Answer: x=14
Step-by-step explanation:
The angles in a triangle are equal to 180 so
6x + 3 + 5x + x + 9 = 180
12x + 12 = 180
-12 -12
12x = 168
x = 14
The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
Steps to solve:
g(x) = – x^2 + 4x + 3 when g(-3).
~Substitute x with -3.
g(-3) = -(-3)^2 + 4(-3) + 3
~Simplify
g(-3) = -9 - 12 + 3
~Simplify using PEMDAS
g(-3) = -18
Best of Luck!
The Correct option is -4
because every other terms result in value = 4, where's -4 is the only different one hence doesn't belongs yo other three
