1. If x, x + 3, and y are the lengths of the sides of a triangle, then 2 < y< _?_.

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: 2 5/6 How can it be proven that a pair of corresponding angles are congruent? Select and drag the…

A: Given : The line r is parallel to t

Q: Which of the following is a consequence of Elliptic geometry? O The sum of the angles of a triangle…

A: In an elliptic geometry . sum of angles of a triangle is always greater then pi. I.e. if a,b,c be…

Q: 6. Clara claims "all obtuse triangles are similar." Which statement best describes Clara's claim? A.…

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Q: 3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C…

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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--&gt;   In right triangle ABC, a point is taken D on the side BC.…

Q: 6. If two polygons are SIMILAR, then the corresponding angles must be (A) supplementary (B]…

A: if two polygons are similar then their  corresponding sides are in the same ratio  and the…

Q: Choose SSS, SAS, or neither to compare these two triangles. SSS SAS neither

A: The explanation of the solution as follows:

Q: 7.10 Suppose that a line l contains a point D that is in the inside of a triangle ABC. Then show…

A: Given that a line l contains a point D that is in the inside of a triangle ABC.

Q: ponding parts of congruent triangles require a knowledge that two triangles are congruent if their…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In Circle O, is a diameter, is a secant, and  is a tangent. If the measure of arc DC is 3 less than…

A:

Q: If 4, 6, and 10 and 14, 21, and x are the lengths of the corresponding sides of two similar…

A: Similar triangles are related so you have to relate the sides to each other. Easiest method of…

Q: 5. Suppose AABC is a triangle and l is a line such that none of the vertices A, B, or C lies on l.…

A: Find your answer below

Q: 23. Find the area of the triangle having vertices at (0, 2, 2). (8., 8, -2), and (9. 12. 6).

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Q: 4 Find the sum of the measures of the interior angles in a 48-gon. 2/1

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Q: 5. State the postulate or theorem you can use to prove the pair of triangles congruent.

A: Given,            The pair of triangles are shown below :           To show : State the postulate…

Q: ? 14 yd Y 3 yd

A: See attached file for a step by step explanation.

Q: O Find the sum of the measures of the interior angles of a convex 20-gon.

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Q: triangle MNP is formed by arranging three squares.   Which statement must be true for triangle MNP…

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Q: 1. What must be true in order for triangles DEF and ABC to be similar? Be very specific about the…

A: Similar triangle property

Q: 53. Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the…

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Q: 15. How many non-congruent triangles ABC can be formed if AB = 5, A = 60, and BC = 8? %3D A. One B.…

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Q: If two polygons are similar, then the corresponding angles must be _____ and the corresponding sides…

A: 2 objects are said to be similar if they have the same shape but not necessarily the same size. For…

Q: In AUVW, UW is extended through point W to point X, mZWUV = (3x – 4)°, mZVWX = (6x + 6)°, and mZUVW…

A: According to given problem we have construction below

Q: Dctermine the number of triangles formed qiven condition.s. 9=10 b-10 LA= 45°

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Q: 3. If AB=20, BC=6, and CD=8, find the value of x. Figure is not drawn to scale. X

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Q: 3. Show that if A = 3a, + 2a, – a, B = 4a, – 8a, – 4a, and C = 7ax – 6a, – 5a,, then A, B and C form…

A:

Q: In Circle O, is a diameter, is a secant, and  is a tangent. If the measure of arc DC is 3 less than…

A:

Q: A, B, and C are three points on a line. AC = 8, BC = 4, and AB = 12. Which point must be between the…

A: Given,           A, B, and C are three points on a line. AC=8, BC=4, and AB=12.

Q: A) Which of the following triplets are possible lengths of line segments that could form a triangle…

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Q: 7. Which of the following cannot be the measure of an interior angle of a regular polygon?

A: To check: If the given angles belongs to a regular polygon or not.

Q: 7. If a triangle is also called a complete 3- point, a quadrangle a complete 4-point, etc., then the…

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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: According to the Triangle Inequality Theorem, which of the following sets can represent the sides of…

A: as per triangle inequality theorem The sum of the lengths of any two sides of a triangle is greater…

Q: Two triangles are similar, and the ratio of each pair of corresponding sides is 2:1. Which statement…

A: Option 4 is not true.  If two triangles are similar than their sides in same ratio.  Area = base…

Q: If A is (6,1) and C is (2, -7) and AB is 1/3 of AC what is point B

A:

Q: 27. Show that a triangle with vertices at (3, 5), (3, 2), and (2, 5) is a right triangle.

A: If we can prove that above triangle satisfies Pythagoras theorem then we can say that above triangle…

Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

A: 5. The given statement is false .

Q: If a triangle has a longest side, then that longest side is adjacent to each of the two shorter…

A: Answer:  the answer with reason of following question is written below :

Q: Give all possible integer values of x so that a pentagon with interior angle measures in the ratio…

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Q: 9. The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each…

A: Answer is True.

Q: 7. Place an X in the table to show whether each set of side lengths describes a 30°-60°-90°…

A: This question is related to triangles, we will solve it using given information.

Q: If all three perpendicular bisectors are drawn in the triangle below, where will they intersect? O…

A: The point at which all three perpendicular bisector of sides of a triangle meet is called…

Q: 7. ASTU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x,…

A: Equilateral triangle

Q: . Consider the following triangles. 60° 2 11 3 30 17 2 17 V3

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Q: In a 30-60-90 right triangle, if the measure of the hypotenuse is 4, find the distance from the…

A: Given problem:- In a 30-60-90 right triangle, if the measure of the hypotenuse is 4, find the…

Q: S dan?, x Seck olx

A: We will solve the problem

Q: 15. How many non-congruent triangles ABC can be formed if AB = 5, A = 60, and BC = 8? %3D A. None B.…

A:

Q: 5. If two chords in circle O, MN and XY, intersect at P then MPX = 2( MX + NY). 6. If two chords…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 1. Find the orthocentre of the triangle with vertices at P(-3, 4), Q(10, -3), and R(3, -2).

A: Ortho center of a triangle is the point where all the altitudes of the triangle meets. That point of…