Answer:
you are on the right track
Step-by-step explanation:
the second ones right so you are right :)
The only answer that makes sense to me is B.
Answer:
PQ:80
QR:160
PR:120
Step-by-step explanation:
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<em>hope it helps </em>
<em>have a great day!!</em>
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).
To start, we find the square of the distance between x1 and x2 and y1 and y2. The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.
Now we square 2 and 7 and add them together to get 4 + 49 = 53.
The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:

Now, as can be clearly seen, to find y we will use the first two ratios as:


In a similar manner, to find the value of x we can use the last two ratios:

After cross multiplication we get:

Which can be simplified as:

Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8