Answer:
B
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
12 ? = 108 ( divide both sides by 12 )
? = 9 → B
The set A ∩ (/B ∪ C) is given as { 1, 6 }
<h3>How to determine the elements of the set</h3>
From the information given, we have the sets as;
U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A= {1, 2, 4, 6}
B= {3, 7}
C= {1, 3, 6, 7, 8}
Note that;
- U is the universal set
- Sets A, B and C are subsets of the universal set
- ∪ represents union of the set
- ∩ represents intersection of set
B∪C = { 1, 3, 6, 7, 8}
A ∩ (/B ∪ C) = { 1, 6 }
Hence, the set is { 1, 6 }
Learn more about sets here:
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△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).
The distance between the x-coordinates of R and T is 3 .
The distance between the y-coordinates of R and T is 6.
R' is 1 unit left,2 units up from T, so the coordinates of R' are (2,0)
Marilyn's finance charge at the end of the first month will be
$991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
$991.38 +16.44 -410.00 = $597.82
The finance charge at the end of the second month will be
$597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
$597.82 +9.91 -410.00 = $197.73
The finance charge applied at the end of the third month is
$197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
$197.73 +3.28 = $201.01
to pay off the balance.
In all, Marilyn has paid 2×$410.00 +201.01 =
$1021.01 . . . . . . . . corresponds to the first choice_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.