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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Determine the measure of the angle. In the figure, ∡ABC makes an angle of 125° with the floor and l1 and l2 are parallel.m∡GBC B G
A triangle can be formed by drawing line segments on a map of Illinois connecting the cities of Rockford, Chicago, and Bloomington (see figure below). If the actual distance from Chicago to Rockford
A triangle can be formed by drawing line segments on a map of Minnesota connecting the cities of Austin, Rochester, and St. Paul (see figure below). If the actual distance from Austin to Rochester is
The legs of a picnic table form an isosceles triangle as indicated in the figure. If m∡ABC = 80º, determine m∡x and m∡y so that the top of the table will be parallel to the ground. х, 80°
Steve is buying a farm and needs to determine the height of a silo on the farm. Steve, who is 6 ft tall, notices that when his shadow is 9 ft long, the shadow of the silo is 105 ft long (see
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.m∡A'D'C' C' D' 10 _B 50° 130° 11 9. 70° A' B'
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.m∡DAB C' D' 10 _B 50° 130° 11 9. 70° A' B'
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.∡BCD C' D' 10 _B 50° 130° 11 9. 70° A' B'
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.The length of side A̅'B̅' C' D' 10 _B 50° 130° 11 9. 70° A' B'
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.The length of side B̅'C̅' C' D' 10 _B 50° 130° 11 9. 70° A' B'
Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A'B'C'D'.The length of side A̅D̅ C' D' 10 _B 50° 130° 11 9. 70° A' B'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.m∡A'C'B' A' B 33 18 78° B' 31° 34 A- C'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.m∡ACB A' B 33 18 78° B' 31° 34 A- C'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.m∡ABC A' B 33 18 78° B' 31° 34 A- C'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.The length of side B̅’C̅’ A' B 33 18 78° B' 31° 34 A- C'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.The length of side A̅’C̅’ A' B 33 18 78° B' 31° 34 A- C'
Find the length of the sides and the measures of the angles for the congruent triangles ABC and A'B'C'.The length of side A̅B̅ A' B 33 18 78° B' 31° 34 A- C'
Triangles ABC and DEC are similar figures. Determine the length ofSide B̅E̅ B 3.
Triangles ABC and DEC are similar figures. Determine the length ofSide A̅D̅. B 3.
Triangles ABC and DEC are similar figures. Determine the length ofSide D̅C̅ B 3.
Triangles ABC and DEC are similar figures. Determine the length ofSide B̅C̅ B 3.
The figures are similar. Find the length of side x and side y. х 15 24 45 12
The figures are similar. Find the length of side x and side y. B' A' 17 B 22.5 18 C' D D' 16
The figures are similar. Find the length of side x and side y. A' B' 36 27 B х 12 C' F' y 15 E' D'
The figures are similar. Find the length of side x and side y. 9. 15 A' B' D х C' D' 10
The figures are similar. Find the length of side x and side y. B B' 50 х 12 C' 40 A' 20
The figures are similar. Find the length of side x and side y. B 40 B' 25 10, 50 C' х A'
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Dodecagon.
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Decagon.
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Nonagon.
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Hexagon.
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle.Quadrilateral.
(a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Triangle.
Determine the sum of the measures of the interior angles of the indicated polygon.Icosagon.
Determine the sum of the measures of the interior angles of the indicated polygon.Dodecagon.
Determine the sum of the measures of the interior angles of the indicated polygon.Decagon.
Determine the sum of the measures of the interior angles of the indicated polygon.Nonagon.
Determine the sum of the measures of the interior angles of the indicated polygon.Heptagon.
Determine the sum of the measures of the interior angles of the indicated polygon.Pentagon.
Lines l1 and l2 are parallel. Determine the measures of ∡1 through ∡12. 45 59° 6/70° 9/10 11\12
Lines l1 and l2 are parallel. Determine the measures of ∡1 through ∡12. 3 8, 50° 40° 10 11 12
Find the measure of ∡x. 35° 30°
Find the measure of ∡x. 105° (133°
Find the measure of ∡x. 57° 27
Find the measure of ∡x. 38° 131° х
Identify the quadrilateral.
Identify the quadrilateral.
Identify the quadrilateral.
Identify the quadrilateral.
Identify the quadrilateral.
Identify the quadrilateral.
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral and as (b) Acute, obtuse, or right. The parallel markings (the two small parallel lines) on two or more
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
Identify the triangle as (a) Scalene, isosceles, or equilateral.(b) Acute, obtuse, or right.The parallel markings (the two small parallel lines) on two or more sides indicate that the marked
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
(a) Name the polygon. If the polygon is a quadrilateral, give its specific name.(b) State whether or not the polygon is a regular polygon.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of the measures of the interior angles of a quadrilateral is __________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If the corresponding sides of two similar figures are the same length, the figures are called __________ figures.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of the measures of the interior angles of a triangle is _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two polygons are similar if their corresponding angles have the same measure and the lengths of their corresponding sides are in
Fill in the blanks with an appropriate word, phrase, or symbol(s).A polygon whose sides are all the same length and whose interior angles all have the same measure is called a(n) _________ polygon.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A closed figure in a plane determined by three or more straight line segments is called a(n) ________.
Assume that Sunday is represented as day 0, Monday is represented as day 1, and so on. If today is Thursday (day 4), determine the day of the week it will be in the specified number of days. Assume
Fill in the blanks with an appropriate word, phrase, or symbol(s).To determine the value that 45 is congruent to in modulo 7, we _____________ 45 by 7 and determine the remainder.
The cost of walnut hardwood flooring is $11.99 per square foot if Nancy installs the flooring herself or $15.99 per square foot if she has the flooring installed by the flooring company. Deter-mine
One square meter equals 10,000 cm2. Use this information to convert the following.8732 cm2 to square meters.
One square meter equals 10,000 cm2. Use this information to convert the following.6586 cm2 to square meters.
One square meter equals 10,000 cm2. Use this information to convert the following.0.75 m2 to square centimeters.
One square meter equals 10,000 cm2. Use this information to convert the following.9 m2 to square centimeters.
One square yard equals 9 ft2. Use this information to convert the following.48.1 yd2 to square feet.
One square yard equals 9 ft2. Use this information to convert the following.13.5 yd2 to square feet.
One square yard equals 9 ft2. Use this information to convert the following.396 ft2 to square yards.
One square yard equals 9 ft2. Use this information to convert the following.99 ft2 to square yards.
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 24 mm
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 12 mm
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 8 m 6 m 10 m
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 20 in. 4 in. 9 in.
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 4 cm 16 cm
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 11 yd 9 yd 10 yd -18 yd-
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. -10 in.- 20 in. - 30 in.
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. - 4 in. - 4 in.
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. - 5 in.– 10 in.-
Determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 3 ft
(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle.(b) Determine the perimeter of the triangle.(c) Determine the area of the triangle. 10 in. 8 in.
(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle.(b) Determine the perimeter of the triangle.(c) Determine the area of the triangle. 13 km 5 km
(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle.(b) Determine the perimeter of the triangle.(c) Determine the area of the triangle. 24 cm 10 cm
(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle.(b) Determine the perimeter of the triangle.(c) Determine the area of the triangle. 15 yd 8 yd
Determine(a) The area.(b) The circumference of the circle.Use the π key on your calculator and round your answer to the nearest hundredth. 16 yd
Determine(a) The area.(b) The circumference of the circle.Use the π key on your calculator and round your answer to the nearest hundredth. 13 ft

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