The first two are true and the last one is false
The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
In points form the answer is (-8,-4) and in equation form the answer is x=-8, y=-4
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Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
Now, using algebra, we can solve for x:
Plugging x back into the equation, we get:
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
A dilation of 2 about the origin.
Step-by-step explanation:
You can see in the original figure the points are half the points of the transformed figure.
For example the coordinates of H are (0.5,0)
The coordinates of H' are (1,0)
Since 0.5 * 2 = 1
There is a dilation of 2 about the origin.
