Answer:
The angle marked E is 120 degrees
Step-by-step explanation:
Here, we want to get the value of the angle marked E
when two triangles are similar/congruent, we have equal angle measures
Using the markings, we can deduce the following relationships;
4y -28 = 83 + y
4y-y = 83 + 28
3y = 111
y = 111/3
y = 37
So, we have;
4y-28 as
4(37) - 28
= 120
Answer:
<h3>Mathematical model =
![v = \frac{0.09422pq}{s^{2} }](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B0.09422pq%7D%7Bs%5E%7B2%7D%20%7D)
</h3><h3>k = 0.09422</h3>
Step-by-step explanation:
If v varies jointly as p and q, this means that v varies directly as the product of p and q as shown;
![v \alpha pq](https://tex.z-dn.net/?f=v%20%5Calpha%20%20pq)
... 1
k = constant of proportionality
Also v varies inversely as the square of s; mathematically,
![v \alpha \frac{1}{s^{2} } \\v = \frac{k}{s^{2} }... 2](https://tex.z-dn.net/?f=v%20%5Calpha%20%5Cfrac%7B1%7D%7Bs%5E%7B2%7D%20%7D%20%5C%5Cv%20%3D%20%5Cfrac%7Bk%7D%7Bs%5E%7B2%7D%20%7D...%202)
Equating 1 and 2, we have;
![v = \frac{kpq}{s^{2} }](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bkpq%7D%7Bs%5E%7B2%7D%20%7D)
Given v = 1.6, when p=4.1, q=7 and s=1.3
![k = \frac{vs^{2} }{pq}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bvs%5E%7B2%7D%20%7D%7Bpq%7D)
![k = \frac{1.6*1.3^{2} }{4.1*7}\\k = \frac{2.704}{28.7}\\ k =0.09422](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B1.6%2A1.3%5E%7B2%7D%20%7D%7B4.1%2A7%7D%5C%5Ck%20%3D%20%5Cfrac%7B2.704%7D%7B28.7%7D%5C%5C%20k%20%3D0.09422)
The constant of proportionality is 0.09422
The expression therefore becomes ![v = \frac{0.09422pq}{s^{2} }](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B0.09422pq%7D%7Bs%5E%7B2%7D%20%7D)
Hey there,
Your quetion states: <span>State the range of the following relation and state if it is a function. (3, 2), (4, 1), (4, 5), (5, 1)
I would say that your answer would be </span><span>A. {3, 4, 5} because these number's are not really in the range, but these are the numbers that would fall in the category.
Hope this helps you Melissa.
~Jurgen</span>
Answer:
y=x+2; y=5
Step-by-step explanation: