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: d=20/3
Step By Step:
Step 1, Simplify:
12-3/4(d+16)=-5
(-3/4)d+(12-12)=-5
(-3/4)d=-5
Step 2, Multiply each side by 4/(-3)
(4/-3)*(-3/4)d=(4/-3)*-5
d=20/3
Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.
Student 4 has the largest percent error.
Step-by-step explanation:
The percent error of a measurement is given by

where
x is the value of the measurement
is the actual value
For student 1:

Percent error:

For student 2:

Percent error:

For student 3:

Percent error:

For student 4:

Percent error:

So, student 4 has the largest percent error.
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Answer:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to
liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to
liters. .........(2)
from (1) and (2),
⇒ 
Solving for x, we get,
⇒ 
⇒ 
Approximately x = 8
Thus, the value of x is 8 gallon.