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Brilliant_brown [7]
3 years ago
13

Can u guys help me please with 5,6,7,8

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0
An explanation for this is that a straight line has a angle degree value of 180. Therefore if you draw the line that creates a 139 degree angle, the rest of the line would have an angle measurement of what is left of the 180 degrees. So to get x you would start with the 180 degree straight line value and subtract the 139 degrees of the line that divides it. so equation is:
180 - 139 = x
And and you get 41 degrees.
(To word this another way the two angles of x and 139 have to add up to the straight line of 180 degrees. Therefore another equation could be:
139 + x = 180
which is basically the same equation but might be easier explanation for some to understand.)


questions 7 and 8 are the same but instead of straight line with 180 degrees, you start with right angle with 90 degrees. Therefore x and the 18 degree angle have to add up to 90 degrees making an equation of:
x + 18 = 90
Or
x = 90 - 18
answer would be
x = 7w
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pantera1 [17]

Isolate the w. Note the equal sign. What you do to one side, you do to the other.

Add 3π to both sides

- 3π (+3π) + w = 2π (+3π)

w = 2π + (3π)

w = 5π

w = 5π is your answer

hope this helps

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2 years ago
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\large\boxed{\dfrac{1}{x^2}+x^2=23}

Step-by-step explanation:

\left(\dfrac{1}{x}+x\right)^2=25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\\left(\dfrac{1}{x}\right)^2+2(x\!\!\!\!\diagup)\left(\dfrac{1}{x\!\!\!\!\diagup}\right)+x^2=25\\\\\dfrac{1}{x^2}+2+x^2=25\qquad\text{subtract 2 from both sides}\\\\\dfrac{1}{x^2}+x^2=23

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