Answer:
Step-by-step explanation:
The isosceles triangle containing the side of <em>y</em><em> </em><em>+</em><em> </em><em>12</em><em> </em>is congruent to <em>3x² - </em><em>32</em><em> </em>[<em>base angles</em> are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle <em>adjacent</em> to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
-5y - 5y
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-4 = -4y + 12
-12 - 12
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-16 = -4y
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-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set <em>3x² - 32 </em>equal to 16:
+32 + 32
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48 = 3x²
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3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for <em>x</em><em> </em>will not give us identical answers.]
I am joyous to assist you anytime.