if $overline{cd}paralleloverline{xz}$ and $cx = 5$ units, what is $dz$?\n2 units\n3 units\n4 units\n5 units
if $overline{cd}paralleloverline{xz}$ and $cx = 5$ units, what is $dz$?\n2 units\n3 units\n4 units\n5 units
Answer
Explanation:
Step1: Use the basic - proportionality theorem
Since $\overline{CD}\parallel\overline{XZ}$, we have $\frac{YC}{CX}=\frac{YD}{DZ}$. We know that $YC = 25$, $CX = 5$, $YD=15$, and we need to find $DZ$. Substituting the values into the proportion $\frac{25}{5}=\frac{15}{DZ}$.
Step2: Cross - multiply
Cross - multiplying gives us $25\times DZ=5\times15$. So, $25DZ = 75$.
Step3: Solve for DZ
Dividing both sides of the equation $25DZ = 75$ by 25, we get $DZ=\frac{75}{25}=3$.
Answer:
3 units