Answer:
x=59/5 or x=11.8 depends on which one you want to do both are true
Step-by-step explanation:
Start with what you are given
angle 4= 5x+6 and angle 3=65 because lines m and n are both parallel angle4=angle3 in other words 5x+6=65
what you want to do is get x by itself.
1. Subtract 6 from both sides
5x+6-6=65-6
5x=59
2. Divide both sides by 5
5x/5=59/5
x=59/5
3. Check to see if you can simplify the fraction and if you teacher wants it in decimals or exact fraction.
x=59/5 or x=11.8 they are the same just ones a decimal the other is left as a fraction
In both cases,

(as a consequence of the interesecting secant-tangent theorem)
So we have
10.





(omit the negative solution because that would make at least one of AB or AD have negative length)
11.




(again, omit the solutions that would give a negative length for either AB or AD)
Answer:
<h3>20.6 ft</h3>
Step-by-step explanation:
You must use the trigonometric function.
In this case, it will be tangent.

We have


Substitute:

<em>multiply both sides by 20</em>

Tree height is r + 5.
Therefore

Answer:
⅘ or 0.8
Step-by-step explanation:
Hypotenuse² = 3² + 4²
Hypotenuse = 5
Sin(θ) = 4/5