Answer:
LON and MLN are both equal to 126 degrees,
since the angles with the value '4x + 7' and '7x - 35' degrees are equal to each other, you can rewrite it like this:
4x+7=7x-35
now, take the 7x away from both sides:
-3x+7=-35
then, subtract 7 from both sides:
-3x=-42
now, divide both sides by -3:
x=14
now that we know the value of x (14), we can plug it into the expressions.
4(14)+7=63
7(14)=63
add them together to find the angle MLN
and since the opposite angle (LON) is equal to MLN, they both = 126 degrees
hope this helped :)
Given function is a direct variation
Step-by-step explanation:
The direct proportion is defined as the increase in one quantity causes increase in other quantity.
If y is directly proportional to x, then it is given as:
y = kx
where k is the constant of proportionality
Given
y = 3x
Comparing the general form and given equation we see that both are same where k =3
So,
Given function is a direct variation
Keywords: Variation, functions
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Complete question:
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
what is the area of the sector?
Answer:
The area of the sector =
square units
Step-by-step explanation:
To find the area of the sector of a circle, let's use the formula:

Where, A = area
r = radius = 3
Substituting values in the formula, we have:

The area of the sector =
square units