Find the value of x that makes ADEF - AXYZ.
6
2x - 5
F
22
14
IZ
12
X

x = 8

Step-by-step explanation:

For the triangles to be similar then the ratio of corresponding sides must be equal, that is

= , substitute values

= ( cross- multiply )

12(2x - 5) = 132 ( divide both sides by 12 )

2x - 5 = 11 ( add 5 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

step-by-step explanation:

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