Answer:
d. 147 degrees
Explanation:
Please check the picture attached after reading the explanation :)
Assuming that l1 and l2 are parallel, we can identify that the angle at the intersection point of l3 and l2 is the alternate exterior angle of the angle that measures 57 degrees.
This means that that angle also measures 57 degrees.
We can see that l2, l4 and l3 form this little triangle at the corner and we now know that one of its angles measure 90 degrees and the other measures 57 degrees.
In a triangle, the sum of all its interior angles is equal to 180 degrees so we can find the last angle of the triangle by subtracting 90 and 57 from 180.
180-57-90
=33 degrees
A straight lines has an angle measure of 180 degrees as well, so we can find angle x by subtracting 33 from 180.
180-33
=147
Therefore, the measure of angle x is 147 degrees.
I hope this helps!
Here is how to solve it with long division and synthetic division.
Answer:
270
Step-by-step explanation:
307-31=276 so the estimate would be 270
The domain of a function is the set of input values the function can take
The domain is all set of real numbers
<h3>How to determine the domain</h3>
The expression is given as:
![\frac{x^2 - x - 12}{x - 4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%20-%20x%20-%2012%7D%7Bx%20-%204%7D)
Factorize the numerator of the expression
![\frac{(x - 4)(x + 3)}{x - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%20-%204%29%28x%20%2B%203%29%7D%7Bx%20-%204%7D)
Simplify: Cancel out the common terms
![x + 3](https://tex.z-dn.net/?f=x%20%2B%203)
The above expression can take any value of x.
Hence, the domain is all set of real numbers
Read more about domain at:
brainly.com/question/2264373
Difference of two squares.
(11m-n^2)(11m+n^2)