Word problem (10 points)
to get to her friend's house, sandra walked along the sidewalk in her neighborhood. if she walked 100 yards at a direction of 45° northeast and then turned to walk 400 yards straight east, how many yards and in what direction would she need to walk if she wanted to walk straight home without having to make any turns?

Find the length of the following tangent segments to the circles centered at o and o' whose radii are 5 and 3 respectively and the distance between o and o' is 12. what is the tangent segment of cd?

Which speed is the fastest (use 1 mile ≈ 1.6 kilometers)? a. 12 miles/hour b. 18 feet/second c. 19 kilometers/hour d. cannot be determined

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil