Answer : The value of x is 5.
Step-by-step explanation :
According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
That means,


By the cross multiplication, we get:






Therefore, the value of x is 5.
Options a and b are the algebraic expressions
The width of the new card is 9 inches.
<u>SOLUTION:
</u>
Given, we have to solve using equivalent ratios. Wayne has a recipe on a 3-inch-by-5-inch index card that he wants to enlarge to 15 inches long.
We have to find width of the enlargement
Now, dimensions of card is 
Let the new width of card be n inches
.
So, New dimensions of card is 
Then, equivalent ratio is 

I don't think this is right but 64 ft.