Answer:
<u><em>Note. All numbers are rounded to the nearest tenth</em></u>
1
- x/9 = cos 48°
- x = 9 cos 48°
- x = 6.0
2.
- x/11 = sin62°
- x = 11 sin 62°
- x = 9.7
3.
- x/8 = tan 75
- x = 8 tan 75°
- x = 29.9
4.
- sin x = 38/53
- x = arcsin 38.53
- x = 45.8°
5.
- tan x = 15/20
- x = arctan 15/20
- x = 36.9°
6.
- cos x = 27/29
- x = arccos 27/29
- x = 21.4°
Pick any number. Write it in place of 'x'. If the result is a true statement, then your number is a solution of the equation. Do it again with a different number. Then do it again. Does it matter what your number is ?
Answer:
1620!
Step-by-step explanation:
The first reflection reverses the orientation and alters the direction of the vectors representing the sides of the quadrilateral. The second reflection does the same thing. The end result is that the orientation is unchanged by two reflections, and the direction of the sides of the quadrilateral is changed.
The appropriate choice is ...
... B. The resulting image will be a rotation of the pre-image.
_____
The center of rotation will be the point where the lines cross. (That is the invariant point.)
In the attachment, the green quadrilateral RESP is reflected across the line y=2x+7 (blue) to form the blue quadrilateral R'E'S'P'. That is then reflected across the line y = -12x +5 (orange) to give the orange quadrilateral R"E"S"P", which is a rotation of the pre-image.
The amount of rotation is double the angle between the lines, about 62.7°.