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Problem 3

Suki made a scale model of a local bridge. If the span of the bridge was 50 feet and the span of the model was 6 inches, what scale factor did Suki use to build her model?

Problem 3

The ratios of the measures of three angles of a triangle are \(5: 7: 8 .\) Find the measure of each angle of the triangle.

Problem 5

Solve each proportion. $$\frac{2.3}{4}=\frac{x}{3.7}$$

Problem 6

Triangle \(J K L\) is similar to \(\triangle T U V\) with a scale factor of \(\frac{3}{4} .\) If the lengths of the sides of \(\triangle T U V\) are \(4,6,\) and 8 centimeters, what are the lengths of the sides of \(\triangle J K L ?\)

Problem 6

Solve each proportion. $$\frac{x-2}{2}=\frac{4}{5}$$

Problem 8

PETS Out of a survey of 1000 households, 460 had at least one dog or cat as a pet. What is the ratio of pet owners to households?

Problem 12

Mrs. Barojas walked to a copier in her office, made a copy of her proposal, and sent the original to one of her customers. When Mrs. Barojas looked at her copy before filing it, she saw that the copy had been made at an \(80 \%\) reduction. She needs her filing copy to be the same size as the original. What enlargement scale factor must she use on the first copy to make a second copy the same size as the original?

Problem 12

Find the measures of the sides of each triangle. The ratio of the measures of three sides of a triangle is \(8: 7: 5 .\) Its perimeter is 240 feet.

Problem 13

Find the measures of the sides of each triangle. The ratio of the measures of the sides of a triangle is \(3: 4: 5 .\) Its perimeter is 72 inches.

Problem 18

Triangles \(A B C\) and \(T B S\) have vertices \(A(-2,-8), B(4,4), C(-2,7), T(0,-4),\) and \(S(0,6)\). Graph the triangles and prove that \(\triangle A B C \sim \triangle T B S\).

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