The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of 60∘degrees. Find the length of the longer side. Round to the nearest whole number.

Q: Find the length of the third side. If necessary, round to the nearest tent

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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: The diagonals of a parallelogram are 14 meters and 16 meters and intersect at an angle of 60°. Find…

A: Given the diagonals of a parallelogram are 14 m and 16 m. Diagonals intersect at an angle of 60°.

Q: Find the area of a parallelogram if the two sides measure 24.1 inches and 30.9 inches and the…

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Q: Find the length of the third side. Ifnecessary, rond to the nearest tenth.

A: A triangle in which one of the angles equal 90 degrees is a right angled triangle. The triangle…

Q: What is the perimeter of the parallelogram?

A: Please refer the attached image for complete solution.

Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: To find the length of the radius of the inscribed circle for a right triangle whose legs measure 6…

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: Find the ratio of the perimeters and the areas of the two triangles

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

Q: Calculate the perimeter of a regular pentagon if the length of each side is 17.

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Q: The perimeter of a square is 54cm. Find the length of a diagonal, rounding to the nearest tenth.

A: Let a be the length of each side of square Perimeter of square =4a cm Acc to ques 4a =54 A=54/4…

Q: If the altitude of an isosceles triangle is 59 centimeters and each of the two equal angles measures…

A: Given that  The altitude of an isosceles triangle is 59 centimeters and each of the two equal angles…

Q: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

A: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: We can solve the problem by using the Pythagoras theorem and the formula for incribed circle radius

Q: Find the area of a parallelogram if the two sides measure 23.5 inches and 29.4 inches and the…

A: Representing the given information in the diagram we get We knw that Area of parallelogram S= bh…

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: Find the area of a parallelogram if the two sides measure 25.4 inches and 28 inches and the shorter…

A: Given that the two sides measure of parallelogram are 25.4 inches and 28 inches and the shorter…

Q: In a 4' by 28.8' room, what is the diagonal length from corner to corner along the floor?

A: Use the Pythagoras theorem as floor's sides and diognal form right triangle.

Q: Find the value of the angle 5x. 4x + 42° 6x 5х

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Q: Find the area of an isosceles triangle whose sides are 6 and 9

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Q: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

Q: Find the area of an equilateral triangle with side 12.

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Q: Find the length of the third side. If necessary, round to the nearest

A: Given that:

Q: Two sides of a parallelogram are 8 meters and 5 meters, and one of the angles is 60°. Find the…

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Q: And the of 8t and angle of &215°

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Q: The cross section of a silo is composed of an equilateral triangle, a square, a trapezoid and a…

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Q: Solve for the sum of the angles and measure of a single angle in a regular 15-sided polygon.

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Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: Find the perimeter and area of an equilateral triangle whose all sides are 34 inches.

A: Given that, an equilateral triangle whose all sides are 34 inches. That is:

Q: To find the area of a triangle given two sides and the angle between them, multiply______ the…

A: Consider a triangle with sides a,b and let θ be the angle between them. The area is given by A=ab2…

Q: The measure of the vertex angle in an isosceles triangle is 129 degrees. What is the measure of the…

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Q: Find the exact length of the third side.

A: We have to find the length of third side.

Q: Find the length of the indicated side.

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Q: Find the length of the inradius of a triangle with side lengths, 5,5, and 8.

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Q: A diagonal of a parallelogram makes angles of 32o and 43o respectively with the sides.If the…

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Q: Two sides of a parallelogram are 50 cm and 70 cm long. Find the length of the shorter diagonal if a…

A: Given: Two sides of the parallelogram are 50 cm and 70 cm.

Q: The lengths of the shorter altitude and the shorter side of a parallelogram are 9 cm and 82 cm,…

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Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: Find the complement of an angle whose measure is 38 degrees and 11 minutes

A: Here problem is to find the complement of an angle

Q: The sum of the interior angles of a polygon is 540 degrees. Find the number of sides of the polygon.

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Q: if the sides of the parallelogram and the includedangles are 8m, 12m, and 120 degrees, respectively.…

A: Given: Sides of the parallelogram and the included angles are 8m, 12m, and 120 degrees

Q: Find the complement of the supplement of an angle measuring 175°.

A: Given, angle

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

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Q: Find the length of the third side. If necessary, round to the nearest tentl:

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Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

Q: If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet…

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Q: Find the length of the third side to the nearest tenth?

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Q: Find the area of a triangular lot having two sides of lengths 90 meters and 52 meters and an…

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Q: Springdale Street and Danville Avenue intersect. If Springdale Street is 9 meters wide and Danville…

A: Springdale Street is = 9 meters wide and Danville Avenue  is =12 meters wide