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Marat540 [252]
3 years ago
6

How to determine the acute angle between the line 2x+3y=6 and the y axis?

Mathematics
1 answer:
Lisa [10]3 years ago
6 0
2x+3y=6\\3y=-2x+6\ \ \ /:3\\y=-\frac{2}{3}x+2\\\\the\ angle\ between\ the\ line\ and\ the\ x\ axis-\alpha\\\\tg\alpha=-\frac{2}{3}\approx-0.666...\to\alpha\approx124^o\\\\the\ acute\ angle\ between\ the\ line\ and\ the\ y\ axis\ is\ 124^o-90^o=34^o
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Find the measure of the missing angles.
Yuri [45]

Answer:

d = 102° , e = 56° , f = 22°

Step-by-step explanation:

d and 102° are vertically opposite angles and congruent , so

d = 102°

e and 56° are vertically opposite angles and are congruent , so

e = 56°

f, d and e lie on a straight line and sum to 180° , then

f + d + e = 180° , that is

f + 102° + 56° = 180°

f + 158° = 180° ( subtract 158° from both sides )

f = 22°

3 0
3 years ago
How it came to this
ryzh [129]
You were really close :D
The mistake you made is that 44 - 36 is 8, not 6.
Using 8 instead, the answer is:
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3 years ago
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