Question

If and CX = 5 units, what is DZ?

Answer 1

4

Explanation:

Answer 2

The question is missing the figure. So, it is attached below.

Answer:

DZ = 4 units

Explanation:

Given:

CD || XZ

YC = 25 units, CX = 5 units, YD = 20 units.

We know that,

If CD is parallel to XZ , then the line CD divides the sides XY and YZ of the triangle XYZ proportionally. This is true by triangle proportionality theorem.

Therefore, the lengths YC, CX, YD and DZ are in proportion. This gives,

`(YC)/(CX)=(YD)/(DZ)`

Rewrite in terms of DZ. This gives,

`DZ=(YD* CX)/(YC)`

Plug in
`YC=25,CX=5,YD=20`. Solve for DZ.

`DZ=(20* 5)/(25)\\\\DZ=(100)/(25)=4`

Therefore, the length of DZ is 4 units.