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°

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1