AnnalyceA14180 AnnalyceA14180
  • 03-11-2022
  • Mathematics
contestada

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x − 9, what is x? Round to the nearest tenth. a6.4 b9.0 c9.4 d10.0

Respuesta :

KendonC45837 KendonC45837
  • 03-11-2022

Lets draw a picture of the problem:

Since both triangles are congruent, this means that

[tex]\begin{gathered} AB=DE=41 \\ BC=EF=23 \end{gathered}[/tex]

and

[tex]AC=DF[/tex]

which means that

[tex]5x-9=36[/tex]

So, by adding 9 to both side, we have

[tex]5x=45[/tex]

and by dividing both sides by 5, we obtain

[tex]\begin{gathered} x=\frac{45}{5} \\ x=9 \end{gathered}[/tex]

Therefore, the answer is option b

Ver imagen KendonC45837
Answer Link

Otras preguntas

how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
What are the advantages and disadvantages of globalization
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?