Answer:
Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.
Step-by-step explanation:
6y + 7 I don't know if that's what you're looking for
Well every 5 feet will be drawn an inch in the floor-plan.
And given dimensions in feet must be multiplied by 1 inch/5 feet.
The dimensions are 4 inch by 4.8 inch.
Hope this helps you! (:
Answer:
It is supplementary.
Step-by-step explanation:
Supplementary angles are angles that have two angles adding up to 180°. You can tell by just finding the straight line that equals 180° then seeing a line that separates the whole measurement into two angles, but together making a 180° angle still. Hope this helps! :D
Meanings of the other Options:
Alternate Interior Angles - <em>Angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.</em>
Corresponding Angles - <em>Angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel, then the corresponding angles are congruent.</em>
Alternate Exterior Angles - <em>Angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Exterior angles lie on opposite sides of the transversal but outside the two parallel lines.</em>
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Parallel Lines - <em>Two lines that never intersect. Like an equal sign for example (=).</em>
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Transversal - <em>A line the cuts through a parallel line. Like a non-equal sign for example (≠).</em>
Answer:
X''(2, -5), Y''(3, -3)
Step-by-step explanation:
You know that reflection in the x-axis changes the sign of the y-coordinate. Points that used to be above the axis are now below by the same amount, and vice versa.
Rotation counterclockwise by 270° is the same as clockwise rotation by 90°. That maps the coordinates like this:
(x, y) ⇒ (y, -x)
The two transformations together give you ...
(x, y) ⇒ (x, -y) ⇒ (-y, -x) . . . . . . . . equivalent to reflection across y=-x.
Using this mapping, we have ...
X(5, -2) ⇒ X''(2, -5)
Y(3, -3) ⇒ Y''(3, -3) . . . . . . on the equivalent line of reflection, so invariant
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The attachment shows the original segment in red, the reflected segment in purple, and the rotated segment in blue. The equivalent line of reflection is shown as a dashed green line.