The measures of the angles of a triangle are in the ratio 1:2:3. Find HALF the measure of the LARGEST angle.

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Given the diagram as marked, find

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Given the diagram as marked, find  $m\angle YZA$ .

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Given: C is the midpoint of BD & E is the midpoint of BF
Use the measurements on diagram to find:
CE,  $m\angle BCE$ , and  $m\angle BEC$ . 

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If the measure of an exterior angle of a regular polygon is 15, how many sides does the polygon have?

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If a polygon has 33 sides, what is the SUM of the measures of the angles in the polygon?

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If a polygon has 23 sides, what is the SUM of the measures of the exterior angles of the polygon?

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The sum of the measures of the angles of a polygon is 1620. Find the number of sides of the polygon.

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Find the number of diagonals that can be drawn in a pentadecagon (15-gon).

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Find the fourth proportional to 4, 6, and 8.

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Find the mean proportionals between 5 and 20.

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If 9x=4y, find the ratio of x to y.

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Given  $\Delta ABC\sim\Delta DEF$ with lengths shown.  Find DF and EF.  (write your answers in the order of DF, EF.  Make sure to separate with comma) 

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Pentagon ABCDE is similar to pentagon FGHIJ. The pentagons' respective perimeters are 24 and 30. If AB=6, find FG.

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If $\frac{GH}{JK}=\frac{3}{4}$ and GJ = 56, find HJ

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If  $\frac{r}{3x}=\frac{a}{2b}$  what is the value of x in terms of a, b, and r?

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A radio antenna that is 100 m tall casts an 80 m shadow. At the same time, a nearby telephone pole casts a 16 m shadow. Find the height of the telephone pole.

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Given MR is parallel to OP, find RP and OP. (write your answers in the order of RP then OP and separate them with a comma)

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Given TP is parallel to VW, find ST, TV, and PT. *round each answer to the nearest tenth*

(write your answers in the order of ST, TV, PT and separate them with commas)

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A scale model of the Titanic is 18.5 in long. The scale is 1:570. To the nearest foot, how long was the Titanic?

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If  $\frac{7}{x+4y}=\frac{9}{2x-y}$  find the ratio of x to y.

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