3 years ago

Find the value of x.

Mathematics

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

Step-by-step explanation:

The upper left hand arc is also 130

The lower right hand arc is also x

A circle all the way around from some starting point is 360 degrees.

x + x + 130 + 130 = 360 Equation. Combine like terms.

2x + 260 = 360 Subtract 260 from both sides

2x = 360 - 260

2x = 100 Divide by 2

x = 100/2

x = 50

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Explain the difference between using the tangent ratio to solve for a missing angle in a right triangle versus using the cotange

Lena [83]

Answer:

While determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.

Step-by-step explanation:

See the diagram attached.

Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = $\theta$ and the sides AB, BC, CA are 3, 4, 5 units respectively.

The tangent ratio of an angle $\theta$ is given by

$\tan \theta = \frac{BC}{AB} = \frac{4}{3}$

Again, the cotangent ratio of angle $\theta$ is given by

$\cot \theta = \frac{AB}{BC} = \frac{3}{4}$

Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)