A fire department needs to raise its ladder to the 5th story window which is
approximately 55 feet off of the ground. The ladder
can extend to a length of 60 feet. This ladder is
already 8 feet off of the ground because it is on top
of the truck. If the ladder is fully extended when
reaching the window, how far away should the base
of the ladder be from the building? Round the
answer to the nearest foot.
A. 5 feet
B. 24 feet
C. 37 feet
D. 81 feet

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?

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.