Answer:
x = 40
Step-by-step explanation:
According to the Supplementary Angles Theorem, set <em>4x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em>and <em>x</em><em> </em>equal to 180. Once done, combine like-terms to get <em>5x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em><em>=</em><em> </em><em>180.</em><em> </em>So, straight off the bat, we know that <em>5x</em> has to equal 200 [bringing 20 over to the right side of the equivalence symbol], therefore 40 is equal to <em>x</em><em>.</em>
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Answer:
p = -3
Step-by-step explanation:
Apply algebra to the equation by subtracting 4 from each side, that way it will cancel out at least the 4 next to p. It should now look like this: p = -3
Because we can't make anymore moves and the expression clearly states what p is, we're done!
Answer:
x+4 and y+3
Step-by-step explanation:
Both the x and y values move in positive directions from the first triangle to the second.
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.