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.

Step-by-step explanation:

g = s + 75

g + s = 525

That's just the answer for (a). You'll have to graph it yourself.

Guide to the methodology:

You need to plot 2 points for each equation and draw a line between the points. Where the two lines intersect gives you the values that solve the equations.

To get your co-ords,

Let g = 0

s = -75

Create a graph with g as one axis and s as the other. Plot a point of (0,-75)

Let s = 0

g = 75

Plot another point (0,75)

Draw a line between the two points. This is your line for g = s +75

You then need to plot a line for the second equation.

Let g = 0. S = 525. First co-ordinate is (0,525)

Let s = 0. G = 525. Second co-ordinate is (525,0)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.