The value of a is 80
Step-by-step explanation:
The distance of a point 
from the y-axis can be written as
because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point from the x-axis can be written as
Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as
- The distance of point B (a,a) from the x-axis can be written as
Since 
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means
Therefore,
And solving for a,
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Answer:
is the solution to the equation: 
The statement is true.
Option A is correct.
Step-by-step explanation:
We need to determine if 
is the solution to the equation:
Solving the equation first to find value of x
Combining like terms:
Subtracting 2x on both sides
Now, subtracting 12 on both sides
Divide both sides by -6
So, we get
Therefore we can say that is the solution to the equation:
The statement is true.
Option A is correct.
Answer:
for Part A
Answer is C.
Step-by-step explanation:
Here the angle, a is 60°, Opposite is 20 and adjacent is x.
Therefore we have,
Making x the subject gives us
Part B
Value of x to the nearest tenth
Answer:
13 with a remander of 1
Step-by-step explanation:
