Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:
<em>add 9 to both sides</em>
<em>divide both sides by 2</em>
Parallel lines have the same slope. Therefore we have the equation:
Put the coordinates of the point (4, -4) to the equation:
<em>subtract 14 from both sides</em>
Finally we have the equation:
Angle α and β are supplementary angles and when added together equal 180.
Set up an equation:
α + β = 180
β = α +30
Replace β in the first equation, to get:
α + α +30 = 180
Simplify:
2α +30 = 180
Subtract 30 from both sides:
2α = 150
Divide both sides by 2:
α = 150 /2
α = 75 degrees.
7/8 and 9/16
7*2/8*2 = 14/16
14/16 and 9/16
Now since we have a common denominator, we can compare the numerators.
14/16 is greater, so 7/8 is greater than 9/16
Answer: 7/8 is bigger
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