Answer: x = 143 degrees, y = 37 degrees and z = 143 degrees
Step-by-step explanation: First of all, looking at the line where x is situated,
37 + x = 180 {Sum of angles on a straight line equals 180}
Subtract 37 from both sides of the equation
x = 143
Next, looking at the line where y is situated, we observe that angle y is opposite of angle 37. Opposite angles are equal, therefore
y = 37
Alternatively, since angles x and y lie on the same line, and x has been calculated as 143, then
y + x = 180
y + 143 = 180
Subtract 143 from both sides of the equation
y = 37
Also looking at the line where angle z is situated, angle z is opposite angle x. Opposite angles are equal. Therefore z = 143.
Alternatively angle z and angle 37 lie on the same line. Therefore,
z + 37 = 180
Subtract 37 from both sides of the equation
z = 143
So all three variables are
x = 143, y = 37 and z = 143
Answer:
Step-by-step explanation:
The potential in a region between x = 0 and x = 6.00 m is V = a + bx.
Put a = 15.4 V and b = -5.10 V/m.
So, 
To find: Potential at x =0, 3, 6
Solution:
Potential at x = 0:
Potential at x = 3:
Potential at x = 6:
Therefore,
Answer:
(3.2,12)
Step-by-step explanation:
Since we have given that
Total cost of the gas put in his car = $12
Cost of gas per gallon = $3.75
Let the total cost of the gas be 'y'.
Let the number of gallons of gas be 'x'.
According to question, number of gallons of gas is given by
So, the number of gallons is 3.2 approximately.
Hence, the required coordinate pair is given by
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Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
51.28
———- = 112
———
100
X
X=
X=$45.79
