MATH SOLVE

6 months ago

Q:
# What is the value of n?Enter your answer in the box.n = cm

Accepted Solution

A:

You can solve this problem by applying the "Intersecting chords theorem". You must follow the proccedure below:

1. Let's represent each lenght, as below:

(P will be the point of intersection)

AP=4 cm

CP=6 cm

DP=3 cm

BP=n

2. Therefore, you have:

APxCP=BPxDP

APxCP=nxDP

3. Now, you must clear "n", as below:

n=APxCP/DP

4. When you substitute each value into n=APxCP/DP, you obtain:

n=(4 cm)(6 cm)/3 cm

n=24 cm²/3 cm

5. Finally, the result is:

n=8 cm

1. Let's represent each lenght, as below:

(P will be the point of intersection)

AP=4 cm

CP=6 cm

DP=3 cm

BP=n

2. Therefore, you have:

APxCP=BPxDP

APxCP=nxDP

3. Now, you must clear "n", as below:

n=APxCP/DP

4. When you substitute each value into n=APxCP/DP, you obtain:

n=(4 cm)(6 cm)/3 cm

n=24 cm²/3 cm

5. Finally, the result is:

n=8 cm