Answer
Find out the what is the value of n.
To prove
By using the parallelogram property .
In parallelogram opposite angels are congruent .
As shown in the figure .
∠B = ∠ D
As given
∠B = (2n + 32)°
∠D = (4n - 2)°
(2n + 32) = (4n - 2)
solving the above
4n -2n = 32 +2
2n = 34
n = 17
Therefore the value of n is 17 .
A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps
Answer:
Step-by-step explanation:
![x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}](https://tex.z-dn.net/?f=x_%7B1%7D%3D7%20%5C%20%3B%20y_%7B1%7D%20%3D%20-4%5C%5C%5C%5Cx_%7B2%7D%20%3D%20-8%20%5C%20%3B%20y_%7B2%7D%3D5%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-8-7%29%5E%7B2%7D%2B%285-%5B-4%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-15%29%5E%7B2%7D%2B%285%2B4%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B225%2B%289%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B225%2B81%7D%5C%5C%5C%5C%3D%5Csqrt%7B306%7D%5C%5C%5C%5C%3D%5Csqrt%7B3%2A3%2A2%2A17%7D%5C%5C%5C%5C%3D3%5Csqrt%7B34%7D)
Distance = 
The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).
<h3>What is a function?</h3>
In mathematics, a function simply means a relation between the inputs and the outputs.
In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.
Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).
Learn more about functions on:
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Answer:
From the graph, the slope is -4/5 and the y-intercept is 4 so the slope-intercept equation is y = -4/5x + 4. To convert to standard form we'll do:
y = -4/5x + 4
5y = -4x + 20
4x + 5y = 20
