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
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:

Read more about arithmetic series at:
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Answer:
7. 28.8722
8. 21.7093
Step-by-step explanation:
458.29 x .063=28.8722
21.7093 x .0775= 21.7093
It is a vertical stretch.
<h3>What is functions?</h3>
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
To solve this problem you must apply the procedure shown below:
1. You have the following parent function given in the problem above:
f(x) = √x
2. And you have the function g(x) = √3x
3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.
4. Therefore, you have that:
|a| = √3
√3 > 1
Therefore the answer is: It is a vertical stretch.
to learn more about functions refer to:
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Answer:
I think you just plug in the first equation to the or the second to the first, it’s actually does not matter. After that you just solve it. For example: we have two equations.
y=11-2x
y=x+2
We just plug in the first equation to the second one.
11-2x=x+2
-3x=9
x=-3. So this is the answer. Hope this helps.
Step-by-step explanation: