30 inches to 24 inches what is the percent of change

1 answer:

5 0

30/100=24/x solve for x, cross multiply 24 times 100 is 2400, so what times 30 = 2400. 80 times 30 is 2400, so 24/80=30/100 so it would be 20% percent of change

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Marta_Voda [28]

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Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

$\frac{NM}{RQ} =\frac{NO}{RS}$

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴ $\frac{10}{x} =\frac{8}{20}$

∴ $x=\frac{10*20}{8} =25$

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

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