Solve for AC. Round to the tenths place.

AC = 28.9 m (nearest tenth)

Step-by-step explanation:

Given:

B = 83°

A = 38°

c = BA = 25 m

C = 180 - (83 + 38) = 59°

Required:

AC (b)

Solution:

Apply the Law of Sines

Plug in the values into the equation

Multiply both sides by sin(83)

AC = 28.9 m (nearest tenth)

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

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