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4 years ago

Line r is parallel to line t. Find m angle 5 45 35 135 145

Mathematics

2 answers:

Dimas [21]4 years ago

6 0

Answer: 135 °

Step-by-step explanation:

We know that when twp parallel lines are intersected by a transversal then the alternate exterior angles are equal. (1)

IN the given figure , we have two lines r and t parallel to each other.

Here, The one pair of exterior angles is m ∠ 5 and angle 135°.

From (1), m ∠ 5 = 135 °. [∵ Alternate exterior angles made by parallel lines are equal.]

Hence, the measure of m ∠ 5 = 135 °.

Lelu [443]4 years ago

5 0

M angle 5 is 135 because they are the outer opposites

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ziro4ka [17]

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(a) 315°

(b) 3°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

The bearing of P from R is 180° different from the bearing of R from P it will be ...

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3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: