<span>5/6 X 360 = 300 degrees </span>
The preimage is the solid triangle while the image is the dashed triangle. Recall that any transformation takes a preimage and maps it to an image. The "preimage" is the "before"; while the "image" is the "after"
Preimage ---> Image
Before ---> After
The "pre" is one way to help remember it means "before".
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The preimage has a horizontal segment length of 15 units (count from x=-9 to x=6 and you should count out 15 spaces). The corresponding horizontal piece on the dashed triangle is only 3 units long. Divide the image length over the preimage length
(image length)/(preimage length) = 3/15 = 1/5 = 0.2
Now if the figure wasn't reflected over the point (6,6), then the final answer would be either 1/5 or 0.2; however, this reflection does happen so we need to make the scale factor negative. So we go from 1/5 to -1/5, and we go from 0.2 to -0.2
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Final Answer as a fraction: -1/5
Final Answer in decimal form: -0.2
Answer:
<span>y=−24</span>
Explanation:
<span><span>18</span><span>(5y+64)</span>=<span>14</span><span>(2y+20)</span></span>
multiply both sides by 8:
<span>5y+64=2<span>(2y+20)</span></span>
multiply out brackets:
<span>5y+64=4y+40</span>
subtract 4y from both sides:
<span>y+64=40</span>
subtract 64:
<span>y=40−64=−24</span>
<span>y=−<span>24
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