3) What is the length of the side of a square if the length of the diagonal is 32cm? 4) A square has an area of 9 sq.m and has a perimeter which is equal to the perimeter of an equilateral triangle. What is the area of the equilateral triangle? 5) In right triangle ABC with LC as the right angle. If AB = 6x-1, BC=4x+6 and AC=2x+1, what is the value of x? %3D

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

Q: 2. Where is the circumcenter of an obtuse triangle located? on one of the legs on the hypotenuse…

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Q: 4. In quadrilateral RSTU, the diagonals bisect each other. Which of the following could NOT be RSTU?…

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Q: - equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting…

A: let the length of the lots =L and breadth of the lots= x area of the lots = L×x It is given that…

Q: Can a right triangle be constructed whose sides measure (show work): 22) 9m, 12m, 15m 23) 5ft, 12ft,…

A: 22) Yes, that is possible, cf. the converse Pythagorean theorem, which says that any triangle with…

Q: By using the definitions of equilateral triangle (a triangle with three congruent sides) and of…

A: A equilateral triangle is a triangle whose all three sides are equal. The perimeter of a triangle is…

Q: A rhombus can be divided by its diagonals into four 3-4-5 right triangles. What is its area?

A: To find the area of rhombus

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A: Pigeonhole Principle: If n pigeonholes are occupied by n+1 or more pigeons, then at least one…

Q: if AP = 7, of the radius 7. Bc = (0 and Ac - 9, find 15. %3D %3D carch cirde

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: 5. In the general quadrilateral ABCD of area 96 m²., the sum of the lengths of the two opposite…

A:

Q: 7. Given that a triangle is equilateral, prove that one of its angle bisectors bisects the triangle.

A:

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: The sides of an isosceles triangle are 10 and 16 m. (base). What is the length of the equal sides of…

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Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the perimeter of the…

A: Step: 1 Equilateral Triangle:- A triangle, in which every sides all three sides have the same…

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the length of each…

A: Given that △ABC is an equilateral triangle. Hence, all the three sides of △ABC will be of equal…

Q: The sides of the pair of angles are parallel. Are 23 and Z4 congruent? 3

A: Given, the sides of the pair of angles are parallel.

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: 4. A house is 5.8 m wide. The roof is being designed by an architect so that one side will be longer…

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Q: in equilateral triangle CME, MB is an altitude and DE is an angle bisector. if BE=27-5x and DM=5x-3,…

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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: 2. What is the perimeter of a 30°- 60°- 90° Right Triangle, whose shorter leg is 7 inches long?…

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Q: other, what are the lengths of the diagonals to the nearest tenth of a centimeter? 16. A trapezoid…

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Q: Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37…

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Q: A rhombus has sides of length 44 units and interior angles of 120 degrees and 60 degrees. How long…

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Q: A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a…

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Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: According to guidelines we can solve only first question.Upload remaining again.

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

A:

Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals

Q: An equilateral triangle has sides that measure 3x - 2, 2x + 1, and 5x - 8. What is the length of…

A: sides of the equilateral triangle are equal.

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: Given: Area of the factory is equal to the area of the lawn. The dimension area of the place where…

Q: Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid…

A: Rhombus; because the diagonal bisects a pair of opposite angles. Also, by ASA and the converse of…

Q: An altitude of an equilateral triangle has length 6\/3 . What is the perimeterof the triangle?

A: An altitude of an equilateral triangle has length 63. What is the perimeterof the triangle?…

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

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Q: Prove the Pythagorean Theorem with Similar Triangles using a two-column proof.

A: To Prove the Pythagorean Theorem with Similar Triangles using a two-column proof

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Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

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Q: 2. Is a triangle that has sides with lengths of 24 kilometers, 45 kilometers, and 51 km, acute,…

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Q: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

A: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

Q: A trapezoid of height is 12 meters, has 22 meters lower base, and an area of 180 square meters,…

A: A trapezoid of height is 12 meters, has 22 meters lower base, and an area of 180 square meters,…

Q: Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA,…

A: Let's find.

Q: A rhombus has sides of length 44 cm and interior angles of 120 degrees and 60 degrees. How long are…

A:

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A:

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Please refer to the image below.

Q: A rectangle has dimensions 10 cm by 5 cm .Determine the measures of the angles at the point where…

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: om the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a…

A: Given that an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.