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2 years ago

I want the answer please!

Mathematics

2 answers:

agasfer [191]2 years ago

8 0

Answer:

x = 38 degrees.

The angle marked 2x-1 =75 degrees

Step-by-step explanation:

the opposite angles of a parallelogram are equal.

so:

2x -1 = 75

2x = 76

x = 38

Hope this helps

ElenaW [278]2 years ago

4 0

Answer:

x=38

Step-by-step explanation:

A quadrilateral's interior angles add up to 360°

In a parallelogram, the sides diagonal from it are the same angle measure. This mean that ∠K is 105° and ∠L is 75°. From this, we get:

2x-1=75

<em>Add 1 to both sides</em>

2x=76

<em>Divide both sides by 2</em>

x=38

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kenny6666 [7]

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2 years ago

Read 2 more answers

If cosine theta equals negative square root of three over two and pi over two less than theta less than pi, what are the values

Natalka [10]

<h2>Answer:</h2>

The values of sinθ and tanθ are:

$\sin \theta=\dfrac{1}{2}$

and

$\tan \theta=-\dfrac{1}{\sqrt{3}}=-\dfrac{\sqrt{3}}{3}$

<h2>Step-by-step explanation:</h2>

It is given that:

$\cos \theta=-\dfrac{\sqrt{3}}{2}$

where

$\dfrac{\pi}{2}$

i.e. the angle θ lie in the second quadrant.

Also, we know that in the second quadrant sine and cosecant function is positive.

whereas cosine,secant, tangent and cotangent functions are negative.

Now, we know that:

$\cos (\dfrac{5\pi}{6})=-\dfrac{\sqrt{3}}{2}$

i.e. here

$\theta=\dfrac{5\pi}{6}$

Hence, we have:

$\sin (\theta)=\sin (\dfrac{5\pi}{6})\\\\i.e.\\\\\sin \theta=\dfrac{1}{2}$

Also,

$\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\\\i.e.\\\\\tan \theta=\dfrac{\dfrac{1}{2}}{\dfrac{-\sqrt{3}}{2}}\\\\i.e.\\\\\tan \theta=\dfrac{1}{-\sqrt{3}}\\\\i.e.\\\\\tan \theta=-\dfrac{1}{\sqrt{3}}$