△WPJ∼△DNJ What is PWPW ? Enter your answer in the box.
1 answer:
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:
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.
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Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
