Respuesta :
Answer:
x=24 inches
Step-by-step explanation:
From the given information, consider ABCDE be the bow shaped polygon created by two segments intersecting forming two triangles with vertical angles that is ∠ACB=∠DCE.
AB=5 in, AC=8 in , CE=x inches and DE= 15 inches.
Now, From ΔABC and ΔDCE,
∠ACB=∠DCE(Vertically opposite angles)
∠BAC=∠DEC(Alternate angles)
Therefore, by AA similarity, ΔABC is similar to ΔDCE.
Thus, by using Proportionality theorem, we get
[tex]\frac{DE}{AB}=\frac{EC}{CA}[/tex]
⇒[tex]\frac{15}{5}=\frac{x}{8}[/tex]
⇒[tex]3=\frac{x}{8}[/tex]
⇒[tex]x=24 inches[/tex]
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Answer:
thats awnser is right i have k12
Step-by-step explanation: