Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.


Multiply both sides by 16.


Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.
Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2. 
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is
where
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.

Answer:

Step-by-step explanation:
Given

Required
Determine the amount of sweet Ivy gets when Dennis = 42
We have:
and

Substitute 42 for Dennis in 

Convert to fraction

Cross Multiply:

Divide through by 7




Answer: $4,331
Step-by-step explanation:
I will assume that the question meant 5.2% not 52% as this is quite excessive.
Katherine after 13 years.
Convert the variables;
n = 13 years = 13 * 365 = 4,745 days
r = 5.2% = 5.2/365 = 5.2/365%
Future value = P * ( 1 + r)^n
= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵
= $169,068
Michael after 13 years;
If compounded continuously, the formula is;
Future value = Pe^rt
= 86,000 * e⁰.⁰⁵ ˣ ¹³
= $164,737
Difference = 169,068 - 164,737
= $4,331