Directions and problem attached

9514 1404 393

  15

Step-by-step explanation:

The fact the triangles are similar tells you ...

  AB/AC = AP/AQ . . . . corresponding sides are proportional

  AB = AC(AP/AQ) = 20(6/8)

  AB = 15

what does muffins have to do with anything?

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions