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The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
<h3>What is the sum of all the angles of a regular polygon?</h3>
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
Learn more about interior angles of a regular polygon here:
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Answer:
In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of
Hope this helped you!
Step-by-step explanation:
Answer:
the apprentice can complete the job in 30 hours by working alone.
Step-by-step explanation:
Given:
Number of hours required to complete a job by welder = 18 hours
Number of hours welder work on job = 6 hours.
Number of hours required by apprentice to complete the job = 14 hours
We need to find Number of hours required to complete a job by apprentice alone.
Solution:
Let Number of hours required to complete a job by apprentice alone be 'a'.
Also let the job completed be = 1
Now we know that ;
Time required on job is equal to sum of Number of hours welder work on job and Number of hours required by apprentice to complete the job.
framing in equation form we get
Time required on job =
Now we can say that;
each has done a fraction of the work so we will add to two fraction as number of hours of work done by Total number of hours required to do the work to complete 1 job.
so we can frame the equation as;
By reducing the fraction we get;
Now we will make the denominator common to solve the fraction we get;
Now denominators are same so we will solve the numerator we get;
Multiplying both side by 3a we get;
Combining the like terms we get;
Dividing both side by 2 we get;
Hence the apprentice can complete the job in 30 hours by working alone.