Answer:
9
Step-by-step explanation:
All triangles (3 sided polygons) have angles added up to 180, so we can do the following:
(7x-1) + (7x+8) + (5x+2) = 180° <em>- equation</em>
7x-1 + 7x+8 + 5x+2 = 180° <em>- "distribute"</em>
19x - 1 + 8 + 2 = 180°<em> - combine the x terms</em>
19x + 9 = 180° <em>- combine the integer terms</em>
19x = 171 <em>- subtract 9 form both sides</em>
x = 9 <em>- divide both sides by 19</em>
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
Answer:
k>-2
Step-by-step explanation:
4k+15>-2k+3
4k-(-2k)+15>3
4k+2k+15>3
6k+15>3
6k>3-15
6k>-12
k>-12/6
k>-2
