Mathematics: A lug nut is used to secure a wheel on a vehicle. Most lug nuts are shaped like regular pentagons or regular hexagons. However, some lug nuts are shaped like regular heptagons (7 sided). What is the measure of each interior angle of a regular heptagon lug nut? Round your answer to the nearest degree

A lug nut is used to secure a wheel on a vehicle.

bks53

16.03.2022

$129^{\circ}$

Step-by-step explanation:

n = Number of sides of a polygon = 7

The interior angles of a polygon is given by

$\theta=\dfrac{(n-2)180^{\circ}}{n}$

$\Rightarrow \theta=\dfrac{(7-2)\times 180^{\circ}}{7}$

$\Rightarrow \theta=\dfrac{5\times 180^{\circ}}{7}$

$\Rightarrow \theta=\dfrac{900^{\circ}}{7}$

$\Rightarrow \theta=128.57^{\circ}\approx 129^{\circ}$

Each interior angle of a heptagonal nut is $129^{\circ}$ .

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chocolateFudge

18.01.2022

To solve this problem, work backwards.

On day 30, it is 100% algae.

On day 29, it is 50% algae.

On day 28, it is 25% algae(or 75% algae free).

It was on Day 28.

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