Sam and george both worked hard over the summer. together they earned a total of $525. george earned $75 more than sam. a. write a system of equations for the situation. use s for the amount sam earned and g for the amount george earned. b. graph the equations in the system. be sure to label all axes and show your scale. c. use your graph to determine how much each person earned.

  Sam = $225      George = $300

Step-by-step explanation:

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525

a.

The two equations that can be created are "George" and Together"

The system is:

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.

BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

 s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq