The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.
The vertex form needed is :

Given the equation:

The vertex form of
is given by:

Here, (h,k) is the vertex of the parabola equation given.
Conversion will go like this:

This is the resultant vertex form.
Thus the vertex form needed is :

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2503 is the answer, you can use a calculator to find this by simply plugging it in or use the long division method
Answer:
Step-by-step explanation:
To see if two events are independent you can use the formula P(a|b) = P(a)
In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,
therefore C and Y are not independent events because P(C∣Y) ≠ P(C).
The answer is choice D