Answer:
[See Below]
Step-by-step explanation:
✦ Combine like terms:
✧ -5n + 2n = -3n
✦ Rewrite:
✧ 3 < -3n
✦ Divide:
✧ 3 / -3 = -1
So n = -1.
~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building.
<span>Draw a picture of this. Then tan(3) = ht of bldg/2000 </span>
<span>I get a height of 104.82 ft rounded to 2 dp. </span>
<span>5. Ok. use the Pythagorean Theorem here to find the hypotenuse of the right triangle </span>
<span>hypt = sqrt(50^2 + 9^2) </span>
<span>Now sine of the angle of elevation is 50/hypt. = 0.984 or 0.98 to 2 dp.</span>
