Cumulative Exam — Cumulative exam Answers

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

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Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

What is true about △ABC? Select three options

Which quadrilateral will always have 4-fold reflectional symmetry?

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?