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: The nurse needs 40 minutes to infuse the dose at a 20% faster rate.
Step-by-step explanation:
In order to calculate how much time the nurse needs to infuse the dose, you have to calculate how much is the 20%
The 20% of 50 minutes is obtained multiplying 50 by the factor that represents the 20% which is
= 10 minutes
Now, the time she needs to infuse the dose at a faster rate is obtained as follows:
50 minutes - 10 minutes = 40 minutes.
Notice that you have to subtract the 20% of 50 minutes to the original time to obtain a 20% faster rate.