The correct answer to your question is -2
Start with the small triangle on the right:
35 + 96 + x = 180
x = 49
Ah, you already have that. Nice!
Now move to the biggest triangle:
x + 77 + (35+y) = 180
but x = 49, so
49 + 77 + 35+y = 180
y = 19
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
Answer:
Yes. any repeating decimal is rational.
