Q:

HELPPP! What is the value of x?Enter your answer, as a decimal, in the box. Do not round your answer.x=

Accepted Solution

A:
Answer:x = 5Step-by-step explanation:Call the point where the unnamed line segment intersects BC point Z. Then angle bisector AZ divides segment BC into the same proportion as the other sides of the triangle:... CZ/CZ = BZ/BZ... 3x/15 = (2x -1)/9... 9x = 5(2x -1) . . . . . . multiply by 45 to eliminate fractions...9x = 10x -5 . . . . . . . eliminate parentheses... 0 = x -5 . . . . . . . . . subtract 9x... 5 = x . . . . . . . . . . . add 5_____Comment on this geometryThis value of x makes the side lengths BZ = 9 and CZ = 15. Such a triangle cannot be constructed, as point A and point Z would have to be the same point. The "triangle" would look like a line segment.(Don't worry, the math is correct.)