Courtney's grandmother said . "Your grandpa has different shoe boxes with other stamps His shoebox has just 4 cents 6 cents and cents stamps. Which totals can you make with these stamps? Courtney said , "I wonder why there is a difference between Grandma's and Grandpa's shoeboxes . I like finding the largest total I can't make , but Grandpa's box has an unlimited amount of totals I can't make . I wonder why it works for some and not for others ? " She continues "I am going to investigate which three stamp amounts are like the Grandma's shoebox and which three stamp amounts are like the Grandpa's shoebox . am going to compare three different sets . I will try : 6 cents , 7 cents and 8 cents . Then I will try : 6 cents 9 cents and 12 cents . Finally I will try : 6 cents cents and 9 cents . " Explain how the three different sets are like either Grandma's shoebox or Grandpa's shoebox

∠cbe and ∠deb are same-side interior angles.

i took the test

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

here is a big fat