You need this key result: in any polygon, the sum of the interior angles is
where 
is the number of sides of the polygon.
Your polygon has seven sides, and the measures of all angles are given. So, we can write
Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.
We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:
and we can solve this equation for 
by dividing both sides by 30:
Finally, the required angles is 
<span>2(4x - 12) + 3x = 6x + 1
Distribute.
8x - 24 + 3x = 6x + 1
Combine like terms.
11x - 24 = 6x + 1
5x = 25
x = 5
</span>
Answer:
Step-by-step explanation:
k is a positive integer.
Consider an arithmetic sequence:
First, find n:
Now, find the sum of these 2k+1 terms:
Answer:
130 milliliters.
Step-by-step explanation:
a drug has a ratio of 115mg:5ml. This is equivalent to 23mg:1ml. 3g=3000mg, so we divide 3000 by 23 to get 130.434783. That is how many milliliters are needed. We round it to get 130 mL.
Answer:
Angle 2 is 36 degrees
Step-by-step explanation:
73 - 37 = 36
