Given that the triangles are similar, find the value of x. Find the length of NR. S T 40 60 R 2x-2 8
N
M
X=
NR =
1 answer:
Answer:
NR = 12
Step-by-step explanation:
Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:
Cross multiply
(addition property of equality)
Divide both sides by 10
x = 7
✔️NR = 2x - 2
Plug in the value of x
NR = 2(7) - 2 = 14 - 2
NR = 12
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Given:
The value of home in 2011 is $95,000.
The value of home in 2018 is $105,000.
To find:
The exponential model for the value of the home.
Solution:
The general exponential model is
...(i)
where, a is initial value and b is growth factor.
Let 2011 is initial year and x be the number of years after 2011.
So, initial value of home is 95,000, i.e., a=95,000.
Put a=95000 in (i).
...(ii)
The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.
Taking 7th root on both sides, we get
Put in (ii).
Therefore, the required exponential model for the value of home is , where x is the number of years after 2011.