Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
https://www.coolmath4kids.com/math-help/fractions/adding-and-subtracting-fractions-different-denominators
For example:
1/2 + 1/3
We need to find something called the least common denominator (LCD)... It's really just the LCM of our denominators, 2 and 3.
The LCM of 2 and 3 is 6. So, our LCD 6.
We need to make this our new denominator...
Change the 1/2:
1 x 3 over 2 x 3 = 3/6
Change the 1/3:
1/2 + 1/3 = 3/6 + 2/6
Now we can do it!
(3+2)/6 = 5/6
Answer:
jabrill
Step-by-step explanation:
42 dived by 3 = 14
78 dived by 4=13
Answer:
both lines have the same slope, hence they are parallel to each other
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.
Given a line with an equation:
y = (2/3)x - 17
From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.
Also the other line has an equation of 4x - 6y = -6
6y = 4x + 6
y = (2/3)x + 1
Hence this line has a slope of 2/3 and a slope of 1.
Since both lines have the same slope, hence they are parallel to each other
