A dilation of figure A by a factor of 1/2 is the last figure with sides 1in, 2 in, 0.5 in and 2.5 inch. Since dilation means becoming larger, smaller or wider from one figure, this is also same with similar figures where the ratios of corresponding sides should be the same. In this problem, the ratio is 0.5 or 1/2. Therefore figure A is similar to the last figure.
1. n/2-1/3-1=1/6
n/2=1/6+1/3+1
n/2=1/6+2/6+6/6
n/2=9/6=3/2
n=3/2*2=3
check: abs(3/2-1/3)-1=1/6, abs(9/6-2/6)-1= 1/6, 7/6-1=1/6, 1/6 =1/6
3 is a root
2. -(n/2-1/3)-1=1/6
-n/2+1/3-1=1/6
-n/2-2/3=1/6
-n/2=1/6+2/3
-n/2=1/6+4/6
-n/2=5/6
n=-2*5/6=-5/3=-1 2/3
check : abs((-5/3)/2-1/3) -1=1/6
abs(-5/6-1/3) -1 =1/6, abs(-5/6-2/6) -1=1/6, abs (-7/6)-1=1/6, 7/6-1=1/6, 1/6=1/6
so -5/3 or -1 2/3 is also root
so two roots 3 and -5/3(that can be written as -1 2/3)
5x4=20 i think this is the right one
-2/5n=-30n
multiply both sides by -1 sinc I don' like negatives
2/5n=30n
multipl yboth sides by 5/2
1n=150/2n
n=75n
this is obviously false, the only number that would work is 0 since 0 =0 times 75
n=0
Answer: x = 3π/2
Hope this helps...... Stay safe and have a great rest of the weekend!!! :D
