In a right triangle, the measure of one acute angle is 4 times the difference of the measure of the other acute angle and 5. Find the measure of each acute angle.

Q: the base of the triangle is 5 times the height if the area is 490 square feet then what is the…

A: The formula for finding the area of a triangle is given as : Area = (1/2) x base x height

Q: The measure of the interior angle of parallelogram is 4 times the measure of another angle. What is…

A: This is based on properties of parallelogram

Q: One leg of a right triangle is 2 units longer than the other leg. Find the length of the longer leg,…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: One of two Supplementary angles is 8 times the measure of the other angle. Find both angles.

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Q: The measure of a complement of an angle is 32 degrees more than three times the angle. Find the…

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Q: A rectangular parking lot has a length that is 3 yards greater than the width. The area of the…

A: Let the width of the rectangular parking lot be x yard and then the length of the rectangular…

Q: The length of a rectangular piece of property is 1 foot less than thrice the width and the perimeter…

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Q: The length of a rectangular picture frame is 2 inches more than three times the width. The perimeter…

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Q: The perimeter of a rectangle is 304 cm. The length is 40 cm longer than the width. Find the length…

A: Perimeter of rectangle = 2×{length+width}=304cm So, Length+width=152 cm,

Q: The measure of the vertex angle of an isosceles triangle is 12 more than 5 times the measure of a…

A: Topic = Triangles

Q: The length of the longer leg of a right triangle is22 cm more than six times the length of the…

A: To convert the given word problem into equations and find the sides of the triangle

Q: the lenghts of two sides of a triangle are 4 feet and 7 feet. which could not be the length of the…

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Q: The first leg of a right triangle is 22 cm longer than its second leg. If the hypotenuse has a…

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Q: The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room…

A: Let us denote, A=the amount of paint needed P=perimeter H=height of the room Given that, the amount…

Q: The measure of a supplement of an angle is 8 more than three times the measure of a complement. Find…

A: Given The measure of a supplement of an angle is 8 more than three times the measure of a…

Q: The base of a triangle is one half as long as it's height. If the area of the triangle is 169 square…

A: Given data: The given base of the triangle in terms of its height is b=h/2. The given area of the…

Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

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Q: One leg of a right triangle measures 25, and the length of the hypotenuse is 65. Determine the…

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Q: One leg of a right triangle is 6 millimeters longer than the shorter leg and the hypotenuse is 12…

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Q: The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What…

A: Given:The width of the rectangle is 4 inches greater than half of the length.The…

Q: The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the…

A: Given, The lengths of two sides of a triangle are 4 feet and 7 feet.  We have to find which could…

Q: The base of a triangle is 6 inches more than its height. If the area of the triangle is 36 square…

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Q: The measure of an angle in a triangle is 10° smaller than the largest angle and twice as large as…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: The length of a rectangle is 24 feet more than the width. The perimeter of the rectangle is 88 feet.…

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Q: The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is…

A: Given:The length of a rectangular pool is 4m less than twice the width. Perimeter of pool is…

Q: An angle measures 56° less than the measure of its complementary angle. What is the measure of each…

A: Complementary angles are those whose sum is 90°. Let first angle be 'x' Second angle is 56∘  less…

Q: The height of a triangle is 8 feet more than its base. What are the height and base of the triangle…

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Q: A school playground is in the shape of a rectangle 800 feet long and 400 feet wide. If fencing costs…

A: Length of school playground = 800 feet Width of school playground = 400 feet ∴ Perimeter of the…

Q: The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the…

A: The surface area of the pool is given by Area = 1500 square feet The length of the swimming pool is…

Q: The measure of the largest angle of a triangle is 80° more than the measure of the smallest angle…

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Q: The length of a rectangle sign is 3ft longer than the width. If the sign's area is 54 square feet,…

A: Given thatLength of a rectangle sign is 3ft longer than width.The area of sign is 54 square feet

Q: An angle measures 62° less than the measure of its complementary angle. What is the measure of each…

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Q: The distance around a triangle is 42 centimeters. If two sides are equal and the length of the third…

A: Given that, the perimeter of a triangle is 42 centimeters. It is known that, perimeter of a triangle…

Q: The measure of one interior angles of a parallelogram is 4 times the measure of another angles. What…

A: Let the smaller interior angle be x So, larger angle =4x

Q: The diagonal of a rectangular field is 104 feet. If the width of the field is 40 feet, what is the…

A: To find the area of the rectangular field given that diagonal length is 104 feet and width is 40…

Q: The area of a triangle is 84 square meters. What is the base of the height is 12 meters?

A: Given the area of a traingle is 84 square meters we find base when height is 12 meters

Q: The lengths of the sides of a triangle are (x, 2x, 5x + 4)inches. If the perimeter is 53 inches,…

A: Given: Perimeter = 53 inches     To determine: Value of and lengths of each side.

Q: The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two…

A: Let's find.

Q: A rectangular parking lot has a length that is 3 yards greater than the width. The area of the…

A: Let the width of rectangular parking = x yards Length of the rectangular parking = x+3 yards

Q: The length of a rectangular sign is 3 feet longer than the width. If the sign's area is 54 square…

A: From the given statement, the length is 3 feet longer than the width and area of the rectangle is 54…

Q: The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3…

A: Let the width= x inches So, the length= x+3 inches

Q: the perimeter of a small rectangular garden is 14 feet. if the length is four times the width, find…

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Q: The measure of an angle is twenty-nine times the measure of its complementary angle. What is the…

A: On solving this we will get

Q: The length of the longer leg of a right triangle is 25 inches more than seven times the length of…

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Q: The perimeter of a rectangular garden is 290 feet. If the width of the garden is 53 feet, what is…

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Q: The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the…

A: it is known that the sum of an angle and its supplementary angle is 180°. let angle B is the…

Q: The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and…

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Q: Find two complementary angles if the measure of the large angle is 10 degrees more than the measure…

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Q: The length of a rectangular map is 15inches more than its width. If the area of the rectangle is 225…

A: Given that  The length of a rectangular map is 15inches more than its width. If the area of the…