Factor completely x2 - 49

(x + 7)(x - 7)

Explanation: If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.

Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.

In the first position will be the factors of x² that are the same.

So we have x and x.

In the second position we will have the

factors of 49 that are the same, 7 and 7.

(x + 7)(x - 7) is your answer which is a factored version of x² - 49.

a - base

b - exponent

so,

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180