Hello!
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31.3° and 58.7°</h2><h2>
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To solve, we can set up an algebraic expression.
Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:
∠1 = x
∠2 = x + 27.4°
∠1 + ∠2 = 90°
x + (x + 27.4°) = 90°
Combine like terms:
2x + 27.4° = 90°
Subtract 27.4 from both sides:
2x = 62.6°
Divide both sides by 2:
x = 31.3°
Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:
(31.3°) + 27.4° = 58.7°
Answer:
25.7 feet
Step-by-step explanation:
We are solving a right angled triangle.
We are the Trigonometric function of Tangent
tan θ = Opposite side/Adjacent
Angle of Elevation = θ = 34°
Opposite side = Height
Adjacent = 30 feet
tan 34° = Opposite side/30 feet.
Opposite side = tan 34° × 30 feet
Opposite side = 20.235255505 feet
The height of the light house =
Opposite side(height) + Amelia's height
20.235255505 feet + 5.5 feet
= 25.735255505 feet
Approximately to the nearest tenth ≈ 25.7 feet
Answer:
B. (-2, 3).........................
Answer:
x=1
Step-by-step explanation:
- choose a side to get rid of so since its easier to take 6 away from seven we will do that but remember what you do to one side you have to do to the other
- so take away 6x from the left that leaves 0 your equation should look like this 4=-3+7x remember that we have to to it to the right side too
- so take 6x away from the 7x on the right side and that leaves 1x so it should look like this 4=-3+1x
- then since it's a -3 you will need to add 3 for it ton equal 0 so it will look like this 4=7x
- but dont for get to do the same to the other side so add 3 to the 4 on the left so it will look like this 7=7x
- then divide by 7 to get x by itself so it will look like this 7=x
- but you aren't done yet you still have to divide the left by 7 so it will look like this 1=x
and thats all there is to it hope this helps
