39.- En la siguiente figura calcula el valor de "x" y "y". Ав" CD
6o°
Az
18x-2y
9x+y
A) X = 5, y = 15
B) x = 15, y = 5
C) x = 30, y = 60
D) x = 60, y = 30​

A) X = 5, y = 15

Step-by-step explanation:

De la figura:

∠EHD = ∠EGB (los ángulos correspondientes son iguales). Por lo tanto;

18x-2y = 60 (1)

Además, ∠CHF = ∠EHD (los ángulos opuestos serticales son iguales). Por eso;

18x-2y = 9x + y

18x-9x-2y-y = 0

9x-3y = 0 (2)

Para resolver x e y, resolvemos la ecuación (1) y (2) simultáneamente.

Multiplique la ecuación (2) por 2 y reste de la ecuación (1):

4 años = 60

y = 15

Pon y = 15 en la ecuación (2):

9x-3 (15) = 0

9x-45 = 0

9x = 45

x = 5

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

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!