we are given three angles
first angle =x-4
second angle =3x
third angle =100
we can see that this is a triangle
and we know that
sum of all angles in any triangle is always 180
so,
first angle + second angle + third angle =180
now, we can plug values
and we get
now, we can solve for x
................Answer
You have to extract common factor 3a^2
=> 3a^2 (5 x^2 + 4x + 3)
If you need help to know where each term inside the parenthesis come from, this is hoy you do it:
15a^2x^2
------------- = 5x^2
3a^2
12a^2x
----------- = 4x
3a^2
9a^2
-------- = 3
3a^2
Answer: 3a^2 (5x^2 + 4x + 3)
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
Given:
The interior angle of a regular polygon is 132 degrees.
To find:
The given statement is possible or not.
Solution:
Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.
Then, the exterior angles are
We have, n vertices. So, the number of exterior angles is n.
Sum of all exterior angles = 48n degrees
We know that, sum of all exterior angles of a regular polygon is always 360 degrees.
Number of vertices is always a whole number. So, it cannot be a fraction value.
So, our assumption is wrong.
Therefore, a regular polygon cannot have an interior angle of 132 degrees.
Answer:
11,316 < 14,265
Step-by-step explanation:
< Smaller than Mount Evans
> Bigger than Mount Evans
= Same size as Mount Evans
<u><</u> Less than or equal to the size of Mount Evans
<u>></u> Greater than or equal to the size of Mount Evans
