What value of x will make ONM similar SRQ by the SAS similarity theorem?
2 answers:
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
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
You might be interested in
Answer:
10,692
Step-by-step explanation:
GCF stands for Greatest Common Factor.
The way to find it is easy once you have the prime decomposition.
Search for common factors in the decomposition and take the least power, then multiply them all.
So, in our case, as the numbers are already broken down into prime factors , we have