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Natalka [10]
2 years ago
9

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs

4 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 6 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
Mathematics
1 answer:
Allushta [10]2 years ago
6 0

answer:6

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

Step-by-step explanation:

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artcher [175]

Step-by-step explanation:

Your answers for 1 and 2 are correct.  MN and LN are both radii of the circle, and therefore equal.  And NK can be found using Pythagorean theorem.

To find LP (and PM), we can use similar triangles:

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NP ≈ 3.85

NQ is a radius of the circle, so it is equal to 10.  PQ is therefore:

PQ ≈ 10 − 3.85 = 6.15

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Before we find LR, let's find RK using similar triangles.

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LR ≈ 24 − 17.33 = 6.67

As you found, MK = 24.

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