Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x

Now we solve
* multiply each side by 20 *

we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)

*multiply each side by x*

*divide each side by tan(62)

we're left with x = 6.5
For 14)

multiply each side by x

divide each side by tan15

we're left with x = 44.8
For 15)

multiply each side by x

divide each side by tan(74)

we're left with x = 4.6
Answer:
Step-by-step explanation:
Answer:
m=3, n = 7
Step-by-step explanation:
Assuming m and n are integers, the following are the possible values of m and n
Let m = 1, then m³ = 1 and n= 189
If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2
If m = 3, we get 27n = 189 and n = 189/27 = 7
Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7