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Mathematics, 26.03.2020 05:27 Claude7617

Please answer all 7 questions 100 POINTS!
1. What is the area of the composite figure whose vertices have the following coordinates?

(−4, 3) , (2, 3) , (4, −1) , (0, −3) , (−2, −1)

2. The radius of a spherical balloon is 4.5 inches.

What is the volume of the balloon?

Use 3.14 for pi.

3. Enter your answer, as a decimal
Which theorem or postulate proves that â–³ABC and â–³DEF are similar?

Drag and drop the correct postulate or theorem into the box to correctly complete the statement.

The two triangles are similar by the

A. AA Similarity Postulate
B. SAS Similarity Theorem
C. SSS Similarity Theorem
4. The volume of a cylinder is 224Ï€ cubic centimeters and its radius is 4 centimeters.

What is the height of the cylinder?

5. This figure is made up of a triangle and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round only your final answer to the nearest tenth.

Enter your answer, as a decimal
6. â–³ABC is similar to â–³RST .

In addition, m∠C=76° and m∠S=3(m∠A) .

What is m∠A ?
7. A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches long.

What was the perimeter of the rectangular board?

Enter your answer, rounded to the nearest hundredth

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