Answer:
350 yards
Step-by-step explanation:
Angle bisector theorem: The angle bisector of a triangle divides opposite sides proportionally.
We use the angle bisector theorem to find the value of x in the diagram.
Therefore:
[tex]\dfrac{AB}{AD}= \dfrac{BC}{CD}\\\dfrac{x}{700}= \dfrac{200}{400}\\$Cross multiply\\400x=200 \times 700\\x=(200 \times 700) \div 400\\x=350$ yards[/tex]
Therefore, the distance along University Avenue from 12th Street to Washington Street is 350 yards.
