The reasonable estimate of the current customer price index is 195. The option B is the correct option.
<h3>Customer price index</h3>
Customer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,

Here
is the cost of market basket in current period and
is the cost of market basket in the base period.
Cost of market basket in current period is

Cost of market basket in 1983 is,

Substitute all the values in the formula

Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
Learn more about the customer price index here;
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The answer is: $695.64
527 times 0.32 then add that to 527
It's not valid because there are too many unknown quantities, meaning there is not exactly one triangle that could exist for any given SSA combination.
For a visual example, see the attached image below.
It's fairly obvious that
. One is acute, the other is obtuse. In the triangle on the right, the dashed side has the same length
as in the triangle on the left. This dashed side and the actual side
form an isosceles triangle with congruent base angles
. The angles
and
are supplementary (they add to 180 degrees), or
.
Now by the law of sines, in the first triangle,

and that in the second triangle,

but we also know that
. Hence
.
Two different angles in this arrangement allow for two different triangles to be constructed, so having a SSA correspondence between two triangles is not enough evidence for their congruence.
Dilation involves changing the size of a figure
The endpoints of the image are (0,3) and (8,3)
<h3>How to determine the coordinates of the image</h3>
The coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (4,1)
The coordinates of the image are then calculated as:
(x,y) = (k(x -a) + a, k(y -b) + b)
For (2,2), we have:


For (6,2), we have:


Hence, the endpoints of the image are (0,3) and (8,3)
Read more about dilation at:
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