WILL GIVE BRAINLIESt:
2 answers:
Answer:
~~12.413 units
Step-by-step explanation:
see attatchment
solve for x, or side 1
tangent= opposite side/adjacent side
tan of angle 22= x/5
tan(22)=x/5
5*tan(22)=x
solve for y, or side 2
cosine= adjacent side/hypotenuse
cos of angle 22= 5/y
cos(22)=5/y
y*cos(22)=5
y=5/cos(22)
put into calculator
side 1 length , side 2 length, hypotenuse length (given)
5*tan(22), 5/cos(22), 5
5*tan(22)+ 5/cos(22)+ 5
~~12.413
hope this helps.
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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.
