B Apply

Use the figure below to complete each proportion. Justify your answer.

25. R S □ = J R K J fraction r s , over white square end fraction , equals . fraction j r , over k j end fraction
26. K J J P = K S □ fraction k j , over j p end fraction . equals , fraction k s , over white square end fraction
27. Q L P M = S Q □ fraction q l , over p m end fraction . equals , fraction s q , over white square end fraction
28. P T □ = T Q K Q fraction p t , over white square end fraction , equals . fraction t q , over k q end fraction
29. K L L W = □ M W fraction k l , over l w end fraction . equals , fraction white square , over m w end fraction
30. □ K P = L Q K Q fraction white square , over k p end fraction , equals . fraction l q , over k q end fraction

Urban Design In Washington, D.C., E. Capitol Street, Independence Avenue, C Street, and D Street are parallel streets that intersect Kentucky Avenue and 12th Street.

Image Long Description

31. How long (to the nearest foot) is Kentucky Avenue between C Street and D Street?
32. How long (to the nearest foot) is Kentucky Avenue between E. Capitol Street and Independence Avenue?

Algebra Solve for x.

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36. Think About a Plan The perimeter of the triangular lot below is 50 m. The surveyor's tape bisects an angle. Find the lengths x and y.

    

    • How can you use the perimeter to write an equation in x and y?
    • What other relationship do you know between x and y?

37. proof Prove the Converse of the Side-Splitter Theorem: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

    

    Given: X R R Q = Y S S Q fraction x r , over r q end fraction . equals . fraction y s , over s q end fraction

    Prove: R S ¯ ‖ X Y ¯ r s bar . double vertical bar , x y bar

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