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3 years ago

15

A parallelogram has one angle that measures 40°. What are the measures of the other three angles in the parallelogram?

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

40°, 140°, and 140°

Step-by-step explanation:

A parallelogram has 2 pairs of angles with equal measure.

If one angle is 40°, the angle opposite to that must also be 40°

A parallelogram has an internal angle sum of 360°.

2 angles we know add up to 80°, subtract that from 360° and you can find the other 2 angles..

360° - 80° = 280°

The other 2 angles add up to 280°, so

280°/2 = 140°

The other 2 angles are each 140°

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Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

$\sqrt{3}\cdot \csc x - 2 = 0$

$\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0$

$\sqrt{3} - 2\cdot \sin x = 0$

$\sin x = \frac{\sqrt{3}}{2}$

$x = \sin^{-1} \frac{\sqrt{3}}{2}$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

b) The equation must be simplified first:

$\cos x + 1 = - \cos x$

$2\cdot \cos x = -1$

$\cos x = -\frac{1}{2}$

$x = \cos^{-1} \left(-\frac{1}{2} \right)$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

7 0

3 years ago

Please help need it asap

Studentka2010 [4]

Answer:

195

Step-by-step explanation:

87+38+40=165

360-165=195

Hope this helps!

If not, I am sorry.

4 0

1 year ago

How do I do this and what’s the answers?

Iteru [2.4K]

Answer:

a.5years=300 rabbits

b. 50 years(multiply 50 by 300)

Step-by-step explanation:

hope this is helpful

4 0

2 years ago

Can someone help me wih this?

irinina [24]

What grade is that?................

4 0

3 years ago

If you roll a six-sided die, what is P (not a 5)?

Setler79 [48]

Answer:

5/6

Explanation:

5 of the sides of the die are not the number 5,

<em>Hence, </em><em>the answer is...</em>

<em>5/6</em>

7 0

3 years ago