Two right triangles are graphed on a coordinate plane. one triangle has a vertical side of 4 and a horizontal side of 10. the other triangle has a vertical side of 12 and a horizontal side of 30.
could the hypotenuses of these two triangles lie along the same line?
no, because they are not similar triangles
no, because one is larger than the other
yes, because they are similar triangles
yes, because they are both right triangles

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?

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.