Step-by-step explanation:
(-11/6) + m = -2/9
m = -2/9 + 11/6
the last common multiple of 9 and 6 is 18.
so, we are bringing both fractions to .../18.
m = -2×2/18 + 11×3/18 = -4/18 + 33/18 = 29/18
Answer:
C
Step-by-step explanation:
Answer:
Option A is correct.
Step-by-step explanation:
As we see the graph, we can say that the correct statement is :
A.)All repairs requiring 1 hour or less have the same labor cost. We can see that the coat from 0 hours to 1 hour is $50. So, the number of hours falling in this range has the same repairing cost.
B.) Labor costs the same no matter how many hours are used for a repair. This is wrong as the graph is increasing after 1 hour.
C.) Labor costs for a repair are more expensive as the number of hours increases. This is wrong as the hours are increasing from 0.25 to 0.5 then to 0.75 but they all have the same cost.
D.)There is no cost of labor for a repair requiring less than 1 hour. This is also wrong. The cost is $50.
Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)


According to the angle sum property, the sum of interior angles of a triangle is 180°.




Divide both sides by 2.

CE bisects ∠ACD.



Use angle sum property in triangle CDE,




Subtract 102 from both sides.


Therefore, the measure of angle DEC is 78°.