Area=1/2 times base times height
base=4
height=3
area=1/2 times 4 times 3
area=2 times 3
area=6 square units
Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
(2x - 6) - (10x - 7) # Starting expression
-8x - 1 # Combine like terms
Final answer:
-8x - 1
Hope this helps!
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