ACDE ~ APQR. CD = 9 m, EC = 15 m, PQ = 15 m. What is the length of RP? (1 point)
• 9 m
• 30 m
• 25 m
(-0.6 m
No.
Since ACDE ~ APQR,
CD/EC = PQ/PR
9/15 = 15/PR
PR = 15 * 15/9 = 25
You are correct. My apologies for the mistake.
Since ACDE is similar to APQR, we can set up the proportion:
CD/EC = PQ/PR
Substituting the given values:
9/15 = 15/PR
Cross multiplying:
9 * PR = 15 * 15
PR = (15 * 15) / 9
PR = 25
Therefore, the length of RP is 25 m.
To find the length of RP, we need to use the information that CD = 9 m, EC = 15 m, PQ = 15 m, and the fact that ACDE is similar to APQR.
Since ACDE is similar to APQR, we know that the corresponding sides are proportional. So we can set up the following proportion:
CD/EC = RP/PQ
To find RP, we can substitute the given values:
9/15 = RP/15
Cross multiplying, we get:
9 * 15 = 15 * RP
135 = 15 * RP
Dividing both sides by 15, we have:
RP = 135/15
RP = 9
Therefore, the length of RP is 9 m.