Find the value of x

_

The answer to your question is x = 16

Step-by-step explanation:

Use proportions to solve this problem

Process

1.- We know that the sides have the same measure, so we compare the small triangle with the big triangle

                     (x + 3) / 38 = y/ 2y

y means the length of the side with two lines.

2.- Simplification

                    (x + 3) / 38 = 1/2

3.- Solve for x

                    x + 3 = 38/2

                    x + 3 = 19

                    x = 19 - 3

4.- Result

                    x = 16        

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680