mommytobe2019
23.02.2021 •
Mathematics
Jeremy is taking a random sample survey of people walking through the park with a dog. Out of 30 people, 14 have a dog. If there are a total of 90 people in the park, how many people did not have a dog?
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Ответ:
Check explanation section (check the attached file for the diagram to the question).
Step-by-step explanation:
Without mincing words let's dive straight into the solution to the question/ problem above.
From the question above, we have that the point p = the point at which the bisecting angle of the triangles meets, that is the term known as incenter.
So, we have that; 7x - 6 = 5x + 4. Hence;
2x = 10; x = 5°.
Thus, the angle 5x + 4 = which is the angle KJP = 5x + 4. Recall from above that x = 5°.
Hence; 5x + 4 = 5(5) + 4 = 25 - 4 = 29°.
Also, the angle 7x - 6 = which is the angle KJP = 7x - 6. Recall from above that x = 5°.
Therefore, 7x - 6 = 7(5) - 6 = 35 - 6 = 29°.
The angle KJP + the angle LJP= the angle KJL.
Therefore, the angle KJL = 29° + 29° = 58°.
Angle KJL = 130 - ( angle KJL) - (angle KJL).
The angle KJL = 130° - ( 58°) - (52° ) = 70°