<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>


As we assumed the original side to be <em><u>s</u></em> .
<em>Hence, the original side's length 5 inches </em>
Answer:
71
Step-by-step explanation:
vertical sides are congruent
x+30=101
x=71
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that 
If we replace the factored numerator with the original one, we get:

Since we have an equality, this relation is proved.
To find the measure of the third angle you should keep in mind the following:
The sum of the three interior angles of a triangle is 180 °.
We have then
k + 27 + 10 = 180
Clearing k:
k = 180-27-10 = 143
K = 143 °
Answer:
the value of k is 143 °