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The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.

What is the length of the room?

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In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.

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If 6x + 9y C 15 = C6, what is the value of C2x C 3y + 5?

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Find the measure of

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Correct Answer: 90

Explanation:

Triangle DBC and triangle DEF are isosceles right triangles, which means the measures of

and

both equal 45°;

;

;

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If the distance from point (C2, m) to point (4, C1) is 10 units, what is the positive value of m?

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If

, then a = 3 when z = ___.

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Correct Answer: 27

Explanation:

Substitute 3 for a :

. To solve for z , raise both sides of the equation to the power 2/3:

,

.

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The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?

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If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?

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Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie’s total bill?

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The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.

What is the radius of the circle?

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