The <em><u>correct answer</u></em> is:
A 180° rotation followed by a translation 1 unit down.
Explanation:
The points are mapped as follows:
J(3, 4)→J'(-3, -5)
K(3, 1)→K'(-3, -2)
L(1, 1)→L'(-1, -2)
A 180° rotation maps a point (x, y) to (-x, -y). This would map
J(3, 4)→(-3, -4)
K(3, 1)→(-3, -1)
L(1, 1)→(-1, -1)
The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these. This means a translation 1 unit down would result in the image points.
Answer:
X = 89.92° or 90.08°
Step-by-step explanation:
The law of sines can be used to find the value of angle X:
sin(X)/26 = sin(67.38°)/24
sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787
There are two values of X that have this sine:
X = arcsin(0.99999901787) ≈ 89.92°
X = 180° -arcsin(0.99999901787) ≈ 90.08°
There are two solutions: X = 89.92° or 90.08°.
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<em>Comment on the problem</em>
We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.
The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...
arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°
This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.
Answer:
What are the choices?
Step-by-step explanation:
