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Sophie [7]
3 years ago
11

Find the value of unknown angles​

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer:

x = 75 degree , y = 75 degree , z = 105 degree

Step-by-step explanation:

x = 75 degree (being corresponding angles)

x=y (being corresponding angles)

75 = y

substituting the value

y + 30

75 + 30

105 degree

z = y + 30 (being corresponding angles)

z = 105 degree

ludmilkaskok [199]3 years ago
5 0

Step-by-step explanation:

x=y=75°

y+30=z

105=z

!!!!!!!!!!

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there would be no solutions because 39 does not equal 15

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A family went out to dinner and the cost of the food was $80. If the tip given was 15%, what
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Solve the equation 4x^2-12x=7 algebraically for x.
ss7ja [257]
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                                      - 7  - 7
                       4x² - 12x - 7 = 0
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7 0
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I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
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