Answer:
47 degrees
Step-by-step explanation:
Add all the numbers we know
the line is 180
43+52+38=133
133+47=180
47 Your answer. Hope this helped leave a heart or like or comment. :)
Complimentary angles, when added, = 90 degrees
so if one angle is x, then its compliment is 90 - x
x = 5(90 - x) - 6
x = 450 - 5x - 6
x + 5x = 450 - 6
6x = 444
x = 444/6
x = 74
and its compliment is : 90 - x.....90 - 74 = 16 <==
The missing values in the inequality problem are;
A = -9
B = 72
C = 22
<h3>What is the explanation for the above?</h3>
5p - 8 (p + 1) > 16 ......................... (1) Given
5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given
Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,
Substitute 10 for p
⇒ 5 (-10) - 8(-10+1)> 16
⇒ -50 -8(-9) > 16
⇒ -50 + 72 > 16
Hence
22 > 16 → T
Please note that T is symbolic of "True" that is
it is true that 22 is greater than 16.
Learn more about inequality problems:
brainly.com/question/11613554
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You have to complete the square on this to get it into standard form of a circle. Move the 8 over to the other side because that's part of the radius. Group together the x terms, take half the linear term which is 8, square it and add it in to both sides. Half of 8 is 4, 4 squared is 16, so add in 16 to both sides. I'll show you in a sec. You don't need to do anything to the y squared term. This just means that the center of the circle does not move up or down, only side to side, right or left. Here's your completing the square before we simplify it down to its perfect square binomial.
![( x^{2} -8x+16)+ y^{2} =8+16](https://tex.z-dn.net/?f=%28%20x%5E%7B2%7D%20-8x%2B16%29%2B%20y%5E%7B2%7D%20%3D8%2B16)
. Now break down the parenthesis into the perfect square binomial and do the addition of the right:
![(x-4) ^{2} + y^{2}=24](https://tex.z-dn.net/?f=%28x-4%29%20%5E%7B2%7D%20%2B%20y%5E%7B2%7D%3D24%20)
. This is the standard form of a circle that has a center of (4, 0) and a radius of