Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
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You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
Answer:
One answer would be -2.155.
Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
