Answer:
fully simplified answer: x^2-2x+8
Step-by-step explanation:
For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
![tan A = \frac{oppositeside}{adjacent side}.](https://tex.z-dn.net/?f=tan%20A%20%3D%20%5Cfrac%7Boppositeside%7D%7Badjacent%20side%7D.)
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
![tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .](https://tex.z-dn.net/?f=tan%20A%20%3D%20%5Cfrac%7Boppositeside%7D%7Badjacent%20side%7D%2C%20tan%2040%20%3D%200.8390%2C%20tan%20A%20%3D%20%5Cfrac%7B26%7D%7Bx%7D%20.)
![0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.](https://tex.z-dn.net/?f=0.8390%20%3D%20%5Cfrac%7B26%7D%7Bx%7D%20%2C%20x%20%3D%20%5Cfrac%7B26%7D%7B0.8390%7D%20%3D%2030.9892.)
So x measures 30.9892 units.
To the nearest whole number would be 7
Answer:
y = 5/9x - 37/3
Step-by-step explanation:
5x - 9y = 8
-9y = -5x + 8
y = 5/9x - 8/9
- When a line is parallel, the slope remains the same.
y = 5/9x + b
-9 = 5/9(6) + b
-9 = 10/3 + b
-37/3 = b