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Exam 9: An Introduction to Geometry

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if $m ( \angle A ) = 51.08 ^ { \circ }$ and $m ( \angle B ) = 56.46 ^ { \circ }$ .

(Multiple Choice)

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Question 61

Find the total area of the shaded figure. $Find the total area of the shaded figure. The side of the square is equal to 12. Use \pi = 3.1416 .$ The side of the square is equal to 12. Use $\pi = 3.1416$ .

(Multiple Choice)

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Question 62

The triangles shown in the illustration are congruent. The sides of the triangles are $a = 3$ , $b = 13$ , and $c = 3$ . So $d = 14$ .

(True/False)

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Question 63

Choose case when the triangles are similar.

(Multiple Choice)

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Question 64

Classify the following quadrilaterals. Match the shape with the name.
1.

square

Picture 1

trapezoid

Picture 4

rhombus

Picture 2

Correct Answer:

Verified

square

trapezoid

rhombus

rectangle

(Matching)

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Question 65

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar. $The angle a shown in the illustration is 30 ^ { \circ } Find b , if the two triangles are similar.$

(Multiple Choice)

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Question 66

Classify the following polygons: 1. 2. 3. 4. 5.

(Multiple Choice)

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Question 67

How many pairs of corresponding angles are shown in the figure below? __________ pairs of corresponding angles

(Short Answer)

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Question 68

Find the supplement of a $46 ^ { \circ }$ angle.

(Multiple Choice)

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Question 69

To the nearest tenth, find the circumference and the area of the target. $To the nearest tenth, find the circumference and the area of the target. a = 9 \mathrm { in }$ $a = 9 \mathrm { in }$

(Multiple Choice)

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Question 70

Find the complement of a $34 ^ { \circ }$ angle.

(Multiple Choice)

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Question 71

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -right$ -right

(Multiple Choice)

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Question 72

In the figure below, $l _ { 1 }$ is parallel with $l _ { 2 }$ . Find x , if $a = 6$ , $b = 10$ , $c = 4$ and $d = - 10$ . $In the figure below, l _ { 1 } is parallel with l _ { 2 } . Find x , if a = 6 , b = 10 , c = 4 and d = - 10 .$

(Multiple Choice)

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Question 73

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^{∘}$ ${}^{∘}$

(Short Answer)

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Question 74

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

(Multiple Choice)

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Question 75

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 .$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

(Multiple Choice)

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Question 76

The north wall of a barn is a rectangle 60 feet high and 55 feet long. There are five windows in the wall, each 4 by 4 feet. If a gallon of paint will cover 400 square feet, how many gallons of paint must the painter buy to paint the wall?

(Multiple Choice)

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Question 77

Find the sum of the angles of a polygon with 9 sides.

(Multiple Choice)

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Question 78

Choose the correct word. Any _____ different points determine exactly one line.

(Multiple Choice)

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Question 79

Find the radius of the circle, if the diameter is 14.

(Multiple Choice)

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Question 80

Showing 61 - 80 of 100

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if $m ( \angle A ) = 51.08 ^ { \circ }$ and $m ( \angle B ) = 56.46 ^ { \circ }$ .

Find the total area of the shaded figure. $Find the total area of the shaded figure. The side of the square is equal to 12. Use \pi = 3.1416 .$ The side of the square is equal to 12. Use $\pi = 3.1416$ .

The triangles shown in the illustration are congruent. The sides of the triangles are $a = 3$ , $b = 13$ , and $c = 3$ . So $d = 14$ .

Choose case when the triangles are similar.

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar. $The angle a shown in the illustration is 30 ^ { \circ } Find b , if the two triangles are similar.$

Classify the following polygons: 1. 2. 3. 4. 5.

How many pairs of corresponding angles are shown in the figure below? __________ pairs of corresponding angles

Find the supplement of a $46 ^ { \circ }$ angle.

To the nearest tenth, find the circumference and the area of the target. $To the nearest tenth, find the circumference and the area of the target. a = 9 \mathrm { in }$ $a = 9 \mathrm { in }$

Find the complement of a $34 ^ { \circ }$ angle.

