To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
s more than the distance she walked north. If Sindy were able to walk directly from the post office to the library in a straight line, she would have walked 150 meters. Suppose x represents the distance Sindy walked north. Which equation can be used to find x?
x^2 (x 20)^2=150^2
202=x^2-150^2
x (x 20)=150
x^2 (x 150)^2=20^2
x^2 (x 20)^2=150^2
202=x^2-150^2
x (x 20)=150
x^2 (x 150)^2=20^2
2 answers:
Answer:
x² + (x + 20)² = 150²
Step-by-step explanation:
Sindy walked x meters in north and then x+20 meters toward east. If Sindy were able to walk directly from the post office to the library directly in a straight line, the distance she would have walked 150 meters.
Thus Sindy forms a right angle triangle as in the figure attached.
From Pythagoras theorem
x² + (x + 20)² = 150²
This is the equation we can use to find x.
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Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64
Solve for x. You can do it by cross-multiplication.
The measure of segment WP is 100 meters.
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:
Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64
Solve for x. You can do it by cross-multiplication.
The measure of segment WP is 100 meters.