I NEED HELP ASAP!! Question is in the photo

Answers:

Both angles are the same measure

Explanation:

We have a 5 sided polygon, so this is a pentagon.

For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.

The diagram shows the following angle values

Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.

Adding up those five angles should get us 540 as mentioned earlier

V+W+X+Y+Z = 540

119+47+m+m+90 = 540

Let's solve for m

119+47+m+m+90 = 540

2m+256 = 540

2m = 540-256

2m = 284

m = 284/2

m = 142

Angle X has the measure of 142 degrees, and so does angle Y.

y/x = 142

Step-by-step explanation:

y = x

Z = 90

Since y and x is equal I will make them 2x

Pentagon = 540 degrees

540 = 2x + 90 + 47 + 119 (Clean up)

540 - 256 = 2x

284 = 2x (dvide by 2)

x/y = 142

Checking

540 = 2x + 90 + 47 + 119

540 = 2(142) + 256

540 = 284 + 256

540 = 540

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!