Question

If CX = 5 units, then DZ = ___ units

Answer 1

Answer:

$DZ=4\ units$

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

$\frac{XY}{CY}=\frac{ZY}{YD}$

we have

CX=5\ units, CY=25\ units, YD=20\ units,

$XY=CX+CY$

$XY=5+25=30\ units$

$ZY=YD+DZ$

$ZY=20+DZ$

substitute the values

$\frac{30}{25}=\frac{20+DZ}{20}$

$20\frac{30}{25}={20+DZ}$

$24={20+DZ}$

$DZ=4\ units$

Answer 2

Answer:

If CX = 5 units, then DZ = 4 units

Step-by-step explanation:

From the figure, it can be seem that CD is parallel to XZ, therefore Triangle XYZ is similar to Triangle YCD.

Using the similarity condition, we have

$\frac{XY}{CY}=\frac{ZY}{YD}$

$\frac{XC+CY}{CY}= \frac{ZD+DY}{YD}$

Substituting the given values, we get

$\frac{5+25}{25}=\frac{ZD+20}{20}$

$\frac{30}{25}=\frac{ZD+20}{20}$

$\frac{600}{25}=ZD+20$

$24=ZD+20$

$ZD=4$

Thus, the value of ZD is 4 units.