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cestrela7 [59]
3 years ago
14

Find the side lengths of each triangle ​

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

Step-by-step explanation:

So add the numbers on each side together

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The point A (5,11) is reflected across the x-axis. How long is the segment AA'?<br>​
Nikitich [7]

Answer:  The required length of the segment AA' is 11 units.

Step-by-step explanation:  Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

Now, we have the following distance formula :

The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

PQ=\sqrt{(c-a)^2+(d-b)^2}.

Therefore, the length of the segment AA' is given by

AA'=\sqrt{(5-5)^2+(-11-11)^2}=\sqrt{11^2}=11.

Thus, the required length of the segment AA' is 11 units.

7 0
3 years ago
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money doe
scZoUnD [109]

Answer:

$2,980

Step-by-step explanation:

Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.

From the given question:

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage

the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points

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cost = points × loan amount

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Answer:

60

Step-by-step explanation:

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