Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
Answer:
2 ounces
Step-by-step explanation:
25/12.5 = 2
Answer:
Option B. The standard deviation of the number of floors per city is nothing.
Step-by-step explanation:
The standard deviation of a data set is the statistic that measures the deviance or dispersion of the data from the relative mean. In other words, it is is a measure of how spread the numbers are. The standard deviation is given by the following formula:

In this case, it is the deviation of the number of floors in the building in the city.
We use the SSS congruence rule to prove the triangles to be congruent. From there, we then use CPCTC to show that angle I is congruent to angle L.
This is shown in the two column table (attached image below)
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Notes:
SSS = side side side
CPCTC = corresponding parts of congruent triangles are congruent