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77julia77 [94]
3 years ago
5

Which matrix represents the solution to the system of equations below?

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

The one that's include a rows 2 1 1 2

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EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

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

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
2 years ago
The surface area of a sphere with a diameter of 12 units is:
svetlana [45]

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

4 0
3 years ago
HELP!! What is the approximate measure of angle x in the triangle shown?
Alex Ar [27]
<h3>Answer:   D)  130.5 degrees</h3>

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

Work Shown:

c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\

Note: I used the law of cosines. Make sure your calculator is in degree mode.

6 0
2 years ago
I need help rn please​
nirvana33 [79]

Hello!

\large\boxed{\text{ slope = -3}}

Use the slope formula to solve for the slope of the line (m):

m = \frac{y^{2} -y^{1} }{x^{2} -x^{1} }

We can plug in the points (0, 4) and (1, 1) to solve:

m = \frac{1-4}{1-0}= \frac{-3}{1}  = -3

Therefore, the slope of the line is -3.

8 0
3 years ago
Find the value of x and pls explain!!❤❤❤
AlexFokin [52]

Answer:

x = 52 degrees.

Step-by-step explanation:

Here we make use of the fact that the interior angles of any triangle add up to 180 degrees.  Before this we must find an algebraic expression for interior angle RQS:  

Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.

The sum of the three interior angles is then

108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.

Then 232 - x = 180.  Solving for x, we get x = 52 degrees.

5 0
2 years ago
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