The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
Answer: The value of x in trapezoid ABCD is 15
Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.
One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.
With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.
Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;
3x + 3x + 9x + 9x = 360
24x = 360
Divide both sides of the equation by 24
x = 15
Therefore, in trapezoid ABCD
x = 15
Answer:12
Step-by-step explanation:
Answer:
Option (B)
Step-by-step explanation:
Given polynomial in the question is,
x³ - 7x² + 13x - 3
One factor of the polynomial is (x - 3).
That means x = 3 is a zero factor of the polynomial.
For the other factor,
By using synthetic division,
3 | 1 -7 13 -3
<u> 3 -12 3 </u>
1 -4 1 0
= (x² - 4x + 1)(x - 3)
Therefore, the other factor of the polynomial is (x² - 4x + 1).
Option (B) will be the answer.
