Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
Answer:
0.32
Step-by-step explanation:
P(B|A) = P(A∩B) / P(A)
0.25 = 0.08 / P(A)
P(A) = 0.32
Let x represent the number of caps
cost per cap = $6
cost for x caps = 6x
shipping charge = $25
overall budget = $1000
We can set up the following inequality:
Because the total amount cannot exceed 1000, we have
25 + 6x ≤ 1000
6x ≤ 975
x ≤ 162.5
rounding,
x ≤ 163
This means she can purchase a maximum of 163 caps.
In the first month, she made a payment of $1451
In the second month, she paid one-third of that, which amounts to:
1451/3 = 483.66
For the third month, she pays one-third of 483.66 as indicated, meaning she takes one-third of the prior month's payment.
483.66/3 = 161.22
In the fourth month, her payment was
161.22/3 = 53.74
Altogether, her total payments amounted to:
$2149.62 - B.
Hope this information is helpful:)
8.6 = -5
13.6 = 0
Your equation seems to be lacking another value for x, but based on what you've provided, this is accurate.
