A 6-foot-tall mirror is leaned against a wall at an angle. A 5-foot-tall mirror is leaned against the same wall at the same angle. Are the triangles formed between the mirror and the wall congruent?

Q: What is the sum of the interior angles of the polygon pictured below?

A: Interior angel of a polygon is given by : θ = (n-2)×180°

Q: Find the measure of an exterior angle of a regular polygon with 10 sides. (round to the nearest…

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Q: If the interior angle of a regular polygon is 162°, how many sides does it have?

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the perimeter of an isosceles triangle with a base of 8 and a vertex angle of 20 degrees

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Q: Are the triangles similar? If so, which similarity theorem is used?

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Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: The sides of a parallelogram, which measure 7 cm and 17 cm, form an angle of 62 degree. How long is…

A: Given : Parallelogram sides = 7 cm , 17 cm  Angel = 65°

Q: Two boards are resting against each other to form an isosceles triangle with the ground as shown in…

A: Heron's formula A = s(s-a)(s-b)(s-c) Where  a ,b and c are sides of triangle and s is…

Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: Calculate the length of the third side of an isosceles triangle whose apex is 42 degrees and whose…

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Q: Is it possible to draw a triangle whose sides measure 6,7,14?

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Q: What is the measure of each interior angle of a regular hexadecagon(16 sided polygon)?

A: We know that the interior angle of a regular n-sided polygon is n-2×180°n. Using this formula we can…

Q: Consider the figures. Which two triangles are congruent?

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Q: What is the sum of the interior angles of the polygon shown below?

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Q: The diagonals of a non-isosceles trapezoid divide the midline into three segments, whose lengths are…

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Q: If a triangle has no congruent sides, it is called_____?

A: Given:If a triangle has no congruent sides, it is called______

Q: What is the sum of the measures of the interior angles of an octagon?

A: The interior angle of a regular polygon is given by the expression . Here, is the interior angle of…

Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

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Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: What is the measure of an interior angle of a regular polygon with 20 sides? Each angle of a regular…

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Q: If the area of the circle is 360 in?, what is the area of the sector if its central angle measures…

A: The area of a sector of central angle θ and radius r is given by  Area of sector=θ360×πr2Area of…

Q: What is the sum of the measures of the interior angles of a regular polygon?

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Q: What is the measure of one interior angle of a regular 20-gon?

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Q: In an isosceles triangle with vertex angle of 60° and legs 10 m long, the length of the base is____?

A: The vertex angle of the isosceles triangle is 60° and legs are 10 m long. Then the sum of the other…

Q: What is the sum of the interior angles of this octagon?

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Q: Can the sides of a triangle have lengths of 11, 26, and 37? If so, what kind of triangle is it? yes,…

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Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: The ratio of the interior angle to the exterior angle of a regular polygon is 5:2 .Kindly name the…

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Q: triangle

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Q: As the number of sides of a regular polygon increases, does each interior angle increase or decrease…

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Q: An isosceles triangle has an area of 29 cm2, and the angle between the two equal sides is 5π/6. Find…

A: Given,

Q: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: If the exterior angle of a regular polygon measures 15°, how many sides does the polygon have?

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Q: prove that the sum of the interior angles of a triangle ABC is 180 degrees

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Q: Based on the image below, which triangle congruence theorem would prove the triangles congruent?

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Q: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

Q: Can the sides of a triangle have lengths 5, 11, and 14?

A: Given,           The side lengths of the triangle are 5,11 and 14.

Q: whats true about the side lengths and angles for two congruent triangles? How will they look?

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Q: What is the angle measure of each interior angle of a regular polygon with 42 sides?

A: Given, Total number of sides of regular polygon = 42

Q: Which property of similarity can be used to prove triangles LKJ and ZYX are similar?

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Q: What is the sum of the exterior angle measures, one at each vertex, of a triangle?

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Q: In a symmetrical trapezium the inclination angle of the diagonal to the longer parallel base is 45°,…

A: area of trapezium problem.....

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: Congruent triangles are cut out of a square piece of paper 20 cm on a side, leaving a starlike…

A: Given that congruent triangles are cut out of a square having its side 20 cm. Let l be the length as…

Q: Find the area of the parallelogram. 2.4 in 4.4 in 5 in The area is Lin?.

A: we have to find the area of the parallelogram

Q: The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the…

A: To find: The measure of angle formed by two consecutive side. Given: The regular polygon has 12…

Q: What is the measure for each exterior angle for a regular polygon with 200 sides?

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