Written Problem 1: A “twinkle star" (my own name for it) is the set of all satisfying x2/3 + y2/3 = a²1³, where a is a positive real number. See below. a Prove that the perimeter of the twinkle star is 6a.

Q: If B = 8.9, S = 7.8, and F = 9.7 find the area %3D %3D of the parallelogram. Round to the nearest…

A: Given B= 8.9, S=7.8 F=9.7

Q: Let a and b be the leg lengths of a right triangle, and let c be the length of the hypotenuse. If…

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Q: The following diagram can be used in the proof that the sum of the lengths of any two sides of a…

A: Given diagram, The diagram says-->   In right triangle ABC, a point is taken D on the side BC.…

Q: 3. If A, B, Care collinear with B between A and Cand AB = 5x+3 and BC = 3x-1 and AC= 18, what is the…

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Q: Ex 2.6. for sets ASB CC show that C=BU(CIA)?

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Q: Find the measure of all the interior angles of a pentagon. Sx+2 3x+5" Bx-N 4x+15 O.

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Q: If 3 and 4 are the legs of a right triangle, the hypotenuseis ________. (p. A14)

A: Given that two legs of right triangle are 3 and 4. Need to evaluate hypotenuse.

Q: Given a polygon of n≥ 3 sides, the sum of the interior angles within the polygon is given by s n =…

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Q: A circle has a diameter of 28 - A trapezoid has bases x and (x+2) and a height of 4.

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Q: Suppose that the width of certain rectangular is three centimeters less than two times its length.…

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Q: Which of the following would be the criterion for establishing similarity in the two triangles? A)…

A: We have to check

Q: A 45-45-90 triangle whose legs measure 1, has a hypotenuse that measures . O True O False

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Q: If DE = 5, EF = 2x, and DF = 7x, what is EF? %3D %3D %3D 2x 7x

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Q: Prove the following both indirectly in paragraph form and also in a two column formal proof format:…

A: Let ABC be a triangle with sides AB, BC, and CA. Also, M is the mid-point of AB and mc is the median…

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: Why can there be no triangle ABC satisfying A = 140°, a = 5, and b = 7?

A: Why can there be no triangle ABC satisfying A = 140°, a = 5, and b = 7?

Q: The diagram Shaus o quadrilatoral ABCD(not Hmun to suale) in uhi ch A is on è G-is Dis on d x.0xis.…

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Q: J Question 9 of 10 Since a regular hexagon contains no circles, it can be drawn using only a…

A: The solution is given below

Q: If a figure is not a rectangle, then its area cannot be found. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the given statement is  if a figure is not…

Q: In the diagram of A ABC below, points D and E are on sides AB and CB respectively, such that DE ||…

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Q: In AQRS, QS is extended through point S to point T, mZQRS = (x + 8)°, mZRST = (4x + 11)°, and mZSQR=…

A: In ∆QRS:∠QRS + ∠QSR + ∠SQR = 180°.....................................EQ.1And ∠QSR + ∠RST = 180°∠QSR…

Q: Quadrilateral ABCD has vertices at A(6,1), B(2,4), C(-5, 4) and D(-1,1). Find the area. Workspace…

A: Sketch the quadrilateral □ABCD with co-ordinates A6, 1, B2, 4, C-5, 4, D-1, 1 and find its area.

Q: If the area of a square is 2 in.2, then find the length of the square’s diagonal, d

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Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: In AXY Z, the measure of ZXZY is 90°. Also, YZ = 1 cm, XZ = y cm, and hypotenuse XY has length z cm.…

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Q: The triangle that has vertices at M(-4, 0), N(3, –1), and Q(2, 4) has been boxed in, as shown. Find…

A: Given the vertices of  the triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of…

Q: Which of the following would be the criterion for establishing similarity in the two triangles? A)…

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Q: In 2D, the intersection of x=7 and p=1.79 rad is

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Q: Find the length of the diagonal indicated for each trapezoid. SU = 6x -9 RT= x+6 Find SU О 12 O 10

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Q: For what value of x is the quadrilateral a parallelogram 3x 11 x+5

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Q: If DE = x + y, EC = 12, CK = 2x - y, and KD = 3x – 2 y, then %3D y = _ and the perimeter of ODECK =…

A: Here we have given a parallelogram.

Q: If a triangle has side of length x, x+2, and x-4. What is the the perimeter of the triangle in terms…

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Q: In AOPQ, OQ is extended through point Q to point R, MZPQR= (4x – 10)°, m2OPQ = (x +9)°, and m/QOP =…

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Q: If AC = 32, h = 19 and C = 41°, find LAB %3D %3D %3D D. 32

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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: E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area…

A: In triangle ABC, using pythagorus theorem - c2 = a2+b2            .............(1)Semicircle on…

Q: What value is needed to prove the triangles are similar by SAS~? H. 8. X-X K 3 1

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Q: Which of the following sets of numbers could not represent the three sides of a right triangle

A: Since, by Triangle Inequality Theorem, we know that the sum of the length of twosides of a triangle…

Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

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Q: Evaluate Prove that there are exactly three right-angled triangles whose sides are integers while…

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Q: If a triangle has sides of length x, x+2, and x-4, what is the perimeter of the triangle in terms of…

A: Given information- We have given the length of sides of a triangle x, x+2, x-4 We have to find the…

Q: What is the area of circle M if AM =2x +2 and MT = 5x-4? Leave T in the answer. %3D A 2x+2 5x-4 T

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Q: The HL congruence theorem works only for right triangles. O True False

A: The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one…

Q: In AXYZ, mzY = 48, and mzX < mzY. Write the sides of the triangle (XY, YZ, and XZ) in order from…

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Q: BF = Ham AE = 1Sem CF - Hem E.

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

Q: Given: Figure Z4 is supplementary to 22 as shown Prove: 2 LO 4.

A: Given: To prove: ∠4 is supplementary to ∠2.

Q: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of…

A: Area of semi circle having diameter of a is, Aa=πa222Aa=πa28         ...(1)  Area of semi circle…

Q: This is a regular polygon. Solve for x and y. X = degrees y = degrees

A: From the given regular polygon, we have to find the values of x and y

Q: LOUV is a rectangle. If mZLUO = (2w + 3)° and mZV LU = (3w – 1)°, || - find mZLUV. V Answer: MZLUV…

A: Consider the following figure: □LOUV is a rectangle. m∠LUO=2w+3°m∠VLU=3w-1° LO∥UV Segment LU is a…

Q: 2. After finding out that her kitchen does not conform to industry standards, Lashayia is back to…

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