2 years ago

Plz help me with Geometry

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer:

the second one

Step-by-step explanation:

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What value of x will make ONM similar SRQ by the SAS similarity theorem?

Marta_Voda [28]

Answer:

The correct answer is 25

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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