Answer:



Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
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Answer:
228.42 ft
Step-by-step explanation:
To solve for this question, we would be applying the Trigonometric function of Sine.
Sin theta = Opposite/Hypotenuse
Theta = 52°
Opposite = 180ft
Hypotenuse = Length of the wire = x
Hence:
sin 52 = 180/x
x = 180/sin 52
x = 228.42327871 ft
Approximately = 228.42 ft
Answer:
14 - n
Step-by-step explanation:
Let the number be n.
14 - n
The answer is 13 you have to add the top and bottom
Subsitute -4y for x
-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back
x=-4y
x=-4(9)
x=-36
(x,y)
(9,-36)