Given: ABCD is a kite with AB AD and CB =CD. Prove: ZB=ZD AB= AD and CB = CD a. Given b. Reflexive Property AC = AC C. SS ΔΑΒC ΔADC d. CPCTC ZB = ZD

Q: In AFGH, FG || IJ. Given that HF= 24, FG=32, and IJ 20, find HI. G HI%3D H. %3D

A:

Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: In AMNO, M = (15, 15), N = (23, 23) and 20 = 30°, ZM = 45°. The length of NO is %3D %3D %3D Select…

A: This can be solved by using the Law of sines as explained in step 2.

Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

A:

Q: Find z such that: IZI = 2, arg Z : 6.

A:

Q: Given: LA ZE and AB DE Prove: CB DC

A:

Q: b) Find the centre of D8. What about the centre ofD,, ? What is the centre of Dn?

A:

Q: Given: ZBAD = LCDA AB = CD Prove: AE = DE (HINT: Prove ABAD = ACDA first.) B 2 A D.

A: Given: The angle BAD is equal to CAD. The side AB is equal to CD. Concept used: SAS congruency rule.…

Q: Consider the following figure. E F G H 4121l31l, AB = 7, BC = 5, CD = 4, EF = 8 Given: Find: FG, GH,…

A:

Q: Use the information to decide if AABC is acute, right, or obtuse. 11. AC 13, ВС 15, CD = 12 12. АС…

A: Solution: Consider the given information  (11) AC = 13, BC = 15, CD = 12 Square of all sides we have…

Q: Find p such that angle between u= and v = is 60°. 4 .a O p=t- 15 None of these .b O 2CO p=+- V5 2 .d…

A:

Q: Given d = and i = , find 3d – 6i. 3d – bi =

A: To find  3d-6u

Q: 3. S dy у e sin²(e)

A:

Q: iR w= f cu) and メコ show that x Jw

A: We’ll answer the only one question since the exact one wasn’t specified. Please submit a new…

Q: Find the measure of QP if Q is the incenter of ΔJKL. Also, Find the measure of ∠QJK if Q is the…

A:

Q: Quiz No. 1 oprnte %e Laplace Trensfom on the following Cos 3t ci; 7Ct) = si) fle) . %3D

A: to find the Laplace transform of ft=cos3t proceed as follows Lft=Lcos3t using the formula…

Q: H is the orthocenter of AABC. We know AB = AC = BC/ V3. What is ZBHC?

A: '

Q: Complete the following proof by matching the correct statement with the correct reason. C B Prove:…

A:

Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Find the value of the secant for ZR. 3)14 14 а. b. V5 с. d. 3 R O A

A:

Q: Let X = R and Y = {(0, a, 0), a EE R} %3D %3D and V = {(b,0, b), be R} %3D Then X = Y e V %3D O True…

A: FALSE

Q: D A 34. Given: Prove: DB 1 BC and CE 1 DE AB AE LBDC = AECD (HINT: First show that AACE = AADB.) B

A: The objective of this question is to prove that Angle BDC equals Angle ECD given that DB is parallel…

Q: Let u = 3j - 2k and v = 2i + 5k. Calculate cose where between u and v. is the angle

A:

Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: Given u = i- j, and v = j+ k, determine the magnidue of u +v and - 2v.

A: By sum of two vectors we have  u+v=(i-j)+(j+k) u+v=i+k -2v=-2(j+k)=-2j-2k

Q: Given: ABC and A DEF such that AC DF, ZA≈ ZE ZC ≈ ZD Which statement is true about the two…

A:

Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

A:

Q: DG DH Given: DE ZDGH = LE DF Prove:

A: Consider the figure with given: DGDE=DHHF. Prove: ∠DGH≅∠E Consider △DEF. Apply theorem- If a line…

Q: Let X = R° andY = {(0,0, a), a E R} %3D and V = {(0, b, b), be R} Then X = Y V

A: We know direct sum  Y⊕V={(a+d, b+e, c+f)where Y =(a, b, c) and V=(d, e, f)}

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.