Answer:
see explanation
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, thus
5x + 20 + 7x - 8 = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Thus
∠ RQP = 10x = 10(14) = 140°
∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )
∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°
∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°
Answer:
15cm^2
Step-by-step explanation:
it is basic math to me.
The answer to this would be 4(w-4)
We can take any two points from the graph and calculate the slope.

For any two points in the form of (x1, y1), (x2, y2).
Let's use (0, 80) and (200, 110).

Simplify:

So this is our slope. Now we can plug this along with one of the points into point-slope form to find our equation:

Where 'm' is the slope and (x1, y1) is a point on the line.
Let's use (0, 80):

Distribute 3/20 into the parenthesis:

Add 80 to both sides:

or

This is our equation. It's in slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
So the y-intercept is 80, it represents what 'y' is(daily earnings) when 'x'(total sales) is 0, so this must be her fixed wage rate.
And the slope is 0.15, which represents for every change in x, there is a 0.15 * x change in y. This is her rate of commission, she gets 15 cents for every sale.