Answer:
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Step-by-step explanation:
Use the Triangular Interior Angles Theorem to figure this out:
180° = [3x]° + [2x]° + [5x]°
![\displaystyle \frac{180°}{10°} = \frac{[10x]°}{10°} \\ \\ 18 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B180%C2%B0%7D%7B10%C2%B0%7D%20%3D%20%5Cfrac%7B%5B10x%5D%C2%B0%7D%7B10%C2%B0%7D%20%5C%5C%20%5C%5C%2018%20%3D%20x)
Plug this back into the <em>m</em>∠<em>L</em><em> </em>to get 54°.
I am joyous to assist you anytime.
The answer to this is x^2 + 2x - 5
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
2x + 4 = 12
We're simply just trying to isolate x.
So, we must get x onto it's own side of the equal sign :)
Our first step is to subtract 4 from both sides.
2x + 4 - 4 = 12 - 4
Simplify.
2x = 8
Then, we divide both sides by 2.
2x ÷ 2 = 8 ÷ 2
Simplify.
x = 4
----------
To check your work, simply plug in the value of x into x in the original equation.
In this problem, x = 4, so plug in 4 for x.
2x + 4 = 12
2(4) + 4 = 12
Simplify.
8 + 4 = 12
12 = 12
Therefore, x = 4
~Hope I helped!~
A. there are 72 right-handed batters. this is what you do:
5:8
45:?
45/5=9
8*9=72 so
45:72
b. there are 45 left-handed batters
the total batters is 45+72=117
so the ratio of left-handed to the total batter would be 45:117
hope this helps :)
