Ayeshakhan389idn
Answered

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plz help me with steps by steps asap its due in few minutes BRAINLIST and THANKS to the correct answer ​

Plz Help Me With Steps By Steps Asap Its Due In Few Minutes BRAINLIST And THANKS To The Correct Answer class=

Sagot :

MrRoyalidn

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

Since both shapes are similar, then:

[tex]LM : KN = RV : SP[/tex]

This gives:

[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]

As fraction:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]

Simplify:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]

Cross Multiply:

[tex]5(4x + 4) = 4(7x - 9)[/tex]

[tex]20x + 20 = 28x - 36[/tex]

Collect Like Terms

[tex]28x - 20x = 20 + 36[/tex]

[tex]8x = 56[/tex]

[tex]x = 7[/tex]

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