> Identify the figure as a line, half line, ray, line segment, open line segment, or half open line segment. Denote the figure by its appropriate symbol.
> Angles on a Picnic Table The legs of a picnic table form an isosceles triangle as indicated in the /
> Identify the figure as a line, half line, ray, line segment, open line segment, or half open line segment. Denote the figure by its appropriate symbol.
> Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A(B(C(D(. /
> Suppose you have three distinct lines, all lying in the same plane. Find all the possible ways in which the three lines can be related. There are four cases. Sketch each case.
> Determine the length of the sides and the measures of the angles for the congruent quadrilaterals ABCD and A(B(C(D(.
> If lines l and m are parallel lines and if lines l and n are skew lines, is it true that lines m and n must also be skew? (Hint: Look at Fig. 8.5 on page 439.) Explain your answer and include a sketch to support your answer.
> 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
> (a) Will three noncollinear points A, B, and C always determine a plane? Explain. (b) Is it possible to determine more than one plane with three noncollinear points? Explain. (c) How many planes can be constructed through three collinear points? (d) Draw
> 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(
> Determine (a) the area and (b) the perimeter of the quadrilateral.
> What is the intersection of two distinct nonparallel planes?
> Find the length of the sides and the measures of the angles for the congruent triangles ABC and A(B(C(.
> Determine whether the statement is always true, sometimes true, or never true. Explain your answer. A triangle contains two obtuse angles.
> Find the length of the sides and the measures of the angles for the congruent triangles ABC and A(B(C(.
> Alternate exterior angles are supplementary angles. Determine whether the statement is always true, sometimes true, or never true. Explain your answer.
> Triangles ABC and DEC are similar figures. Determine the length of /
> A triangle contains exactly two acute angles. Determine whether the statement is always true, sometimes true, or never true. Explain your answer.
> Triangles ABC and DEC are similar figures. Determine the length of
> The figure below suggests a number of lines and planes. The lines may be described by naming two points, and the planes may be described by naming three points. Use the figure to name the following. Many answers are possible. A line and a plane whose int
> The figures are similar. Find the length of side x and side y.
> For each inequality, determine whether (-2, 4) is a solution to the inequality. (a) 4x - 2y < -10 (b) 4x - 2y (-10 (c) 4x - 2y >-10 (d) 4x - 2y ( -10
> The figure below suggests a number of lines and planes. The lines may be described by naming two points, and the planes may be described by naming three points. Use the figure to name the following. Many answers are possible. Three planes whose intersect
> The figures are similar. Find the length of side x and side y.
> The figure below suggests a number of lines and planes. The lines may be described by naming two points, and the planes may be described by naming three points. Use the figure to name the following. Many answers are possible. Two planes that intersect at
> The figures are similar. Find the length of side x and side y.
> The figure below suggests a number of lines and planes. The lines may be described by naming two points, and the planes may be described by naming three points. Use the figure to name the following. Many answers are possible. Two parallel lines
> (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
> The angles are supplementary angles. Determine the measures of
> (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
> The angles are supplementary angles. Determine the measures of
> (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
> Graph the solution set of the inequality, where x is a real number, on the number line. x - 8 ( -9
> The angles are complementary angles. Determine the measures of
> Determine the sum of the measures of the interior angles of the indicated polygon. Icosagon
> The angles are complementary angles. Determine the measures of
> Determine the sum of the measures of the interior angles of the indicated polygon. Decagon
> Parallel lines are cut by the transversal shown. Determine the measures of
> Determine the sum of the measures of the interior angles of the indicated polygon. Heptagon
> Parallel lines are cut by the transversal shown. Determine the measures of
> Lines l1 and l2 are parallel. Determine the measures of 1
> Modeling—Supplementary Angles If
> Find the measure of x
> x + 2y = 6 x - y = -6 (-2, 4) (2, 2) (3, -9)
> Modeling—Complementary Angles The difference between the measures of two complementary angles is 22°. Determine the measures of the two angles.
> Find the measure of x
> Match the descriptions of the angles with the corresponding figure in parts (a)–(f). Alternate interior angles
> Identify the quadrilateral.
> Match the descriptions of the angles with the corresponding figure in parts (a)–(f). Corresponding angles
> Match the descriptions of the angles with the corresponding figure in parts (a)–(f). Complementary angles
> Identify the quadrilateral.
> Determine the supplementary angle of the given angle. Answer: 180( -64
> 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 sides indicate that the marked sides are of equal length.
> The age of a car, up to 8 years old, and the value of a car Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.
> Determine the supplementary angle of the given angle. 148.7°
> 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 sides indicate that the marked sides are of equal length.
> Determine the supplementary angle of the given angle. 134°
> 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 sides indicate that the marked sides are of equal length.
> Determine the complementary angle of the given angle. 0.01°
> 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 sides indicate that the marked sides are of equal length.
> Determine the complementary angle of the given angle.
> (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.
> Determine the complementary angle of the given angle. 29(
> Use the figure to determine the following:
> Determine (a) the area and (b) the perimeter of the quadrilateral.
> Classify the angle as acute, right, straight, obtuse, or none of these angles.
> Match the given prefix with the one letter, a)–f), that gives the meaning of the prefix. Deka a) 1/100 of base unit b) 1/1000 of base unit c) 100 times base unit d) 1000 times base unit e) 10 times base unit f ) 1/10 of base unit
> Classify the angle as acute, right, straight, obtuse, or none of these angles.
> Match the given prefix with the one letter, a)–f), that gives the meaning of the prefix. Kilo a) 1/100 of base unit b) 1/1000 of base unit c) 100 times base unit d) 1000 times base unit e) 10 times base unit f ) 1/10 of base unit
> Classify the angle as acute, right, straight, obtuse, or none of these angles.
> Large and Small Numbers One advantage of the metric system is that by using the proper prefix, you can write large and small numbers without large groups of zeros. In Exercises 69–74, write an equivalent metric measurement without using any zeros. For ex
> Use the figure to determine the following.
> Large and Small Numbers One advantage of the metric system is that by using the proper prefix, you can write large and small numbers without large groups of zeros. In Exercises 69–74, write an equivalent metric measurement without using any zeros. For ex
> Use the figure to determine the following.
> Large and Small Numbers One advantage of the metric system is that by using the proper prefix, you can write large and small numbers without large groups of zeros. In Exercises 69–74, write an equivalent metric measurement without using any zeros. For ex
> Determine whether the graph represents a function. If it does represent a function, give its domain and range.
> Use the figure to determine the following.
> Tennis Stadium This photo taken at the Roland Garros Tennis Stadium in Paris shows the distances from the Roland Garros Stadium to tennis stadiums where the other three grand slams of tennis are played. a) How much farther is Melbourne Park (in Australia
> Use the figure to determine the following.
> Track and Field A high school has a 400-m oval track. If Patty runs around the track eight times, how many kilometers has she traveled?
> Use the figure to determine the following.
> Framing a Painting A painting, including the frame, measures 74 cm by 99 cm. a) How many centimeters of framing were needed to frame the painting? b) How many millimeters of framing were needed to frame the painting?
> Use the figure to determine the following.
> 2014 Ford Mustang The 2014 Ford Mustang gets about 13.18 km/ ℓ on the highway. The 2014 Ford Mustang GT gets about 10.63 km/ ℓ . a) What is the highway gas mileage of the Ford Mustang in meters per liter? b) What is the highway gas mileage of the Ford
> Use the figure to determine the following: /
> Balance If 5 kg are placed on one side of a balance and a 15 lb weight is placed on the other side, which way would the balance tip? Explain.
> Graph the solution set of the inequality, where x is a real number, on the number line. x ( 4
> Fill in the blanks with an appropriate word, phrase, or symbol(s). 2. A one-sided, one-edged surface is a(n) ___________ strip. 4. If you color a map of the United States, the maximum number of colors needed so that no two states that share a common bord
> Use the figure to determine the following: /
> Who Ran Faster Jim ran 100 m, and Bob ran 100 yd in the same length of time. Who ran faster? Explain.
> Use the figure to determine the following: /
> Arrange the quantities in order from smallest to largest. 0.032 kℓ , 460 dℓ , 48 000 cℓ
> Use the figure to determine the following: //
> Arrange the quantities in order from smallest to largest. 4.3ℓ, 420 cℓ , 0.045 kℓ
> Use the figure to determine the following: //
> Arrange the quantities in order from smallest to largest. 514 hm, 62 km, 680 m
> Identify the figure as a line, half line, ray, line segment, open line segment, or half open line segment. Denote the figure by its appropriate symbol.
> Use the following information about the lion’s mane jellyfish to answer the questions. The largest species of jellyfish is the lion’s mane jellyfish. The largest lion’s mane jellyfish specimen ever di
> x2 + 5x + 4 Factor the trinomial.
> x2 + 5x – 14 Factor the trinomial.