АB=
Round your answer to the nearest hundredth.

9514 1404 393

  4.41

Step-by-step explanation:

The sides of interest in this right triangle are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(25°) = 4/AB

Multiplying by AB and dividing by cos(25°), we get ...

  AB = 4/cos(25°)

  AB ≈ 4.41 . . . . units

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