For 3 and 4, D is the midpoint of ACand E is the midpoint of BC 3. If AC=17, find DE. 4. If BE=4, find EC.

Q: For items 14 to 17: In the plane of circle 0, P is in the exterior of the circle. PA and PB are…

A: Using geometry

Q: In the diagram below of triangle GHJ, K is a midpoint of \overline{GH}GH and LL is a midpoint of…

A: Given: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. So,…

Q: In the diagram below, if Bis the midpoint of AD and AB= 11, find AD. %3D А D 15 О 25 O 22 O 11

A: If B is the midpoint of the line AC , then AC =2 AB or AC =2BC.

Q: L is parallel to D. The distance between L and D is 26.

A:

Q: Find the value of a in the parallelogram shown to the right. Note that the figure is not drawn to…

A: Given,

Q: 60. If AC = 18, BE = 13, DE = 3 and D is the midpoint of CE, what is AB? %3D %3D А В A C E A. 10 В.…

A: Given: AC=18, BE=13, DE=3 and D is mid point of CE Now, if D is midpoint of CE then CE=2DE=23=6

Q: If BC is tangent to Circle O, find the value of AB. 16 а. 192 b. 13.9 A- C. 8 d. 24

A: We are asked to find the value of AB.

Q: In Circle O, AOC Is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A:

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

A:

Q: In the diagram below, NO is parallel to KL. OL = 1.8, MN = 2.7, and MO = 2.2. Find the length of NK.…

A: From the given figure: Let the side NK is ''x''. According to the given figure, ∠N=∠K ; ∠O=∠L So,…

Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

A:

Q: Given: D is the midpoint of AC АС — ВС A CD 2х + 5 ВС — х + 28 Find: АС

A: Given: D is the midpoint of AC. AC=BC CD=2x+5 BC=x+28

Q: Given C is the unit circle z=1, then dz = %3D None 2 T - i - 2 Ti

A:

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 diagram below, chords ED and AB of the circle C(O, r) meet at right angles at a point F such…

A: See the explanation below

Q: Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is…

A:

Q: In the accompanying diagram of circle 0, PA is a tangent and PBC is a secant. If PB = 2 and BC = 6,…

A: We have to find AP

Q: In ASTR, points E, F and D are midpoints. EF = 11 cm, DF = 9 cm and ED= 5.5 cm. a. Find SR b. Find…

A: Given that  The triangles  To find the following

Q: In the diagram, each side of quadrilateral ABCD is tangent to Circle J. Find the perimeter of the…

A:

Q: Assume D, E, and F are tangent to Circle O. Find the perimeter of the triangle. 3 4 A 10

A: Given from the given figure

Q: In AABC, D is the midpoint of AB and E is the midpoint of BC. If AC = 3x – 15 and DE = 6, what is…

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

Q: In the figure below, the segments WX and WY are tangent to the circle centered at O. Given that…

A:

Q: In the diagram below of triangle GHJ,K is a midpoint of GH and L is a midpoint of H J. If KL = 7x –…

A: Given : K is the midpoint of GH and  L is the midpoint of HJ. KL = 7x-28GJ = 34-x

Q: In the figure given alongside, O is the centre of the circle and PQ is a diameter. Chord ST is…

A: Construction: We shall join RP and PS:

Q: Find a positive angle less than 2x that is coterminal with the given angle. 43 43x A positive angle…

A: To find the positive angle less than 2π that is conterminal with 43π5.

Q: What type of construction is illustrated in the figure? A D o An angle congruent to ZD OThe…

A: Observe that the arc cutting are drawn from both the sides of arc on point D.

Q: In the accompanying diagram of circle 0, PA is a tangent and PBC is a secant. If PB = 2 and BC = 6,…

A: If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the…

Q: In the diagram below, PR is tangent to circles O and S. Answer the following. If OP = 7, SQ = 3.5,…

A: AAA triangular similarity: Triangles are similar if the measure of all three interior angles in one…

Q: In the diagram below of triangle HJK,L is a midpoint of H J and M is a midpoint of JK. If LM = 71 –…

A: Explanation of the answer is as follows

Q: A D F C Given ZA = 65 and ZE = 16, what is the length of EC? %3D

A:

Q: For 2 and 3, D is the midpoint of ABand E is the midpoint of BC 2. If AD =7, find DB

A: Given Data: The point D is the midpoint of AB. The point E is the midpoint of BC. 2. The length of…

Q: In the diagram below of circle 0, secant AB intersects circle O at D, secant AOC intersects 10.…

A: We have to find the length of OC.

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

A:

Q: Given the figure, AF is tangent to circle E, secant AD passes through the center, mCD = 50, M2CAD =…

A: Given: CD ⇀= 50,  DF⇀= 110 ,                        ∠CAD= 15, and ∠AED…

Q: Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2), Find the distance from: (a) A…

A: Distance

Q: In Circle O, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC Is 3…

A: We have to find the missing angle

Q: For what values of k, would the following two planes make an angle of 60° Myi X dy tKz = 6 and Ñ e'…

A:

Q: Given the point P on the circle x2+ y2 = r2 that is also on the terminal side of an angle %3D e in…

A: we use Trigonometry ratios

Q: In Circle o, AOC is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A: We have, In circle O, AOC¯ is a diameter. mAC⏜ = 180°mDC⏜ = 2 mAD⏜-3° To evaluate: The value of m∠B

Q: For AKMP, Q is the midpoint of KP, L is the midpoint of KM, and N is the midpoint of PM. Also, KP =…

A:

Q: In the given image, the circle has center A and radius AB¯¯¯¯¯¯¯¯. Which of the following is the…

A:

Q: The lines shown are tangent to the circle. Given HB = 5, DF = 10 and FC = 3, %3D %3D

A: We have; HB=5; DF=10 and FC=3 we have to find BC=?

Q: In the circle with centre O,OT is parallel QP,OS is parallel to PR,OT =5units, PQ=24 units,…

A:

Q: Given: Diagram as shown ZPRS ZSRQ PS -6 sQ-8 PR 15 Find: QR (Justify your work.)

A: According to the Angle Bisector Theorem, an angle bisector of a triangle will split the opposite…

Q: two secants are drawn to a circle from 25.5, EX= 34, and E Y= 51. Finc

A: We have to find the following conditions according to the given information

Q: Given AB is tangent to OC at point B, what is the circunference of OC? (2r – 1) A (r+ 1) r

A: Consider the given: The tangent touches the circle at the point of contact and it is perpendicular…

Q: Suppose two circles intersect at A and B. Let C and D be points А on one of the circles, let C'A…

A: Meet the point A to B.

Q: The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular…

A: Diameter is the joining of two points on circle passes through origin

Q: 13 In circle 0, chords AB and CD intersect at E. If AE = 8, EB = 6, and ED = 12, find the length of…

A: