What is the slope of the line that passes through the points (1, 2) and (3, 12)?
1 answer:
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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
Answer:
A.102%
Step-by-step explanation:
Let cost price of painting=$100
In first year price increased 20%
Then , the price=$120
In second year
Price decreased 15%
Then , the price of painting=
The price of painting=$102
Percent =
By using this formula
Then, we get
Percent of the original price=
Percent of the original price=102%
Option A is true.