What is the unit rate of y = 2/3x ? ( must satisfy the definition of unit rate )

1 answer:

7 0

The unit rate is 2/3 because in the line y=2/3x, 2/3 is the slope (y=mx+b). The slope of the line is pretty much the definition of a unit rate because the unit rate is a constant addition or subtraction over and over. In addition, it is a straight line(y=mx+b) and the values are going up at a constant rate of 2/3.

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An investor invests $500 in a certain stock. After the first six months, the value if the stock has increased at a rate of $20 p

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Solve for x. <br> (parallelogram)

victus00 [196]

The value of x is 55°

Step-by-step explanation:

Given figure is a parallelogram.

In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.

This means that,

in the given parallelogram

m∠A=m∠C=x°

m∠B=m∠D=(2x+15)°

The sum of interior angles of a parallelogram is 360 degrees.

So,

m∠A+m∠B+m∠C+m∠D=360°

Putting the values of angles

$x+(2x+15)+x+(2x+15)=360\\x+2x+15+x+2x+15=360\\6x+30=360\\Subtracting\ 30\ from\ both\ sides\\6x+30-30=360-30\\6x=330\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{330}{6}\\x=55$