Find the sum of the sequence. 39 +40 +41 +42 + ... + 138
1 answer:
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Answers:
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!