Answer:
Triangle x = 30. Pentagon x = 50
Step-by-step explanation:
For the triangle,
Find the angle which is beside x in the triangle,
let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)
110 + y = 180
Y = 180 - 110
y = 70
Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180
x = 180 - 70
x = 30
For the pentagon,
Again find the angle which is beside x in the pentagon,
let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180) + 90 + y = 540
210 + 200 + y = 540
410 + y = 540
y = 540 - 410
y = 130
Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180
x = 180 - 130
x = 50
Hope this helps!
Answer:
is this for a test?
Step-by-step explanation:
Answer:
Step-by-step explanation:
------(I)
![LHS =\dfrac{Cos \ A}{1+Sin \ A}+\dfrac{1+Sin \ A}{Cos \ A}\\\\\\ = \dfrac{1-Sin \A}{Cos \ A}+\dfrac{1+Sin \ A}{Cos \ A} \ [from \ equation \ (I)]\\\\\\=\dfrac{1-Sin \ A + 1 - Sin \ A}{Cos \ A}\\\\=\dfrac{2}{Cos \ A}\\\\\\=2*Sec \ A = RHS](https://tex.z-dn.net/?f=LHS%20%3D%5Cdfrac%7BCos%20%5C%20A%7D%7B1%2BSin%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B1-Sin%20%5CA%7D%7BCos%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%20%5C%20%5Bfrom%20%5C%20equation%20%5C%20%28I%29%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1-Sin%20%5C%20A%20%2B%201%20-%20Sin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%3D2%2ASec%20%5C%20A%20%3D%20RHS)
4 you will have 2.1 meters of wood left over
