RS=8y+4,ST=4y+8,andRT=15y-9
What is the value of y
Find RS,ST,and RT
1 answer:
Even though you haven't bothered to explain it, or to attach a picture, I'm going to assume that 'R' and 'T' are the ends, and in order to go from 'R' to 'T', it's necessary to pass through 'S'. If that's true, then RS + ST = RT . Knowing that, we can say that (8y + 4) + (4y + 8) = 15y - 9 Remove parentheses: 8y + 4 + 4y + 8 = 15y - 9 Combine terms that are alike: 12y + 12 = 15y - 9 Subtract 12y from each side: 12 = 3y - 9 Add 9 to each side: 21 = 3y Divide each side by 3 : 7 = y<em>RS</em> = 8y + 4 = 56 + 4 = <em>60</em> <em>ST</em> = 4y + 8 = 28 + 8 = <em>36 </em> <em>RT</em> = 15y - 9 = 105 - 9 = <em>96</em> <em>Check: </em><u>RS + ST</u> = 60 + 36 = 96 <u>= RT</u> yay !
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