Based on the figure below, what is the value of x?
A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees.
3
9
12
15
help someone plz
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sammixboo (sammixboo):
Image of figure?
OpenStudy (anonymous):
yeah hold on
OpenStudy (anonymous):
OpenStudy (butterflydreamer):
Can you see that if you ADD (5x + 15) + 30 = 90
(since it is a right angle and right angles = 90 degrees)
Therefore 5x + 15 + 30 = 90
Now what does 15 + 30 equal to?
OpenStudy (anonymous):
15+30=45
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OpenStudy (butterflydreamer):
That's correct so then
5x + 15 + 30 = 90
5x + 45 = 90
Now subtract 45 from both sides.
5x + 45 - 45 = 90 - 45
5x = 90 - 45 (since + 45 - 45 cancels out)
Now what does 90 - 45 equal to?
OpenStudy (anonymous):
90-45=45
OpenStudy (butterflydreamer):
yeep :)
So then
5x = 90 - 45
5x = 45
Therefore since we have "5x" but we want to find the value of ONE x.
We need to divide both sides by 5.
5x/5 = 45/5
x = 45/5 =?
45/5 can be simplified to what?
OpenStudy (anonymous):
1/9 right?
OpenStudy (butterflydreamer):
not quite :)
x = 45/5
This means x = 45 divided by 5.
45 divided by 5 equals to?
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OpenStudy (anonymous):
9
OpenStudy (butterflydreamer):
that's right :) So
x = 45/5
x = 9
and you're finisheeeed
OpenStudy (anonymous):
:O WOAH WOW THANKS SO MUCH!!!
OpenStudy (butterflydreamer):
haha you're welcomeeee :)
OpenStudy (anonymous):
could u help with more?
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