Find the length of the segment indicated.

The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.

x = √(16.1^2 - 7.1^2)

x = √(259.21 - 50.41)

x = √208.8

x = 14.4499

Rounded to the nearest tenth x = 14.4

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