given that triangle abc is congruent to triangle def, ac = 21x - 19, and df = 3x + 17, find the measures of segment ac
a. 2
b. 9
c. 21
d. 23

Question

given that triangle abc is congruent to triangle def, ac = 21x - 19, and df = 3x + 17, find the measures of segment ac
a. 2
b. 9
c. 21
d. 23

jim_thompson5910 · Answer

place ABC directly over DEF
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jim_thompson5910 · Answer

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jim_thompson5910 · Answer

"given that triangle abc is congruent to triangle def"

and using CPCTC, we know that AC = DF

jim_thompson5910 · Answer

AC = DF

21x - 19 = 3x + 17

solve for x

once you have the value of x, you use it to find the length of AC

anonymous · Answer

i cant get x ); i kkeep getting random numbers plz help out

anonymous · Answer

its 2 (: wat i do next????

anonymous · Answer

is 2 my final answer??

jim_thompson5910 · Answer

x = 2 is not your final answer

jim_thompson5910 · Answer

plug x = 2 into AC = 21x-19 to compute the length of AC

directrix · Answer

From JThompson's work:

AC = DF

 21x - 19 = 3x + 17

You got x = 2

directrix · Answer

AC = 21x-19
AC = 21*2 - 19
AC = ?      @mikepeters1994

directrix · Answer

@mikepeters1994   Please stay in the thread while we are actively working. Thanks.

anonymous · Answer

ok thx