Figure 6.31 ( in a file) shows a cuboid whose edges protruding from one vertex form vectors a, b and c. Find the vectors 1) a+b, 2) b+c, 3) (b+c)+a, 4) b+(a+c). Express the vectors 5)BB, 6)CC, 7)B'C 8)A'C, 9)BC', 10)AC' through vectors a, b, c.​

What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2