Given: AD = BC and AC = BD. Prove: AFDC is an isosceles triangle.

Q: 1. Show that if f is a bijection from a set X onto a set Y then f is a bijection from Y onto X.

A: Please post the multiple questions separately. Here I answered question (1) only as per our policy.

Q: 1. If S={1, 2, 3, 4, 5, 6, 7, 8, 9}, and A ={2,4,7,9}, B={1,3,5,7,9} C={2,3,4,5} and D={1,6,7} •…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Given: APOR ~ AGHI; angle bisectors. PS and GJ are PQ PS Prove: GJ GH

A: In this question we will apply the concept of similarity of triangles in order to reach the desired…

Q: Jennifer is proving the Pythagorean theorem. According to the proof writing guidelines, Jennifer…

A: Given,    We need to state whether the statement is true or false.

Q: What does the Theorem of Pappus say?

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Q: Isaac is proving the statement "lf a triangle is equiangular, then it is also equilateral." What…

A: Equiangular triangle is a triangle in which all the three angles are equal. Equilateral triangle is…

Q: Sketch the inverse of the tangent function shown. Label any asymptotes and the y-intercept. |x=-1…

A: The graph for the inverse of the tangent function y = tan x is mirror image about the line y = x.

Q: ines

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Q: A landlord needs to replace the carpet in both the bedrooms of the apartment shown below. What is…

A: We have to find the amount of carpet.

Q: H Given: KGLJ: FK = HL Prove: FGHJ is a . K F G.

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Q: PROOF Statements Reasons 1. BD bisects ZABC 1. 2. MZABD = mZDBC 2. B 3. MZABD + mZDBC 3. = MZABC 4.…

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Q: I forgot who that Father of geometry

A: Euclid, the Greek mathematician from Alexandria is often referred to as the “Father of Geometry"

Q: Give one mathematical conjecture that is about geometry and solve it

A: Conjecture: A conjecture is defined as the expression or formation of an opinion or theory without…

Q: (a) Let S be a set of real numbers with the property that if x1, x2 € S, then the midpoint (x1 + x2)…

A: a) Let S be a set of real numbers with the property that if x1,x2∈S, then the midpoint 12x1+x2 also…

Q: I need help with a and b. I believe part a is correct

A: Solution: a. From the given information, the area under the density curve that lies to the right of…

Q: *The length of one of the sides of a triangle is 1 m, and the measures of the adjacent angles are…

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Q: 7. The dimensions of a triangular prism are shown below. What is the volume of the prism in cubic…

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Q: Complete the proof by using the figure.

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Q: Suppose a triangle has the sides 12, 35, and 37 Determine whether the triangle is acute, obtuse, or…

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Q: 1. Oliver broke the fundamental rule of geometry class, and constructed a circle without first…

A: Answer is mentioned below   Please upvote if you like it.Thank you.

Q: Carefully state the Pythagorean Theorem, and outline a proof

A: Pythagorean theorem: It states that, in a right angled triangle, the square of the larger side of…

Q: geometry

A: Given, Height of the girl= 172 cm Distance of the eye from the top of the head= 12 cm Therefore,…

Q: Problem 1. Prove using a two-column proof. Given: TO = OH, PO = OV, ZITH = ZJHT Prove: PJ = JV H.

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Q: Solve the system of equations x – y + z = 10 2а + 3у — 22 3D — 21 2. 1 5x + FY+ 7% = -; 1 1

A: Given: x-y+z=102x+3y-2z=-2112x+25y+14z=-12

Q: What is the Pythagorean Theorem in deep detail?

A: Solution: The objective is to write the Pythagorean theorem