Can you please help and explain I will give brainliest or thanks
2 answers:
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<u>Given</u>:
The coordinates of the triangle JKL are (1,2),(4,2) and (3,5)
We need to determine the coordinates of the triangle J'K'L' rotated 360° clockwise with the origin.
<u>Coordinates of the triangle J'K'L':</u>
The rule to rotate the triangle 360° clockwise with the origin is given by
The coordinates of the point J' is given by
The coordinates of the point K' is given by
The coordinates of the point L' is given by
Therefore, the coordinates of the triangle J'K'L' are (1,2), (4,2) and (3,5)
Hence, Option D is the correct answer.
Answer:
A person saves 30.7 yards
Step-by-step explanation:
the path a person walks diagonally creates a right triangle with the lenght and the width of the rectangular piece of land. The diagonal is 90 yards which becomes the hypotenuse.
let <em><u>w</u></em> be the width, then <em><u>l</u></em> becomes the length, which is twice the width. Therefore, leg <em><u>l=2</u></em><u>a</u> and leg <u><em>w=</em></u><u>a</u>.
By the Pythagorean Theorem:
Replacing the values:
But that <u>a</u> is the value for the width, if a person walks the width and the length, it becomes:
the length plus the width=2a+a=3a.
So:
Now, the difference between walking across the land and surrounding it, is:
We can conclude, a person saves 30.7 yards if walking across the land.
