Answer:
ac is 200% of cd
Explanation:
To answer this question, we shall be making a visual representation.
Let’s take it one at a time.
Given;
b is the midpoint of ac
a b c
What this means is that a-b represents 50%, while bc represents another 50%
okay, we move on:
c is the midpoint of bd
b c d
What this means is that bc is 50%, while cd is another 50%.
So let’s combine the representations;
a 50% b 50% c 50% d
Now what does the question says again?
What percent of cd is ac?
From a to c, we can see two 50% which means 100%
while cd is just the regular 50%
So we can see that ac is actually twice cd
What we are saying here is , if cd is x, then ac is 2x
So we can restructure our question to mean, what percent of x is 2x?
That is simply 2x/x * 100 and that is 200%