In the triangle below
1 answer:
Answer: first option.
Step-by-step explanation:
Given the right triangle shown in the figure, to calculate the measure of the angle m∠C, you can use the inverse function of the cosine:
You can identify in the figure, that, for the angle ∠C:
Then, since you know the lenght of the adjacent side and the lenght of the hypotenuse, you can substitute these values into .
Therefore, the measure of the angle ∠C is:
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The values gotten for the coordinate plane are;
- The distance between the x-coordinate of R and T is 3.
- The distance between the y-coordinate of R and T is 6.
- R' is (-1, 2) from T, so the coordinates of R' are (2, 0).
The Reason for the obtained value is that since thee rule for the dilation of ΔRST is:
- The vertices of the given triangle are R(0, 4), S(0, -2), T(3, -2)
Then, the distance that exist between the x-coordinate of R and T will be:
3 - 0
= 3
Then the distance between the y-coordinate of R and T will be:
4 - (-2)
= 6
Note that the location of the point R' is said to be relative to point T and as such:
The location of point R'
= (-1 + 3, 2 - 2)
= R'(2, 0)
Hence R' is (-1, 2) from T, and the coordinates of R' is (2, 0)
Therefore, The values gotten for the coordinate plane are;
- The distance between the x-coordinate of R and T is 3.
- The distance between the y-coordinate of R and T is 6.
- R' is (-1, 2) from T, so the coordinates of R' are (2, 0).
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