Given that α = 64◦ and c = 14.3cm in triangle ∆ABC with a right angle at vertex C, approximate the remaining angles and sides to the nearest tenth.

Q: Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest…

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Q: Solve the following problems. Given: AABC, mZA=120°, AB = AC = 1 Find: radius of the circumscribed…

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Q: Given the triangle shown with base b and height h: Assume that b + h = 25; what formula will…

A: Given, base = b Height = h b +h =25  We have to find the area of triangle that will maximize the…

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

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Q: Shown below is the regular 10-sided figure from above along with a related isosceles triangle.…

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Q: 1. In the given prism ABC-DEF, the inclination of the edge AD to the base 30° and its height is 6…

A: The trigonometric ratios, sin, cos, tan, etc. can be expressed in terms of the sides of a…

Q: This problem requires work. Given the side lengths, determine whether the triangle is acute, right,…

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Q: Given parallelogram ABCD, find AC. C 3(2x + 4) 4x +28 E A D O 8 О 30 Previous Pa De

A: Rectangle

Q: The length of the base is and the length of the height is Therefore the area of the triangle is x x…

A: formula:

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1,…

A: Given:

Q: Given isosceles trapezoid ABCD, find a) AC, if BD = 12.3 cm. b) x, if AC = 3(x + 7) and BD = 9(x –…

A: Given: An isosceles trapezoid ABCD.

Q: Given that EF is the midsegment of trapezoid ABCD, what is AB? A В E 9.2 cm 12.6 cm

A: .

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: Show that for a hexagonal geometry, the co-channel reuse ratio, q, is given by the equation レニBN…

A: N = no of cells in the cluster I..e cluster size

Q: Connor decides to increase the number of sides of a random polygon so that the sum of its interior…

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Q: Given Circle 0, AB is congruent to CD, OF = 4x +9, OE = 29. Solve for x. F.

A: Two chords of equal length have an equal distance from the center.

Q: Solve for the missing information, given that the two triangles are SIMILAR. 12 cm 7 cm (If a…

A: Given two similar triangles: Let △ADE~△ACE in which AD=7, DE=10, AC=12, BC=14. To find x and y,…

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: Consider a right triangle with a side of length r opposite angle A, a side of length y opposite…

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Q: In trapezoid ABCD, AB||CD. If mZA= x + 7 and mZD= 2x-1 , find mZD. A B. (Not drawn to scale) Answer:…

A: Given that in a trapezoid AB is parallel to CD and the adjacent sides m∠A=x+7 and m∠D=2x-1. We need…

Q: 0, Find a formula for the area of the triangle whose vertices are in R?. V1, and V2

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Q: Given a Regular pentagon with side length of 6 ft, find the Area by finding the following, what is…

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Q: 12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and. JL = 8x + 35, find x and…

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Q: In ARST, s = 58 inches, ZR=115° and ZS=19°. Find the length of r, to the nearest 10th of an inch.…

A: given,

Q: What relationship, if any, exists between two angles a) with equal measures? b) that have the same…

A: Given that,   Two angles are equal in measure and then we have to find relationship, if any exists.…

Q: The area of circle P equals 12 square units and area of sector APD equai 4 square units. Based on…

A: Given: Area of circle P=12 unit2     Area of sector APD=4 unit2     To find out: Arc AD=? degrees

Q: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

A: If the measures of the acute angles of a right triangle are 2x + 4 and 3x - 9 , then x = ___?

Q: Circle O has a diameter of length 20 cm. Chord AB has length 12 cm, and chord CD has length 10 cm.…

A: Take the right angle triangle OPA and apply the paythagours theorem,…

Q: Dctermine the number of triangles formed given condition.c. q=4 b= 10 LA =45°

A: We  have  to determine the number of traingles  possible with the given conditions.

Q: In the obtuse-angled triangle KLM, LM = 6.1 cm, KM = 4.2 cm and KL^M = 42°. How do i find the area…

A: Topic- area of triangle

Q: The four holes on the I beam shown are equally spaced. Determine the distance, in feet and inches,…

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Q: Now 1. Looking at the roof of Coolidge below, identify any corresponding sides. A

A: We have to find the corrsponding sides

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: Solve the following

Q: A convex octagon has interfor angles with measures (1+55). (3r+20). 4v", (4x- 10Y, (6r - 55). (3x +…

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Q: The exterior angles of a pentagon are (x + 5)°, (2x + 3)°, (3x + 2)°,(4x + 1)° and (5x + 4)°…

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Q: State the number of possible triangles that can be formed using the given measurements. 1) In ASTR,…

A: We use sine law

Q: Treat the measurements in the drawing below as accurate, even though the drawings are intentionally…

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Q: Where e, and ez are the lengths of two corresponding edges of similar prisms or pyramids, the ratio…

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Q: It is known that regular pyramid T.A.C. has an equilateral triangle base side. TA is perpendicular…

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Q: The following is an isosceles trapezoid. If AP = 7.5 feet and PC = 2.3 feet, find the length of the…

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Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 64 –…

A: As given D is midpoint of AB so BD=AB/2 As given E is midpoint of BC so BE=BC/2 Now using property…

Q: In the accompanying diagram of right triangle ABC, CD is drawn perpendicular to hypotenuse AB. If AB…

A: The cosine (cos) of an acute angle in a right triangle is the ratio of the side adjacent of the…

Q: The formula for the circumference C of a circle of radius r is _________ .

A: The formula for the circumference C of a circle of radius r is given by: C=2πr units

Q: In the accompanying diagram of triangle XYZ and triangle ABC, LX LA and ZY LB. If XY = 5, YZ 12, and…

A: Here the two angles of one triangle is congruent with angles of other triangle so we can say that…

Q: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

A: The four sequential sides of a quadrilateral have lengths a=4.9, b=7.1, c=10.4, and d=13.7 (all…

Q: Determine the method by which the triangles shown are congruent. F.

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Q: In a right triangle with sides of lengths a, b, and c (where e is the length of the hypotenuse),…

A: Solution: Consider the given right triangle having sides a, b, and c where c is the hypotenuse. We…

Q: Given s = 9 and h = 22. Find the lateral area of the square prism. S

A: Directly use the formula for lateral area of square prism and substitute the given values than…

Q: Find the measures of the angles of a parallelogram in which a pair of consecutive angles have…

A: Given that pair of consecutive angles of a parallelogram have measures in a ratio of 3 : 7.

Q: We want to build an isosceles triangle with a height of 3 cm and a perimeter of exactly 10 cm. What…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.