Elmoswrld
Answered

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The figure shows AABC ~ ADEF with side lengths as indicated.
What is the value of x?

The Figure Shows AABC ADEF With Side Lengths As Indicated What Is The Value Of X class=

Sagot :

linandrew41

If two triangles are similar, that means their side lengths are proportional, so:

  [tex]\frac{BC}{AB} =\frac{EF}{DE} \\\\\frac{x}{21} =\frac{5}{7} \\7x = 21*5\\7x = 105\\x = 15\\[/tex]

Hope that helps!

devishri1977

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{BC}{EF}=\dfrac{AB}{DE}\\\\\\\dfrac{x}{5}=\dfrac{21}{7}\\\\\\x=\dfrac{21}{7}*5\\\\\\x= 3*5 =15[/tex]

x = 15

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