L, m and n are points on the circumference of a circle with a center o. if ∠mln = 44°, find ∠mon?

m∠MON = 88°

Step-by-step explanation:

For better understanding of the solution, see the attached figure of the problem :

Given : A circle centered at O. L, M and N are the points on the circumference of the circle. m∠MLN = 44°

To Find : m∠MON

Solution : ∠MON is the angle subtended by arc MN at the center

Also, ∠MLN is subtended by the arc MN at the circumference of the circle.

Now, By using the theorem : The angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at the circle circumference.

We get, m∠MON = 2 × m∠MLN

⇒ m∠MON = 2 × 44°

⇒ m∠MON = 88°

step-by-step explanation:

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6