Given the triangle shown below with exterior angles that measure x°, y°, and z° as shown, what is the sum of x, y, and z ? 72° F. 180 G. 231 Н. 309 360 57° J. K. Cannot be determined from the given information

Q: Find the measure of the angle marked x in each of the following triangles. (a) (c) (d) (b) 61 ASA…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The cube shown has sides of length 13 cm. Find: H. G E а BD b the angle FDB. D A B

A: Using pythagorean formulaBC=132+132 =132 cmSo, diagonal of each side=132 cm

Q: Given the angle equals n/6 where. Calculate the combined circumference of the two circles minus the…

A: Given two circles C1 and C2 with centers at A and B Radius of circles C1 and C2 are r1 and r2 Given,…

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

A: Putting the formula of area of sector we have

Q: The following diagram shows triangle ABC, with AB = 3 cm, BC = 8 cm, and AÊC = ". 3 diagram not to…

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Q: Two lines and a ray intersect at a single point as shown below. 70- In the drawing above, what is…

A: We have to find x

Q: Solve for the missing 4 cm information, given that the two triangles are SIMILAR. y (If a decimal…

A: our objective is to find x and y.

Q: A right triangle is shown below with the dimensions given in units. 12 51° Which measurement is…

A: The given triangle is as follows: For the given triangle: Hypotaneos = 12 Perpendicular = y Angle =…

Q: What is the length of the missing side in the given triangle? The figure is not drawn to scale. 8. O…

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Q: 2. Determine the lengths of the missing sides using trigonometric ratios. a. b. 4 in. 60 2.5 in. ho…

A: The side opposite to the angle is taken as perpendicular during writing trigonometric ratios.…

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: according to our guidelines we can answer only  first question and rest can be reposted.

Q: 31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to…

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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: 2) Find the distances r and y across the corners of a hex- bolt if the distance across the flats is…

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Q: Refer to AMNO to answer item 18-20. 18. In right triangle MNO, right angle at N. If mZ0= 30 and MO =…

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Q: 1) To find the width ED of a river, a surveyor places markers at A, B, C, and D, as shown. The…

A: Given Data : AB∥ED, BC=50ft, DC=312ft and AB=80ft To Find : Wide of river i.e. the measurement of…

Q: Which of the following can not give you a cross section that is a triangle? Cone O Cube O Cylinder…

A: The answer for this question is "cylinder". A cross section is the non-empty intersection of a solid…

Q: The distance around a circular path is 1,000 meters. Which of the following most nearly approximates…

A: The distance around a circular path is called the circumference of the circle. If  r  is the radius…

Q: Consider the diagram below. 85 R. 103 121 51° RATE is a quadrilateral inscribed in the above circle…

A: solve the following

Q: Solve for the missing information, given that the two triangles are SIMILAR. /3 cm 3.2 cm 12 cm (If…

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Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: Explanation of the answer is as follows

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: If the central angle θ is measured in degrees then arc length , s =θ360°2πr ; where 'r' is the…

Q: Choose the appropriate value for z for the following similar triangles given below. AABC AXYZ. ΔΑΒC…

A: Here given  triangles as Also △ABC~△YZX

Q: Find the value of x, correct to 1 decimal place, for these triangles with given areas. b 5 cm a x mm…

A: As we know that the expression for the area of triangle when adjacent side  and angle between them…

Q: From the figure below, compute for the distance BD and the remaining interior angles. B & 810 m 150…

A: Given data:

Q: Mr. Johns asked the class to find the radius of a circle centered at the origin that contains the…

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Q: What is the length of NK? 2.What is the length of NM? 3.Prove that the measure of JKL

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

Q: A right triangle has one angle that measure 23°. The adjacent leg measures 27.6 cm and the…

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Q: The distance between Boats 2 and 3 is 50 miles. Given the image at below, determine the distance…

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Q: In the diagram below of triangle KLM, N is a midpoint of KL and Pis a midpoint of LM. If N P: = x +…

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Q: Given a right triangle ABC where angle C = 90°, side b = 43.5 units, and side c = 86.7 units. Which…

A: We know that  Tan (theta)=opposite side /adjacent side We will find the measure of angle B as shown…

Q: 4. Explain why the values of the trigonometry ratios only depend on the angle and not on the…

A: Given two triangles one having sides x, y and z and other having sides q, r and s. The angle given…

Q: Given the length of arcAB is 8Tt and the measure of ¿ACB= 72 degrees, find the area of the shaded…

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Q: (15. Name the intercepted arc from the inscribed angle of circle P. A. EF B. FG C. EG? D. EFG 16.…

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Q: At the triangle ABC is AC = 8, B = 30° and the length of the normal BP from B on the line through AC…

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Q: The circle has center O. Its radlus Is 9 m, and the central angle a measures 50°. What Is the area…

A: The solution for the above question is as shown below.

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: 1. Use similar triangles to find the lengths labeled x, y, and z. Show all your work! B 15 8 A D AC…

A: In this question we have to find the value of x, y and z.

Q: What is the measure of Zx? Angles are not necessarily drawn to scale. 47° F G B

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Q: In AMNO, the measure of ZO=90°, MN = 99 feet, and OM = 26 feet. Find the measure of ZM to the…

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Q: Based on the measures provided in the diagram, determine the measure of the angle e. 58 (You may…

A: Given that   Given∠CAB =58°and ∠CDB = θGiven two sectors CAB and CDBNow, we find area of sectors…

Q: Consider the triangle shown in the figure. y (cm) 11 10 8 7 6 5 4 3 2 1 0 012 3 4 5 6 7 89 10 11 x…

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Q: In AHIJ, i = 90o cm, ZH=95° and ZI=28°. Find the length of j, to the nearest centimeter. Answer:…

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Q: Given two similar triangles, as shown in the figure below, find the unknown length. b' = 5, c' = 12,…

A: Triangle ACB ~ Triangle A'C'B' AB/A'B' = AC/AC' (ratio  proportion)   c/c' = b/b' b = b' *c/c' b =…

Q: Here are 2 right triangles? Which ratios of side lengths are equal to tan(a)? y ur answer

A: Tan the ratio of opposite and adjacent

Q: Consider the figure below with circles R, C, and D below, where circle R and circle Rare congruent.…

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Q: Given that segment BD and segment CE are diameters, the radius of the circle is 2.12 units, and…

A: Given that segment BD and segment CE are diameters, the radius of the circle is 2.12 units, and…

Q: given that the two triangles are y SIMILAR. 8.9 (If a decimal answer- round it to ONE DECIMAL PLACE)…

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Q: If JK = 5.2, and KL=1.9, how much larger (in degrees) is the measure of angle L than the measure of…

A: Given a right angle triangle

Q: Given scalene right triangle with an acute angle of 65°. h ft 65° 4 ft To the nearest tenth of a…

A: Given, A right triangle with acute angle of 65° Length of legs are 4 ft  and  h ft  We have to find…