Question

The length of XY is 24 centimeters. The midpoint of XY is M, and C is on XM so that XD is 2/3 of XM. Point D is on MY so that MD is 3/4 of MY. What is the length of CD?

The length of CD is centimeters​

Answer 1

CD = 13 cm

Explanation:

We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.

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Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.

CD = CM + MD = 4 cm + 9 cm

CD = 13 cm