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calculista

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

\(\frac{30}{25}=\frac{20+DZ}{20}\)

\(20\frac{30}{25}={20+DZ}\)

\(24={20+DZ}\)

\(DZ=4\ units\)

boffeemadrid

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.

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