The measure of the supplement of an angle is 25 degrees more than 7 times the measure of the angle. To the nearest hundredth, what is the measure of the angle?

The measure of the angle is 19.38°.

Step-by-step explanation:

An angle is a supplement of another angle when its sum equals 180 degrees. In this case:

And according to the statement:

Where:

- Angle, measured in degrees.

- Supplement, measured in degrees.

The following system of equations is formed:

The solution of the system is and . And finally, the measure of the angle is 19.38°.

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

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy