1. Consider the figure below. If zb and Le are complementary, then: The measure of La is The sum of mza and mzb is The sum of mza, mLb, and mee is If mLs = mLa + mLC, then 2z is o acute. o obtuse. o right. o straight.

Q: 3 Prove that the triangles are Similar. B. C. 7. 5. 2.5 E 6.25 -AABD~ACDE by SAS~ -A ABD~ADEC by SAS…

A: GivenIn△ABD and △ECD∠BAD=∠CED     (Given)∠ADB=∠EDC     (common angle )therefore △ABD and △ECD by…

Q: 1. Based on the construction below, which conclusion is not always true? E А. АВ 1 CD В. АВ 3D CD O…

A: We will solve the following.

Q: 7. In circle M, secants PAMD and PBC are drawn from point P such that mBC =100' and mCD = 62'. Which…

A: A minor arc is the shorter of the two parts of the circumference arcs defined and split by two…

Q: 11. Suppose ADEF = AWXY. Which choice below shows corresponding parts to congruent triangles that…

A: We have, △DEF≅△WXY

Q: 2. In AASR. W,E, and N are midpoints. Determine the lengths of each segment using the number bank. A…

A: Given: W, N and E are midpoints of the line segment AR, RS and AS respectively

Q: Given HM = 24 and mHK 66°, find z and y. %3D 24 y

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Q: If RS = RU= 23, mZRTS = 5w 69°, and mZRTU = w+ 3°, what is mZSTU? %3D R

A: Given:  RS=RU=23m∠RTS=5w-69°m∠RTU=w+3° To Find:  m∠STU=?

Q: Based on the diagram shown, which of the following statements is true? F 17 15 38 14 26 O AC is…

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Q: 4. If HK is the perpendicular bisector of FE, which of the following statements is not true. F H. O…

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Q: Which of the following is NOT true about the following diagram? O Lines a and b appear to be…

A: Given figure :-

Q: 2) 3) Gum of the interior angles Sum ofthe interior apglles Sum of the interior anale

A:

Q: IF d (u,y) is one meter el, prove that on p(a,y) is also one meter on d (u,y) 1 +

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Q: d. h V k

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Q: The points M, N, O and P all lie on the same line segment, in that order, such that the ratio of…

A: Given,    MN:NO:OP is equal to 3:2:3.     So, we know that MP is the longest segment and the other…

Q: 6. a) The sum of the interior angles of a regular polygon is 1260°. Calculate the number of polygon.…

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Q: Given: AB I BC; BD 1 AC a. If m LC = 22, find m L ABD. b. If m LC = 23, find m ZABD. c. Explain why…

A: According to given figure in △ABC and ∆ADB ∠ABC=∠ADB…

Q: Which of the following is always true about the lengths of the SHD and SD of skew lines? Choose the…

A: Given question Which of the following is always true about the lengths of SHD and SD of skew lines?…

Q: 1. Consider AASR. W E R Write the three pairs of parallel segments in AASR. RS WE AS NE RA WN 丰

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Q: We want to fenca in a ne slide b up againd a lacae building and Idbesn't noedh fancing rechanguler…

A: This question can be solved using the concept of maxima or minima.

Q: 4. If DT = 15, TC = 35, and ES = 35, calculate the perimeter of ADEC.* *Image not drawn to scale. E…

A: Given the triangle :

Q: 10. Given: Quadrilateral MATH, HM = AT, HT = AM, HE LMEA, and HALAT Prove: TA HA = HE • TH M E

A: We have to prove TA*HA = HE*TH

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

A: Explained below

Q: Which similarity theorem proves that the following two triangles are similar? 12 15 36 28 O SSS…

A: similar triangles are the same shape, but not necessarily the same size

Q: Dctermine the number of triangles formed qiven condition.s. 9=10 b-10 LA= 45°

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Q: 14.SW = %3D 9/3 SA = 60° S 45° ST = %3D TA =

A: Given data is : WA=93∠ASW=60∘∠AST=45∘ In triangle ASW, tan60∘=AWWS3=93WSWS=9

Q: The circumference, C, of any circle divided by its diameter, d, is r. The radius, r, of any circle…

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Q: Given A = 3cosoâ + 2sinoy, the value of A.o at point P(3,65°,0) is

A:

Q: 22. Which line segments in the figure are congruent if HK is a midsegment of AFGJ? K F GH HJ FG = KH…

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Q: 2. Compute for the value of x and the measures of each exterior angle of the quadrilateral below. L…

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Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

A:

Q: 12. What information is needed to prove that CD is a perpendicular bisector for KM K L M D

A: We need to prove CD is a perpendicular bisector for KM. if CD is a perpendicular bisector for KM,…

Q: Qua BOD ADCD n Detine the tralation Uhe eptube

A: We will determine the translation as following.

Q: 3b) Circle correct choices from among Y, N, Proof, and Witness and provide below a proof or witness…

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Q: Given that mz RSQ is congruent to mz TSQ and TQ measures 1.2 units in the diagrar below. What is the…

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Q: 8. to 12 3. 4. 7. agram above gles would be congruent under the vertical rem?

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Q: ) Illustrate the other distributive law by selecting the region(s) corresponding to An (BU C) on one…

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Q: 5. If PQ = 4 and PN = 2, find MN. 6. If PQ = 8 and MN= 3PN, find PM. %3D 24

A: Topic:- circle and it' property

Q: Recall the Angle-Bisector Theorem. If a ray bisects one angle of a triangle, then it divides the…

A: 1 MN.PQ=188= 144       NP.MQ=1212= 144    ∴ MN.PQ=NP.MQ  ⇒NPMN=PQMQ   proved2 This implies NQ→…

Q: 14. Suppose the perimeter of Triangle ABC is 50, AZ = 3, and CX = 10. Find ВС. ВС %3D Y C. B. Your…

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Q: 8. In the figure below, A ABC was dilated and then reflected over line m to create APQR. If mLA =…

A: See attached file for a step by step explanation.

Q: 7. If angles J and K are supplementary and adjacent, which statement about the two ar 2J and ZK form…

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Q: Given y, = Bo + Biyt-1 + €; and e, i.i.d. N(0, o²), compute: (b) Var(y,).

A: Given information: In the given model the current period is predicted on the basis of its preceding…

Q: Use the figure below and the given information to delermine itlmes mara Nparalel Fogare not drawn to…

A: We know that if 2 corresponding angles are equal then corresponding lines are also equal  i.e. to…

Q: Given the similarity statement AHIJ ~ AWXY, which side corresponds with IH ? A) ĪJ B) XY O C) XW D)…

A: We will solve the following

Q: 9. If JG = JF, GD = 13, and mCD = 136', find each measure. 10. If YU = YV, ST = 16, mQS= 34', and…

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Q: 2. Given: CE bisects 4FCD and Prove: ZF = ZD СЕ CF = CD F E D

A: We are allow to solve one question at a time

Q: #12, Arepresents He loine i HER Which pt. on A is closest to the pont P(2, -1,4)! A) (s/2, IM, W4)…

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Q: 23. According to the diagram below, determine the lengths of BC and XY to determine if BC XY. 10 -10…

A: The given data is: The coordinate of, B=-3,6C=-1,1X=6,3Y=1,1  To determine the length of BC¯ and…

Q: In Exercises 5-8, use ALMN. where U, V, and W are the midpoints of the sides. 5. When LV = 9, what…

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Q: 10. In O A, what is the measure of LSAY if DSY is a semicircle and mzSAD %3D 50? a. 130° с. 100° b.…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.