Answer:
x = 30
Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
The variable is "the number". To make it easier to write the equation
and work with it, let's call the variable 'M' for '<em>M</em>ystery number'.
3 times the number is 3M .
-- 10 less than that is <u>3M-10</u> .
-- the number plus 4 is <u>M+4</u> .
The question says that these two things are the same.
So ...
<u>3M - 10 = M + 4</u>
Subtract 'M' from each side: 2M - 10 = 4
Add 10 to each side: 2M = 14
Divide each side by 2 : <em>M = 7 </em>
Yes it is greater than 1,000
<u>Given</u>:
The given expression is 
We need to multiply the terms.
<u>Multiplication of the terms:</u>
Before multiplying the terms, first we shall find the factors of the quadratic equations.
Thus, we have;
Factor out the common terms, we get;
Let us cancel the common terms from the above expression.
Thus, we have;
Simplifying, the term, we get;
Now, we shall multiply the terms.
Hence, multiplying the terms, we get;
Thus, the multiplied value of the given expression is
I don't see a figure, so I'll mention two possibilities. There are more possibilities. Since the arc is named arc AC, points A and C must be on the circle. Since I don't see the figure, I don;t know where point B is.
If point B is on the circle, then angle ABC is an inscribed angle. The measure of an inscribed angle is half the measure of the intercepted arc, so m<ABC = 156/2 = 78.
If point B is the center of the circle, then angle ABC is a central angle. The measure of a central angle is the same as the measure of the intercepted arc, so m<ABC = 156.
Do you have one of the two situations above?
