Total age
<span>6 * 27 </span>
<span>162 </span>
<span>Subtotal age of first 4 </span>
<span>4 * 23 </span>
<span>92 </span>
<span>Subtotal of last 3 </span>
<span>3 * 34 </span>
<span>102 </span>
<span>In the total of the first 4 and last 3 </span>
<span>the 4th person has been counted twice. </span>
<span>This second time must be subtracted. </span>
<span>Therefor </span>
<span>92 + 102 - x = 162 </span>
<span>194 - x = 162 </span>
<span>Subtract 194 from both sides </span>
<span>-x = -32 </span>
<span>Multiply both sides by -1 </span>
<span>x = 32
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Answer:
a
Step-by-step explanation:

Assuming rotation is about origin, then
R180: (x,y)->(-x,-y)
So
A(6,8)->A'(-6,-8)
B(6,12)->B'(-6,-12)
C(10,12)->C'(-10,-12)