Answer:
A) AA postulate; 18
Step-by-step explanation:
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
Options:
(12,0) (0,12) (3,-1) (0,-4/3)
Answer:
(12,0)
, (3,-1) and (0,-4/3)
Step-by-step explanation:
Given

Required
Which option is true?
A coordinate point is of the form; 
So, we have to substitute the x and y values in the given equation.
A. For (12,0)
and 
becomes



<em>This is true</em>
B. For (0,12)
and 
becomes



<em>This is false</em>
C. For (3,-1)
and 
becomes


<em></em>
<em></em>
<em>This is true</em>
D. For (0,-4/3)
and 
becomes





<em></em>
<em>This is true</em>
<em></em>
<em>Hence, (12,0)
, (3,-1) and (0,-4/3) are true values of the equation</em>
We conclude that the solution to the linear equation is x = 1/24.
<h3>
How to find the number?</h3>
Let's define x as the number.
Now we want to write:
"the sum of 2/3 and for times a number...."
That can be written with the equation:
2/3 + 4*x
And we also know that:
"the sum of 2/3 and for times a number is equal to 5/6"
Then we can complete the linear equation:
2/3 + 4*x = 5/6
Now we need to solve it for x:
2/3 + 4x = 5/6
4x = 5/6 - 2/3
4x = 5/6 - 4/6
4x = 1/6
x = (1/4)*(1/6) = 1/24
x = 1/24
We conclude that the solution to the linear equation is x = 1/24.
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Actually in the first number the value is in the ones or 1 and the value of the second is in the tenths or 0.1