Geometry ACT Review -B05

The sum of the measures of the interior angles of a convex polygon with t sides is $$180\left(t-2\right)$$ degrees. What is the sum of the measures of the interior angles of a convex polygon with 10 sides?

In the standard (x, y) coordinate plane, point A has coordinates (-8, -3). Point A is translated 8 units to the right and 3 units up, and that image is labeled A'. What are the coordinates of A'?

What is the volume, in cubic inches, of a right circular cone with radius 3 inches and height 6 inches?

(Note: The volume of a right circular cone with radius r and height h is $$\frac{1}{3}\pi r^2h.$$ )

Tomi has 6 pairs of shoes, 4 pairs of pants, and 6 shirts, which can be worn in any combination. He needs to choose a clothes combination to wear to the school dance. How many different combinations consisting of 1 of his 6 pairs of shoes, 1 of his 4 pairs of pants, and 1 of his 6 shirts are possible for Tomi to were to the dance?

In the standard (x, y) coordinate plane, what is the slope of the line through (-7, 3) and (2, 4)?

The lengths of corresponding sides of 2 similar right triangles are in a ratio of 2:9. The hypotenuse of the smaller triangle is 8 inches long. How many inches long is the hypotenuse of the larger triangle?

In the figure, B lies on $$\overline{AC},$$ E lies on $$\overline{DF},\ \overline{\ AC}\parallel\overline{DF},\ \Delta EBF$$ is isosceles with $$\overline{BE}\cong\overline{BF},\ and\ \angle CBF\ measures\ 32\degree.$$ What is the measure of $$\angle BED?$$

Line l is shown in the standard (x, y) coordinate plane. Alicia drew line p with a slope that is $$\frac{1}{2}$$ of the slope of line l and with a y-intercept that is 3 times the y-intercept of line l. One of the following equations represents line p. Which one?

One angle measure and 2 side lengths, in inches, are given in the right scalene triangle shown. In terms of a and b, what is $$\sin\theta?$$

Each side of square ABCD has a length of 50cm. A certain rectangle whose area is equal to the area of ABCD has a width of 10 cm. What is the length, in centimeters, of the rectangle?