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -right$ -right

In the figure below, $l _ { 1 }$ is parallel with $l _ { 2 }$ . Find x , if $a = 6$ , $b = 10$ , $c = 4$ and $d = - 10$ . $In the figure below, l _ { 1 } is parallel with l _ { 2 } . Find x , if a = 6 , b = 10 , c = 4 and d = - 10 .$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^{∘}$ ${}^{∘}$

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 .$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

The north wall of a barn is a rectangle 60 feet high and 55 feet long. There are five windows in the wall, each 4 by 4 feet. If a gallon of paint will cover 400 square feet, how many gallons of paint must the painter buy to paint the wall?

Find the sum of the angles of a polygon with 9 sides.

Choose the correct word. Any _____ different points determine exactly one line.

Find the radius of the circle, if the diameter is 14.

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

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Exam 9: An Introduction to Geometry

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if m(∠A)=51.08∘m ( \angle A ) = 51.08 ^ { \circ }m(∠A)=51.08∘ and m(∠B)=56.46∘m ( \angle B ) = 56.46 ^ { \circ }m(∠B)=56.46∘ .

Find the total area of the shaded figure. The side of the square is equal to 12. Use π=3.1416\pi = 3.1416π=3.1416 .

The triangles shown in the illustration are congruent. The sides of the triangles are a=3a = 3a=3 , b=13b = 13b=13 , and c=3c = 3c=3 . So d=14d = 14d=14 .

Choose case when the triangles are similar.

The angle a shown in the illustration is 30∘30 ^ { \circ }30∘ Find b , if the two triangles are similar.

Classify the following polygons: 1. 2. 3. 4. 5.

How many pairs of corresponding angles are shown in the figure below? __________ pairs of corresponding angles

Find the supplement of a 46∘46 ^ { \circ }46∘ angle.

To the nearest tenth, find the circumference and the area of the target. a=9ina = 9 \mathrm { in }a=9in

Find the complement of a 34∘34 ^ { \circ }34∘ angle.

Look at the illustration and match each angle with its type. ∠1=54∘\angle 1 = 54 ^ { \circ }∠1=54∘ and ∠2=36∘\angle 2 = 36 ^ { \circ }∠2=36∘ . -right

In the figure below, l1l _ { 1 }l1​ is parallel with l2l _ { 2 }l2​ . Find x , if a=6a = 6a=6 , b=10b = 10b=10 , c=4c = 4c=4 and d=−10d = - 10d=−10 .

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? __________ ∘{}^{∘}∘

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use π=3.1416\pi = 3.1416π=3.1416 .

The north wall of a barn is a rectangle 60 feet high and 55 feet long. There are five windows in the wall, each 4 by 4 feet. If a gallon of paint will cover 400 square feet, how many gallons of paint must the painter buy to paint the wall?

Find the sum of the angles of a polygon with 9 sides.

Choose the correct word. Any _____ different points determine exactly one line.

Find the radius of the circle, if the diameter is 14.

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

The measures of two angles of ABC (shown in the illustration) are given. Find the measure of the third angle, if $m ( \angle A ) = 51.08 ^ { \circ }$ and $m ( \angle B ) = 56.46 ^ { \circ }$ .

Find the total area of the shaded figure. $Find the total area of the shaded figure. The side of the square is equal to 12. Use \pi = 3.1416 .$ The side of the square is equal to 12. Use $\pi = 3.1416$ .

The triangles shown in the illustration are congruent. The sides of the triangles are $a = 3$ , $b = 13$ , and $c = 3$ . So $d = 14$ .

The angle a shown in the illustration is $30 ^ { \circ }$ Find b , if the two triangles are similar. $The angle a shown in the illustration is 30 ^ { \circ } Find b , if the two triangles are similar.$

Find the supplement of a $46 ^ { \circ }$ angle.

To the nearest tenth, find the circumference and the area of the target. $To the nearest tenth, find the circumference and the area of the target. a = 9 \mathrm { in }$ $a = 9 \mathrm { in }$

Find the complement of a $34 ^ { \circ }$ angle.

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$ and $\angle 2 = 36 ^ { \circ }$ . $Look at the illustration and match each angle with its type. \angle 1 = 54 ^ { \circ } and \angle 2 = 36 ^ { \circ } . -right$ -right

In the figure below, $l _ { 1 }$ is parallel with $l _ { 2 }$ . Find x , if $a = 6$ , $b = 10$ , $c = 4$ and $d = - 10$ . $In the figure below, l _ { 1 } is parallel with l _ { 2 } . Find x , if a = 6 , b = 10 , c = 4 and d = - 10 .$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^{∘}$ ${}^{∘}$

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 .$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .