?The average of five numbers is 20. If one of the numbers is 18, then what is the sum of

Solve each equation. \(y=12(4.5)\) Equation Transcription: Text Transcription: y = 12(4.5)

Solve each equation. \(6.1(3.3)=p\) Equation Transcription: Text Transcription: 6.1(3.3) = p

Solve each equation. \(n=13.3 \div 3.5\) Equation Transcription: Text Transcription: n = 13.3 divided by 3.5

Solve each equation. \(11.16 \div 0.9=q\) Equation Transcription: Text Transcription: 11.16 divided by 0.9 = q

Solve each equation. \(d=\frac{2}{3} \cdot \frac{3}{4}\) Equation Transcription: Text Transcription: d = 2/3 cdot 3/4

Solve each equation. \(3\left(1 \frac{1}{2}\right)=f\) Equation Transcription: Text Transcription: 3(1 1/2) = f

Solve each equation. \(x=\frac{3}{8} \div \frac{1}{4}\) Equation Transcription: Text Transcription: x = 3/8 divided by 1/4

Solve each equation. \(7 \frac{1}{2} \div 30=w\) Equation Transcription: Text Transcription: 7 1/2 divided by 30 = w

In the figure, \(n \| o\). Name all angles congruent to the given angle. Give a reason for each answer. \(\angle 1\) Equation Transcription: ? Text Transcription: n parallel to o angle 1

In the figure, \(n \| o\). Name all angles congruent to the given angle. Give a reason for each answer. \(\angle 4\) Equation Transcription: ? Text Transcription: n parallel to o angle 4

In the figure, \(n \| o\). Name all angles congruent to the given angle. Give a reason for each answer. \(\angle 5\) Equation Transcription: ? Text Transcription: n parallel to o angle 5

In the figure, \(n \| o\). Name all angles congruent to the given angle. Give a reason for each answer. \(\angle 16\) Equation Transcription: ? Text Transcription: n parallel to o angle 16

Find the perimeter of each triangle.

Find the perimeter of each triangle.

Find the perimeter of each triangle.

Solve each proportion. \(\text { (Lesson 9-1) }\) \(\frac{2}{x}=\frac{8}{12}\) Equation Transcription: Text Transcription: (Lesson 9-1) 2/x = 8/12

Solve each proportion. \(\text { (Lesson 9-1) }\) \(\frac{18}{4 x}=\frac{3}{2}\) Equation Transcription: Text Transcription: (Lesson 9-1) 18/4x = 3/2

Solve each proportion. \(\text { (Lesson 9-1) }\) \(\frac{x+4}{3}=\frac{25}{5}\) Equation Transcription: Text Transcription: (Lesson 9-1) x + 4 /3 = 25/5

Each pair of polygons is similar. Find the values of \(x\) and \(y\). \(\text { (Lesson 9-2) }\) Equation Transcription: Text Transcription: x y (Lesson 9-2)

Each pair of polygons is similar. Find the values of \(x\) and \(y\). \(\text { (Lesson 9-2) }\) Equation Transcription: Text Transcription: x y (Lesson 9-2)

You may have heard of the golden rectangle, whose sides have a special ratio called the golden ratio. The golden ratio is approximately \(1.618\) to \(1\) or about \(1.618\). Artists and architects often use the golden rectangle because it is pleasing to the eye. A look at the Parthenon in Greece, the Taj Mahal in India, or the Lincoln Memorial in Washington, D.C., will reveal uses of the golden rectangle in architecture. Do you think there are golden triangles? How would they be constructed? Let’s find out. Construct a golden triangle. a. Trace the regular pentagon below and use a photocopier to enlarge it. Draw \(\overline{A C}\) and \(\overline{A D}\). b. Use a protractor to find the measures of the angles of \(\Delta A D C\). Classify \(\Delta A D C\). c. Find the ratio of \(A D\) to \(D C\). How does this ratio compare to the golden ratio? Equation Transcription: Text Transcription: 1.618 1 overline AC overline AD Delta ADC AD DC

Artists often use golden triangles to draw your eye toward the face of the subject. Notice how the folded arms and head of the Mona Lisa form a triangle. Use your pentagon and triangle to construct another golden triangle. Follow the steps below. a. Using a compass and straightedge, bisect \(\angle A D C\). Label the point where the angle bisector intersects \(\overline{A C}\) point \(F\). b. What are the measures of the angles in \(\Delta D C F\)? Classify \(\Delta D C F\). c. Find the ratio of \(D C\) to \(F C\). How does this ratio compare to the golden ratio? d. What conclusions can you draw from this activity? Equation Transcription: Text Transcription: angle ADC overline AC F Delta DCF DC FC

Find the value of each variable. \(\text { (Lessons 9-3, 9-4, 9-5, and 9-6) }\) Equation Transcription: Text Transcription: (Lessons 9–3, 9–4, 9–5, and 9–6)

Find the value of each variable. \(\text { (Lessons 9-3, 9-4, 9-5, and 9-6) }\) Equation Transcription: Text Transcription: (Lessons 9–3, 9–4, 9–5, and 9–6)

Find the value of each variable. (Lessons 9–3, 9–4, 9–5, and 9–6)

Find the value of each variable. (Lessons 9–3, 9–4, 9–5, and 9–6)

Carl is \(6 \ feet\) tall and casts an \(8-foot\) shadow. At the same time, a flagpole casts a \(48-foot\) shadow. How tall is the flagpole? (Lesson 9–3) Equation Transcription: Text Transcription: 6 feet 8-foot 48-foot

Choose the correct term to complete each sentence. Every proportion has two (similar figures, cross products).

Choose the correct term to complete each sentence. A (proportion, ratio) is a comparison of two numbers by division.

Choose the correct term to complete each sentence. The cross products are always equal in a (proportion, scale drawing).

Choose the correct term to complete each sentence. In (proportions, similar figures), corresponding angles are congruent, and the measures of corresponding sides have equivalent ratios.

Choose the correct term to complete each sentence. In the proportion \(\frac{2}{5}=\frac{4}{10}\), the terms \(2\) and \(10\) are called the (extremes, means). Equation Transcription: Text Transcription: 2/5 = 4/10 2 10

Choose the correct term to complete each sentence. (Scale drawings, Proportions) are used to represent something that is too large or too small to be drawn at actual size.

Choose the correct term to complete each sentence. A proportion has two cross products called the extremes and the (ratios, means).

Choose the correct term to complete each sentence. The constant of proportionality is also called the (scale factor, scale drawing).

Choose the correct term to complete each sentence. Knowing several measures of two (similar figures, scale drawings) may allow you to find the measures of missing parts.

Choose the correct term to complete each sentence. The symbols \(a\) to \(b\), \(a:b\), and \(\frac{a}{b}\), where \(b \neq 0\) represent (ratios, cross products). Equation Transcription: Text Transcription: a b a:b a/b b neq 0

Write each ratio in simplest form. \(\frac{3}{9}\) Equation Transcription: Text Transcription: 3/9

Write each ratio in simplest form. \(\frac{45}{1000}\) Equation Transcription: Text Transcription: 45/100

Write each ratio in simplest form. \(\frac{55}{22}\) Equation Transcription: Text Transcription: 55/22

Solve each proportion. \(\frac{3}{10}=\frac{9}{x}\) Equation Transcription: Text Transcription: 3/10 = 9/x

Solve each proportion. \(\frac{3}{2x}=\frac{12}{16}\) Equation Transcription: Text Transcription: 3/2x = 12/16

Solve each proportion. \(\frac{84}{49}=\frac{12}{17 - x}\) Equation Transcription: Text Transcription: 84/49 = 12/17 - x

Solve each proportion. \(\frac{16}{20}=\frac{x + 3}{10}\) Equation Transcription: Text Transcription: 16/20 = x + 3/10

Determine whether the polygons are similar. Justify your answer.

The polygons are similar. Find x and y.

Determine whether each pair of triangles is similar. If so, tell which similarity test is used.

Determine whether each pair of triangles is similar. If so, tell which similarity test is used.

Complete each proportion. \(\frac{?}{P Q}=\frac{M N}{M P}\) Equation Transcription: Text Transcription: ?/PQ=MN/MP

Complete each proportion. \(\frac{M L}{M Q}=\frac{?}{M P}\) Equation Transcription: Text Transcription: ML/MQ=?/MP

Determine whether \(\overline{A B} \| \overline{C D}\). Equation Transcription: || Text Transcription: Overline AB} || overline CD

A, B, and Care the midpoints of the sides of ?STU. Complete. \(\overline{A C}\) || _______? Equation Transcription: Text Transcription: Overline AC

A, B, and Care the midpoints of the sides of ?STU. Complete. If UT = 16, then AB = ________?

A, B, and Care the midpoints of the sides of ?STU. Complete. If BC = 6, then SU = ________?

Complete the proportion \(\frac{A B}{A C}=\frac{?}{D F}\)? using the figure at the left. Equation Transcription: Text Transcription: AB/AC=?/DF

.Find the value of d if x || y || z.

The triangles below are similar, and the perimeter of ?NPQ is 27. Find the value of each variable.

Determine the scale factor of ?DEF to ?ABC.

Sailing The sail on John’s boat is shaped like a right triangle. Itshypotenuse is 24 feet long, one leg is 16 feet long, and the other is about 18 feet long. The triangular sail on a model of the boat has a hypotenuse of 3 feet. If the two triangular sails are similar, how long are the legs of the model’s sail?(Lesson 9–3)

Recreation The ends of the swing set at Parkdale Elementary Schoollook like the letter A, as shown in the diagram. If the horizontal baris parallel to the ground, how long is the horizontal bar?(Lesson 9–5)

Name Three tests used to determine whether triangles are similar.

Describe How a scale drawing could be used by an architect.

Solve each proportion. \(\frac{x-2}{7}=\frac{20}{35}\) Equation Transcription: Text Transcription: x-2/7=20/35

Solve each proportion. \(\frac{5}{3}=\frac{x+7}{9}\) Equation Transcription: Text Transcription: 5/3=x + 7/9

Solve each proportion. \(\frac{27}{x}=\frac{36}{9}\) Equation Transcription: Text Transcription: 27/x=36/9

Determine if the polygons are similar. Justify your answer.

The polygons are similar. Find the values of x and z.

Determine whether each pair of triangles is similar. If so, tell which similarity test is used.

Determine whether each pair of triangles is similar. If so, tell which similarity test is used.

Determine whether each pair of triangles is similar. If so, tell which similarity test is used.

Find the values of x and y.

Complete each proportion. \(\frac{B E}{?}=\frac{B E}{B C}\) Equation Transcription: Text Transcription: BF/?=BE/BC

Complete each proportion. \(\frac{B E}{B C}=\frac{?}{C D}\) Equation Transcription: Text Transcription: BE/BC=?/CD

Complete each statement. AC = _________?

Complete each statement. \(\overline{B C}\)|| = _________? Equation Transcription: Text Transcription: Overline BC

Complete each statement. ?ABC ? _________?

List three proportions, given x || y || z.

Find the value of n.

A 42-foot tree casts a shadow of 63 feet. How long is the shadow of a 5-foot girl who is standing near it?

A puzzle consists of several triangles that are all similar. If the perimeter of ?ABC is 39, find the value of each variable.

On a map, the distance from Springfield to Ames is 6 inches. The map scale is \(\frac{1}{2}\) inch = 20 miles. How many miles is it from Springfield to Ames?(Lesson 9–2) a. 6.67 mi b. 60 mi c. 120 mi d. 240 mi Equation Transcription: Text Transcription: 1/2

Which ordered pair represents the y-intercept of line MN?(Lesson 4–6) a. (0, -2) b. (-2, 0) c. (0, -4) d. (-4, 0)

If 2 packages contain a total of 12 doughnuts,how many doughnuts are there in 5 packages?(Algebra Review) a. 60 b. 36 c. 30 d. 24

Nathan earns $24,000 in salary and 8%commission on his sales. If he needs a total annual income of at least $30,000, how much does he need to sell?(Percent Review) a. at least $480 b. at least $6000 c. at least $26,400 d. at least $75,000

Point B(4, 3) is the midpoint of line segmentAC. If point A has coordinates (0, 1), what are the coordinates of point C?(Lesson 2–5) a. (-4, -1) b. (4, 1) c. (4, 4) d. (8, 5) e. (8, 9)

The ratio of girls to boys in a science class is 4 to 3. If the class has a total of 35 students,how many more girls are there than boys?(Algebra Review) a. 1 b. 5 c. 7 d. 15

Jessica served cheese, peanut butter, and cucumber sandwiches at a luncheon. Shealso served iced tea and lemonade. Eachguest chose one sandwich and one drink. Of the possible combinations of sandwich and drink, how many included iced tea?(Statistics Review) a. 1 b. 2 c. 3 d. 6

The average of five numbers is 20. If one of the numbers is 18, then what is the sum of the other four numbers? a. 2 b. 20.5 c. 82 d. 90 e. 100

An average of 3 out of every 10 students are absent from school because of illness during flu season. If there are normally 600students attending a school, about how many students can be expected to attend during flu season?(Algebra Review)

The chart shows the average height for males ages 8 to 18.(StatisticsReview)