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 many minutes are in 36 hours?
What is the numerator or denominator of 4/5
What is a direct combination reaction?
is it possible for a distance versus-time graph to be a vertical line?
When was William Shakespeare born
A child is standing across the street from his apartment . His mother is on their balcony . The angle of elevation between the child's eyes and his mothers eyes
How does transpiration play a  role in the water cycle ?
two identical freight cars roll without friction towards each other on a level track. one car rolls 2 m/s the other 1 m/s. after the cars collide they couple an
What is two thirds minus six thirds
Nadine can send or receive a text message for 15 cents or get an unlimited number for 5 dollars. Write and solve an inequality to find how many messages she can