 110°, what is mzEBA?

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Q: With respect to circle D, AB is tangent at A, and CB is tangent at C. 12 B D' 16 What is the length…

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Q: Find the center of the circle having the radius= 20 units and the points on the circumference of the…

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Q: . Which line segment is perpendicular to DM? . Which segment is congruent to DF? . What is the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: that follow. Use separate paper. J 1. Radius 2. A diameter 3. A chord 4. A semi -circle 5. A minor…

A: Given the circle is

Q: Given MLBDC = 75° and B that line is CE tangent to the circle, determine A the measure of the minor…

A: Topic = Geometry

Q: A belt fits well to the two pulleys. In the 3. В 35 in. AA 9 CE ||AB. iC 14 in. . figure АВ. 8 in.…

A: Solution

Q: The angle between the tangents to a circle from a point P is 48°30’. The radius of the circle is 10…

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Q: A unit circle with center P is shown. In circde P, LJPK is a right angle, mZ HPJ = ;mZ JPK, and mZ…

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Q: 2. JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale If JA = 14, AL =…

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Q: JK, KL, and LJ are all tangent to circle O (not drawn to scale), and JK E LJ .JA = 9, AL = 10, and…

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Q: Given C is the unit circle z =1, then dz 2 T None - 2 Ti 2 Tt IN

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Q: In AHIJ, the measure of ZJ=90°, JI = 4, HJ = 3, and IH = 5. What %3D %3D ratio represents the…

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Q: OA and LT are tangents to circle M at A and L, respectively. If mUL = 120, mLA = 110, and mCA = 110.…

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Q: In circle P with mZNRQ = 23, find the mZN PQ. %3D R

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Q: T U 91 ° V S 161 °

A: Theorem :-  When a tangent and a secant, two secants, or two tangents intersect outside a circle…

Q: In the figure above, AB is tangent to the circle with center O at point A. if angle AOB has a…

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Q: Lines CD and DE are tangent to circle A, as shown below: 125° E A B

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Q: Solve for the missing information, given the AB is a tangent line to circle C. 2. 6 cm 8 cm FA =

A: Given that a circle and AB is a tangent line and CB is a radius of Circle . Here i attached solution…

Q: Given: AB and AC are B tangents to 00 from point A AABC is isosceles A Prove:

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Q: M 40° K 138°

A: Arc angle= angle subtended by the arc at center. Sum of measurement of angles of a quadrilateral is…

Q: Is line PT tangent to Circle C at Point P? 24 10 C 26 O Yes O No O Not enough info.

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Q: With respect to cirele D, AB is tangent at A, and CB is tangent at C. 12/ в B D 16 What is the…

A: here option (B) is true .

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: In AGHI, the measure of ZI=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of…

A: Given in △GHI, the measure of ∠I=90°, GI=5, IH=12, and HG=13.

Q: Find the length of the arc, s, on a circle of radius r intercepted by a central angle

A: Equation to find arc length is ,               s=radius×central angle in radians

Q: A frequent problem in surveying city lots and rural lands adjacent to curves of highways and…

A: Given:  Base of the triangle= 30yd  Height of the triangle= 40yd  Angle of sector = 60°

Q: In the diagram below, PA is tangent to the circle at A and PBC is a secant. If mAB = 80 and mBČ =…

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Q: AB is tangent to circle C. If AC = 5, and AB = 12, what is the length of BC %3D %3D 12 17 B 30 13 It…

A: We are given the following. So, ABC is a right-angle triangle. Now, we need to find BC.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.