Answer:
x = 47°
Step-by-step explanation:
This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.