The sides of a rectangle are 25 cm and 8 c. What is the measure, to the nearest whole degree, of the angle formed by the short side and a diagonal of the rectangle?

Q: If the measures of the angles of a triangle are in the ratio 1:2:3. are the lengths of the sides in…

A: The measure of the angles of a triangle are in the ratio of 1:2:3   We know that the sum of all…

Q: The sum of the interior angle measures of a polygon is 3,420°. How many sides does the polygon have?

A: Given, The sum of the interior angle measures of a polygon is 3,420°. To find: the number of sides…

Q: If an angle has a measure of 155°, what is the measure, in degrees of an angle that is supplementary…

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Q: Find the missing side length and angles of AABC given that mZB = 59°, a = 10, and c = 12.

A: Recall:  Cosine Rule:    b2=a2+c2-2ac cosB ⇒b=a2+c2-2ac cosB We have, a=10, c=12, B=59°

Q: What is the measure of the exterior angle of a triangle if the two interior angles opposite it would…

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Q: The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the…

A: Given that,   The ratio of the measures of the three angles in a triangle is 14:5:11   Suppose that…

Q: What are the angles of a triangle having sides of length 6 ft, 4 ft and 5ft?

A: The given sides of the triangles area=6 ftb =4 ftc = 5 ft

Q: A quadrilateral has two angles that measure 317° and 13°. The other two angles are in a ratio of…

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Q: Find the missing side length and angles of AABC given that mLA = 41°, b = 4, and c = 10. B 10 41° а

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Q: What is the smallest and the biggest angles of a triangle whose sides are 26 cm, 18 cm and 24 cm…

A: Given the sides of a triangle a=26cm, b=18cm, c=24cm The triangle diagram is as follows         Here…

Q: In a regular decagon, the sum of the measures of the exterior angles is ? and the measure of each…

A: As we know, A decagon has ten sides. The sum of the measures of the exterior angles of a polygon is…

Q: A land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long and 513…

A: Given, a land bought by the Dela Cruz sisters were in the form of a triangle with sides 392 m long…

Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: What is the sum of the interior angle measures of a regular 24-gon?

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Q: What is the sum of the measures of the interior angles of a 27-gon 4860° O 4500° 5220° O166.7°

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Q: 2 One side of a triangular lot is 100 ft and the angle opposite this side is 55°. Another angle is…

A: Given that: One side of a triangular lot is 100ft and angle opposite is 55°. Other angle is 63°

Q: The ratio of the interior angle of a triangle is 3:4:5, if its perimeter measures 40 cm. Find the…

A: Let's find.

Q: two supplementary angles are in a ratio of 11:7. Find the complement of the smaller angle.

A: Consider the given information ,two supplementary angles are in the ratio of 11:7

Q: Find the measure of each interior angle of a 33-gon. Round to the nearest tenths place. What is the…

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Q: 3. The length of the side opposite the 30° angle of a 30 – 60 – 90 triangle is 323 ft. Determine the…

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Q: The interior angle of a regular polygon is twice the exterior angle. How many sides have the…

A: The interior angle of a regular polygon is twice the exterior angle .

Q: If the measure of one of the interior angle of a regular polygon is 40° how many sides does the…

A: Nine sides If this is the exterior angle,then number of sides = 8  If this is the interior angle…

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: The length of the base of an isosceles triangle is 6 cm and the adjacent corner is 75 degrees. What…

A: Given that length of the base of an isosceles triangle is 6 cm and the adjacent corner is 75…

Q: 3. The length of the side opposite the 30 angle of a 30-60-90 triangle is 323 ft. Determine the…

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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: Three pieces of steel angle are welded to form a triangle.  If two pieces are welded at a 53.0°…

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Q: A parallelogram has sides of lengths 4 and 6, and one angle is 33°. What is the length of the…

A: This question is based on Cosine formula.

Q: A piece of land is in the shape of triangle in which two sides are 12 m and 14 m. If the angle…

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Q: If the measures of the angles of a quadrilateral are in the ratio 3:4:5:6, find the measure of each…

A: Measures of angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Let the angles be 3x, 4x, 5x…

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

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

Q: if triangle AED is equilateral (24 cms each side), and we know m angle BAC + m angle DAE = 160…

A: The required area is given by total area=area of the sector BAC+area of equilateral triangle DAE.…

Q: The central angle of a circle measures 100 degrees, while the area of the sector including that…

A: The central angle of a circle measures 100° and the area of the sector including that angle is 40π.…

Q: In ΔABC, given that <A = 23 degrees, <C = 78 degrees, and AB=15 cm, what is the length of side BC?

A: Given

Q: The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is…

A: Let the length and the breadth of the rectangle be l and b.   Then we have,…

Q: What is the measure of one interior angle of a regular 200-gon?

A: To find what is the measure of one interior angle of a regular 200-gon?

Q: In the preceding isosceles triangle, angle P is congruent to angle Q. If angle P has a measure of 53…

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Q: he area of a lune is 30 sq. m. If the area of the sphere is 120 sq. m. What is the angle of the…

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Q: What is the smallest and biggest angles of triangle whose side are 26cm, 18cm and 24cm long?

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Q: The ratio of the measures of the three angles of triangle are 3:6:1. 1. Find the actual measurement…

A: Given,   Angles are in the ratio = 3:6:1   Let the angles be 3x, 6x, x Sum of angles =180…

Q: hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X?

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Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone is 5 in and the altitude of the cone is 7…

Q: If two angles of an isoceles triangle measures 35 degrees and the base of the triangle is 18-feet,…

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Q: n parallelogram ABCD, if the measure of angle A=57, which diagonal (AC or BD) would have greater…

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Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

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Q: The angles of a triangle are in the ratio 2:3:4. What is the measure of the smallest angle?

A: Let x be the common ratio of the angles.   Thus, the angles of the triangle are 2x, 3x and 4x.…

Q: Ana wants a wrap a conical candle that has a radius of 5.9cm, a height of 7.3cm, and a slant height…

A: Given: radius(r)=5.9cm slant height(l)=9.4cm To find the amount of wrapping paper Ana needs, we need…

Q: 2. Find the base and the altitude of an isosceles triangle if one of the equal sides is 5.21cm and…

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Q: In a triangle ABC, side a is 18cm long, side b is 10cm long and angle B is 89°. What is the measure…

A: Given: In △ABCA=18 cmB=10 cm∠B=89° The sine law of Triangles states that in △ABC, AsinA=BsinB=CsinC.…