Yes all the points lay in the line.
Insert the x coordinate into x giving you your y
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°.
47/8 is an improper fraction so we need to divide 47 by 8 to get an mixed number.
8 go into 47, 5 times because 5*8 equals 40.
47-40 is 7 that is the left over.
5 7/8 is your mixed number.
Answer:
B. 7.3 %
Step-by-step explanation:
Given:
Initial average grade = 82
Final average grade = 88
Duration for the increase = 3 weeks
Therefore, increase in average grade = Final - Initial = 88 - 82 = 6
Now, percent increase in average grade is given as:

Therefore, the percent increase in her average grade over the 3-week period is 7.3 %.
Answer:
<B = 56 degrees
Step-by-step explanation:
The sum of two complementary angle is 90 degrees
Hence <A + <B = 90
2x++18 + 6x + 8 = 90
8x + 26 = 90
8x = 90-26
8x = 64
x = 64/8
x = 8
Get <B
<B = 6x+8
<B = 6(8) + 8
<B = 48+8
<B = 56 degrees