We will follow this strategy: we will find the value of x using a theorem about the sum of interior angles of any polygon, and then we will compute 2x to find A.

The theorem states that the sum of the interior angles of any polygon with $n$ sides is $(n-2)\times 180^\circ$

Your polygon has seven sides (so $n=7$ ), and the sum of the interior angles is

$10x + 2(2x) + 4(4x) = 10x + 4x + 16x = 30x$

So, using the theorem, we know that

$30x = (7-2)\times 180= 5\times 180 \iff x = \cfrac{5\times 180}{30} = 5 \times 6 = 30$ .

Since $x = 30$ and $A = 2x$ , we have $A = 2\cdot 30 = 60$

8 0

3 years ago

Can someone help me fill in these blanks. I’ll mark you the best answer.

Dafna1 [17]

Answer:

I cant see the whole question

4 0

3 years ago

What was significant about the battle of hampton roads?

xeze [42]

Answer:

The Battle of Hampton Roads, also referred to as the Battle of the Monitor and Merrimack or the Battle of Ironclads, was a naval battle during the American Civil War.

Explanation:

sorry thats all i know about that battle.

4 0

3 years ago