20% increase
the percent increase =
× 100%
increase = $12 - $10 = 2$
increase =
× 100% = 20%
Let
x--------> the measure of the adjacent interior angle
y--------> the measure of an exterior angle at the vertex of a polygon
we know that
The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles
so
°
<u>Examples</u>
case 1)
<u>In a square</u>
°
so
°

In this case
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle
case 2)
<u>an equilateral triangle</u>
°
so
°

In this case
The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle
therefore
<u>the answer is</u>
sometimes
Answer:
63/8 , 7 7/8 or 7.875
Step-by-step explanation:
First convert the mixed number to an improper fraction: 5 1/4 = 21/4
And then multiply the fractions 21/4 x 3/2 = 63/8
Answer:
the slope is the coefficient of x= ⅕
intercept in x-axis → y=0 → f(x) = 0 → ⅕x -5 = 0 → ⅕x = 5 →x = 25 (25,0)
intercept in y axis : x= 0 → f(x) = ⅕(0) -5 = -5
(0,-5)
Answer:
= ![\left[\begin{array}{ccc}5\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.
When given the following system:
y = 5
4x = 3
One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).
y + 0x = 5
0y + 4x = 3
Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).
= ![\left[\begin{array}{ccc}5\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5Cend%7Barray%7D%5Cright%5D)