Polygon abcd is translated to create polygon a'b'cd'. point a is located at(1,5), and point a' is
located at (-2, 1). what is the distance from b to b'?

5 units.

Step-by-step explanation:

The polygon A'B'C'D' is created after translating the polygon ABCD.

Now, we know that the distance that each point moves after translation will be the same.

Now, we have to determine the distance between points A(1,5) and A'(-2,1).

Therefore the distance AA' will be given by  

units.

Hence, the distance between the points B and B' will be 5 units. (Answer)

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

associative property of multiplication