Answer:
15/4
Step-by-step explanation:
5/4 times 3 or
5/4 +5/4+5/4
Answer:
k = 143
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°, thus
k = 180 - (27 + 10) = 180 - 37 = 143
Answer:
There was 62.23% change in radius as the ion formed.
Step-by-step explanation:
Given
Radius of Aluminium
atom = 143 pm
Radius of Aluminium
atom = 54 pm
Change is the radius = Radius of Aluminium
atom - Radius of Aluminium
atom = 143 -54 = 89
Now to find % Change is the radius we will divide Change is the radius by Radius of Aluminium
atom and multiply by 100 we get
% Change is the radius = ![\frac{\textrm{Change is the radius}}{\textrm{Radius of Aluminium (Al) atom}} \times 100 = \frac{89}{143}\times100= 62.23\%](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BChange%20is%20the%20radius%7D%7D%7B%5Ctextrm%7BRadius%20of%20Aluminium%20%28Al%29%20atom%7D%7D%20%5Ctimes%20100%20%3D%20%5Cfrac%7B89%7D%7B143%7D%5Ctimes100%3D%2062.23%5C%25)
Hence there was 62.23% change in radius as the ion formed.
Answer:
![y = \dfrac{1}{3}x + 1](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cdfrac%7B1%7D%7B3%7Dx%20%2B%201%20)
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation: ![y = \dfrac{1}{3}x + 1](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cdfrac%7B1%7D%7B3%7Dx%20%2B%201%20)
A linear pair mean that the angles are adjacent (side by side) to each other and that they are supplementary (sum of their angles is 180 degrees). Thus, the angles should form a straight angle or an angle with a measure of 180 degrees.