what is the value of x?
enter your answer, as a decimal, in the box. do not round your answer.
x=

x = 5

Step-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 geometry

This 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.)

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25