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jarptica [38.1K]
3 years ago
14

A triangle has the following two angle measures:

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

41 + 77 + x = 180

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 118 + x = 180

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: x = 62

Therefore, the third angle must have a measure of 62°.

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Which of the following is the correct midpoint formula
GarryVolchara [31]

Step-by-step explanation:

Hey there!

The midpoint formula is;

midpoint(x,y) = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2}  )

Where, (x1), (y1), (x2) and (y2) are the given coordinates.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
If sin theta equals 12 divided by 13 and theta is in quadrant 2 cos20 equals? and cos theta equals?
Anni [7]

Answers:

  • cos(2theta) = -119/169
  • cos(theta) = -5/13

=====================================================

The given info is:

  • sin(theta) = 12/13
  • theta is in quadrant II

From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.

Now use the trig identity below to compute cos(2theta)

\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\

Other options you could use are these identities

\cos(2\theta) = 2\cos^2(\theta)-1\\\\

or

\cos(2\theta) = 1-2\sin^2(\theta)\\\\

3 0
3 years ago
HHHHHHEEEELLLLLLPPPPP
sveticcg [70]
<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
</span>
i) 2x + 2y = 8

ii) x + y = 4
<span>
use equation ii) to write y in terms of x as : y=4-x, 

substitute y =4-x in equation i):

</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8

this is always true, which means the equations have infinitely many common solutions.


Answer: </span><span>There are infinitely many solutions.</span><span>

</span>
4 0
3 years ago
( 1/4) ꓥ -3 =<br> A= -64<br> B= -1/64<br> C= 1/64<br> D= 64
Anna11 [10]

Answer:

C-1/64

Step-by-step explanation:

(1/4)(1/4)(1/4)=1/64

<em>Mark the brainliest </em>

5 0
3 years ago
Where in real life do you work with radical expressions and functions? Give an example of your own.
svetlana [45]
Engineering to make things
3 0
3 years ago
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