Answer:
The value of
:

Step-by-step explanation:
Find the value of
:

-Add both sides by
:


-Subtract both sides by
:


Divide both sides by
:


So, the final answer would be
.
Answer:
○ 
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°.
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Answer:
Option 2
Step-by-step explanation:
We know that the graph will face down (the negative sign)
We also know that the vertex should be (-2, 1)
Therefore, option 2 is the solution
Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
Simply subtract 8.72 from 20.08 and you get the answer which is 11.36$