Exam 10: Probability and Counting Techniques

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 Identify the quadrilateral. \text { Identify the quadrilateral. } \text { Identify the quadrilateral. }

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 Classify the triangle. \text { Classify the triangle. } \text { Classify the triangle. }

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The screen of a computer monitor is measured by the length of the diagonal. If a screen is 19 inches long and 15 inches high, what is the measure of the diagonal? (Round your answer to the nearest hundredth.)

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 Classify the triangle according to sides and angles. \text { Classify the triangle according to sides and angles. } \text { Classify the triangle according to sides and angles. }

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The triangles shown below are similar. Use the proportional property of similar triangles to find the measure of xx .  The triangles shown below are similar. Use the proportional property of similar triangles to find the measure of  x .

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Suppose you wish to place artificial turf on the floor of an indoor exercise facility that is in the shape of a trapezoid with bases measuring 25 feet and 42 feet and a vertical height from one base to the other of 12 feet. Find the cost of covering the floor if the artificial turf costs $6 per square foot.

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Find the horizontal distance from a ship to the base of a 150 -foot-tall lighthouse if the angle of depression to the ship from the top of the lighthouse is 2424 ^ { \circ } . (Disregard the dimensions of the ship and round to the nearest foot)

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 Find the measures of angles 1,2, and 3\text { Find the measures of angles } 1,2 \text {, and } 3 \text {. } \text { Find the measures of angles } 1,2 \text {, and } 3 \text {. }

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Identify the polygon and find the sum of the measures of the angles.  Identify the polygon and find the sum of the measures of the angles.    A) Hexagon;  720 ^ { \circ }  B) Heptagon;  900 ^ { \circ }  C) Heptagon;  720 ^ { \circ }  D) Hexagon;  900 ^ { \circ } A) Hexagon; 720720 ^ { \circ } B) Heptagon; 900900 ^ { \circ } C) Heptagon; 720720 ^ { \circ } D) Hexagon; 900900 ^ { \circ }

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Suppose the cone below has a radius of 4 inches and a height of 9 inches. Find the volume of the cone. Round to two decimal places. Use 3.143.14 for π\pi .  Suppose the cone below has a radius of 4 inches and a height of 9 inches. Find the volume of the cone. Round to two decimal places. Use  3.14  for  \pi .    A)  150.8  in  ^ { 3 }  B)  113.1 \mathrm { in } ^ { 3 }  C)  226.19 \mathrm { in } ^ { 3 }  D)  75.4  in  ^ { 3 } A) 150.8150.8 in 3^ { 3 } B) 113.1in3113.1 \mathrm { in } ^ { 3 } C) 226.19in3226.19 \mathrm { in } ^ { 3 } D) 75.475.4 in 3^ { 3 }

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 Identify and name the figure. \text { Identify and name the figure. } \text { Identify and name the figure. }

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 Identify the quadrilateral. \text { Identify the quadrilateral. } \text { Identify the quadrilateral. }

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 Use the Pythagorean theorem to find the measure of side x\text { Use the Pythagorean theorem to find the measure of side } x \text {. } \text { Use the Pythagorean theorem to find the measure of side } x \text {. }

(Multiple Choice)
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 Identify angles 4 and 5 as alternate interior, alternate exterior, corresponding, or vertical. \text { Identify angles } 4 \text { and } 5 \text { as alternate interior, alternate exterior, corresponding, or vertical. } \text { Identify angles } 4 \text { and } 5 \text { as alternate interior, alternate exterior, corresponding, or vertical. }

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 Find the circumference and area of the circle if r=5 inches. Use π=3.14\text { Find the circumference and area of the circle if } r = 5 \text { inches. Use } \pi = 3.14 \text {. } \text { Find the circumference and area of the circle if } r = 5 \text { inches. Use } \pi = 3.14 \text {. }

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Identify the following polygon and find the sum of the measures of the angles. Identify the following polygon and find the sum of the measures of the angles.

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 Classify the triangle according to sides and angles. \text { Classify the triangle according to sides and angles. } \text { Classify the triangle according to sides and angles. }

(Multiple Choice)
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 Classify the triangle according to sides and angles. \text { Classify the triangle according to sides and angles. } \text { Classify the triangle according to sides and angles. }

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In hyperbolic geometry, how many lines can be drawn parallel to a given line through a point not on the given line?

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 Classify the triangle according to sides. \text { Classify the triangle according to sides. } \text { Classify the triangle according to sides. }

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