Question
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
• 9 m
• 30 m
• 25 m
(-0.6 m
Answers
Answered by
oobleck
No.
Since ACDE ~ APQR,
CD/EC = PQ/PR
9/15 = 15/PR
PR = 15 * 15/9 = 25
Since ACDE ~ APQR,
CD/EC = PQ/PR
9/15 = 15/PR
PR = 15 * 15/9 = 25
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
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