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iragen [17]
3 years ago
6

△WPJ∼△DNJ What is PWPW ? Enter your answer in the box.

Mathematics
1 answer:
Kruka [31]3 years ago
5 0
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

\frac{WP}{DN}= \frac{PJ}{NJ} 

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

\frac{WP}{87.5}= \frac{64}{56}

Solve for x. You can do it by cross-multiplication.

\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100

The measure of segment WP is 100 meters.

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Answer:

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Step-by-step explanation:

<u>R</u><u>e</u><u>c</u><u>t</u><u>e</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>b</u><u>e</u><u>l</u><u>o</u><u>w</u><u>:</u>

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<u>Rectangle Above</u><u>:</u>

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<u>A</u><u>r</u><u>e</u><u>a</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>P</u><u>l</u><u>a</u><u>y</u><u>g</u><u>r</u><u>o</u><u>u</u><u>n</u><u>d</u><u>:</u>

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