Answer:

Step-by-step explanation:
I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.
Hope this helped you out.
Answer:
The slope of the line that passes through the points (2, 3) and (8, 6) is
.
Step-by-step explanation:
To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is
or
.
219+159≤x≤369+309
The answer can then be simplified to
378≤x≤678
The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.


So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.


Rounding this off to the nearest hundredth, we get x = 8.80 m.
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