Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.

Point C is on line segment BD. Given BC =x+4, CD =5x, and BD =5x+7 determine the numerical length of CD

Sagot :

Sqdancefanidn

Answer:

  15

Step-by-step explanation:

You want the length of segment CD of segment BD, given BC=x+4, CD=5x, and BD=5x+7.

Segment addition

A whole segment is the sum of its parts:

  BD = BC +CD

  5x +7 = (x +4) +(5x)

  3 = x . . . . . . . . . . . . . subtract 5x+4 from boths sides

The length CD is then ...

  CD = 5x = 5(3)

  CD = 15

__

Additional comment

BC = 3+4 = 7; BD = 5(3) +7 = 22.

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.