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The statement(s) that are true is that the measure of the reference angle is 45°.
<h3>What is the conversion of radians to degrees?</h3>The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.
From the given information:
To degrees, we have:
A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.
315° is in the 4th quadrant, i.e.
= 360° - 315°
= 45°
Therefore, the statement(s) that is true is:
- The measure of the reference angle is 45°.
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The solution of the given equation w.r.t m is m = 3 ,i.e., option A
<h3>What are Algebraic equations?</h3>With one exception, algebraic equations are essentially algebraic expressions.
An = sign is required in all algebraic equations.
No matter what kind of equation it is, all equations use the = sign.
The next topic is algebraic expression, which lacks the operators =,,, >, and.
To put it simply, there is no comparison between two terms in an algebraic statement.
Algebraic expressions frequently use terms like polynomial and square root.
So you now recognize the distinction between the two?
1) An algebraic equation has the symbol =, and 2) an algebraic expression lacks any comparison symbols (such as > and =).
As per the question:
55/9 + 10/3 = 85/3
(55m+30m)/9 = 85/3
85m/9 = 85/3
85m = (85*9)/3
85m = 85*3
m = (85*3)/85
∴ m = 3
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