Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
Answer:
converge
Step-by-step explanation:
The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.
Answer:
Rob saved $24 on Saturday.
Step-by-step explanation:
Given:
Rob is saving to buy a new MP3 player.
Money earned in baby sitting = $11
Money saved =$6
First we will find the Percentage of amount he saved.
Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.
framing in equation form we get;
Percentage of amount he saved = 
Now Given:
Money earned in babysitting on Saturday = $44
We need to find the Money he saved on Saturday.
Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.
framing in equation form we get;
Money Saved on Saturday = 
Hence Rob saved $24 on Saturday.
Answer:

Step-by-step explanation:
We have been given an equivalence equation
. We are asked to find all the square root of the given equivalence equation.
Upon converting our given equivalence equation into an equation, we will get:
Add 53 on both sides:


Take square root of both sides:

Therefore, the square root for our given equation would be
.
The probability that no boys will be chosen is 0.2857
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.
Main Body:
Total students =22
total boys = 10
total girls =12
Now we have to chose 2 girls from 12 , so combination is used to select ,
⇒¹²C₂
Also, We have to chose 2 girls from 22 students
so it can be represented as ,
⇒²²C₂
Probability of choosing 2 girls = ¹²C₂/²²C₂
On solving this we will get = 0.2857
Hence the probability is 0.2857
To know more about probability , visit;
brainly.com/question/13604758
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