Answer the following questions using your knowledge of interior angles of polygons. 1. Find the measure of one interior angle of a regular hexagon. 2. Find the measure of one interior angle of a regular 15-gon. 3. Find the measure of one interior angle of a regular 100-gon.

Q: 4: Find dx of the function y = xsin ¹x + VI-²

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Q: Assume P is the incenter of AHJK. If LP = 4x + 10 and MP = 8x - 2, what is the radius of the…

A: P is incenter of triangle

Q: 7. Quadrilateral MATH with vertices M(-1,8), A(9, 10), T(5,2), and H(- 1, 2) : scale factor k =…

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Q: Sketch the line with slope 3/2 that passes through the point (-4,2)

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Q: Given PQ=24,PS=19,PR=42,TQ=10,m∠PQR=106∘,m∠QSR=49∘, and m∠PRS=35∘. QR=SR=PT= SQ=​ m∠QRS= m∠PQS=…

A: The objective of the question is to find the lengths of the sides and measures of the angles in the…

Q: Find x and y using either the 45-45-90 triangle theorem or the 30-30-60 triangle theorem.

A: The objective of the question is to find the values of x and y in a triangle with angles 30°, y, and…

Q: 60 (10) s.asoslos 4x 2 3y-1\x²

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Q: Graph the line with slope - 2 passing through the point (4, -4). -FO 10 S

A: We have to draw the graph according to given question

Q: The pentagons ABCDE and JKL MN are similar. Find the length x of NJ. B E 4.8 K M 6 4.8

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Q: Suppose in AABC that AB ≈ AC. (Thus ^ABC is isosceles since it has two con- gruant sides Prove that…

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Q: The capacity of a cubical swimming pool is 27,000 liters. Find the depths of the swimming pool.…

A: The capacity of a cubical swimming pool is 27,000 liters.

Q: 9) Find m2JRK. 10) If RJ = 3 and RK = 10, find JK. (*hint: right triangle) 11) If mZGHJ = 90° &…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: 5. Select the statement that does not represent a relationship that exists between the similar…

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Q: 4. Desiree and Lucia went biking at a local state park. From the ranger station, located at point A…

A: Trigonometry

Q: In the following figure, BA CA, and D is on BC. A B D Calculate the length of segment DC if BC is 12…

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Q: A square pyramid has side lengths of 6 yards and a height of 5 yards. An oblique cone has the same…

A: The objective of this question is to find the volume of a square pyramid and the radius of an…

Q: Solve the rational inequality. Write your answer in interval notation. (x+12)(x-4) x-1 >0

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Q: Question (c), (d) and (e)

A: The question is asking to verify the truth of certain vector operations and properties. Let's go…

Q: If f(x) = x + 1 and g(x) = x − 1, (a) f(g(x)) f(x) (b) g(f(x)) = (x+1) (c) Thus g(x) is called an y…

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Q: To drive to the ball game after work, Nick drives 8 miles north and then 15 miles west. How many…

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Q: Find an equation of a sphere if one of its diameters has end-points (2, 1, 4) and (4, 3, 10)

A: To find an equation of a sphere if one of its diameters has end-points .

Q: Square MNOP circumscribes circle Q. Find the area of the shaded region. Round your answer to the…

A: find the area of the shaded region.

Q: 14. Y' (2, -4) is the image of Y after a translation along the vector (-4,-3). What are the…

A: (14) Y'(2,-4) is the image of Y after a translation along the vector . What are the coordinates of…

Q: 60° 60%

A: We know that according to the property the adjacent angles in a parallelogram are supplementry.The…

Q: Given the function P(r) = (r — 7) (r+ 1)(r − 2): the coordinates of its P-intercept are (2,0) the…

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Q: 18. Approximate the area of the triangle below. 7 ft. 3.4 ft.² 2.9 ft.² 2 8 ft. 2 O 5.7 ft.² 2 ft.…

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Q: 5) Find the equation of the plane through the following point that also contains the given line. P =…

A: To find the equation of a plane through a point and parallel to a given line, we can use the…

Q: Solve the equation: k² + 7k+ 37 = 0. Fully simplify all answers, including non-real solutions. -7…

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Q: Let to = 0, t₁ = 0, t₂ = 0, t3 = 1, t₁ = 2, t₁ = 3, t = 4, t₁ =4, and t = 4. Construct open B-spline…

A: The objective of the question is to construct an open B-spline equation with degree d = 2 which…

Q: Find cos(0). D cos (0) 1 2 2√3 4 Ꮎ E 2 F

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Aston is making a wooden picture frame in the shape of a parallelogram. He has two pieces of wood…

A: The objective of this question is to understand how to construct a parallelogram using given lengths…

Q: 3. Find the equation of the median from S. Triangle STU has vertices at S(-6,-3), T(5,4) and…

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Q: live in a town where the streets are straight but are in a variety of directions. On Saturday you g…

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Q: Given that m<MON= x + 41, mLLOM= x + 78, and mLLON = 95°, find the measures of ZMON and ZLOM. L M N

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Q: 1. In your own words, explain the difference between similarity and congruence.

A: Note:-SInce you asked multiple questions, according to our policy we can answer only first question…

Q: drilateral ABCD is a rhombus. If AD=2x+4��=2�+4 and CD=4x–4,��=4�–4, find the va

A: A rhombus is a quadrilateral in which all the four sides are congruent or in other words, equal in…

Q: 15. Find cot (B). с 4 B O cot (B) = 4 Ocot (B) 1 3 O cot (B) = 12 cot (B) = 3 - 12 A

A: We know that the formula is,

Q: 21. If ZO = 8, then TN ?

A: Given that MN is the median of trapezoid ZOID. We have to find TN = ? when ZO = 8.

Q: To complete Part A, Part B, and Part C, use ABC below, where points C and G form CG. Show all work.…

A: The given figure is:Part A :Objective: Find the right term among centroid, circumcenter,…

Q: L E N 1. a radius 2. a diameter 4. a semicircle 3. a chord 5. a minor arc 6. a major arc 7. 2…

A: We have given a figure of a circle and some line segments. Note: According to bartleby guidelines…

Q: 250mm 9mm 250mm

A: To find the inside lenght and width given outside .

Q: Given parallelogram CDEF below, m/DGE = 118°. If m/CGD = (-5x - 8)°, solve for a. E F D

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Q: What is the radius of the circumscribed circle of A ABC? [Α] -6-4-20 O A. 1.3 O B. 4.0 C. 5.6 6TV D.…

A: Toi find the radius of the circumscribed circle of .r

Q: Find the inverse function of f(x) = 16+ √x. 3 f-¹(x) - 16 X X

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Q: In AFHK, m<FKH = (5x + 5), m<KHF = (13x − ZĽ, and m<HFK = (6x + 14)º. a. Solve for x. Show all work.…

A: Consider the figure

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: A C D B e. B A C BC H GF E

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Q: E H F # G

A: In the given diagram,

Q: Complete the proportion: AC HF HG C 84 48 OGF 0 CB O AC O AB A H 72 12 B G 8 14 F

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Q: 8. What is the degree measure of the angle shown below? 180° 45° 132⁰ 144⁰ 455 4π A

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