Answer:a/b x c/d= a x c/b x d
Show that ac and bd are integers
Step-by-step explanation:
Answer:
$7.62 per hour
Step-by-step explanation:
Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).
Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

Where,
- F is the future value (what we want to find)
- P is the present rate ($6.5)
- r is the rate of growth, in decimal (2% growth means 0.02)
- t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)
<u>Now plugging in all the info, we get the value of F:</u>

Thus, after 2 years, Heather's hourly rate will be $7.62
4x-8=2x+14
subtract 2x on both sides and add 8 on both sides so x=11
Claim: The measures of
and
are equal
Answer: True
Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.
====================================================
Claim: The coordinates of A and A' are the same
Answer: True
Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.