65,632.25 in expanded form is : 60,000 + 5,000 + 600 + 30 + 5 + .2 + .05
Answer:

Step-by-step explanation:
Given:
The triangle is shown below.
We know that the sum of all interior angles of a triangle is equal to 180°.
Therefore,

Now, plugging the value of 'x' in each angle measure and determining its values. We get:

Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.
Answer:
The number
is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:

In this question:
We have that:

Since
, we have that:



Completing the square:
The term that completes the square is
. So

The number
is added to the polynomial below to complete the square.
9 (c - 6) = 63
9c - 54 = 63
9c = 117
c = 13
Answer:
m∠B ≈ 41.81°
Step-by-step explanation:
If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,
sin∅ = 2/3
∅ = sin^-1(2/3)
∅ = 41.8103