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Answer:

After 2 hrs canoe rentals and kayak rentals cost would be same.

Step-by-step explanation:

Let the number of hours be 'x'.

Given:

Set up fee for Kayak rental = $5

Hourly rate for Kayaks rental = $8

Solution:

First we will find the total cost of Kayak rentals.

total cost of Kayak rentals can be calculated by sum of Set up fee for Kayak rental and Hourly rate for Kayaks rental multiplied by number of hours.

framing in equation form we get;

total cost of Kayak rentals =

Now Given:

Set up fee for Canoe rental = $9

Hourly rate for Canoe rental = $6

Now we will find the total cost of Canoe rentals.

total cost of Canoe rentals can be calculated by sum of Set up fee for Canoe rental and Hourly rate for Canoe rental multiplied by number of hours.

framing in equation form we get;

total cost of Canoe rentals =

Now to find the number of hours when both rentals would cost same we will make both the equation equal we get;

Combining like terms we get;

Now Dividing both side by 2 we get;

Hence After 2 hrs canoe rentals and kayak rentals cost would be same.

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is  60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as  EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m  + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle  = k

⇒ k + m = 180 °   ( as k and m are SUPPLEMENTARY ANGLES)

or,  k = 180 - 120   = 60 °

or, k = 60 °

Hence,  the measure of the supplementary angle of an interior angle is  60°