Suppose that, without even reading the questions, you guess on all four questions of a true-or-false test. Compare the quantity

in Column A with the quantity in Column B. Choose the best answer.

Column A

P (exactly one right

answer)

Column B

P (exactly one wrong

answer)

O

O

The quantity in Column A is greater

The quantity in Column B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

O

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Which ordered pair is a solution of the equation? 2x+3y=10