The diagram shows a part of a regular 10 sided polygon work out the size of the angle marked x
1 answer:
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Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
Answer:
Total number of students surveyed about their mode of transportation to school is 400.
Step-by-step explanation:
Here, given student who uses car as their mode of transport = 120 students
We have to find the total number of students who are surveyed.
Also, since complete circle represents 100% of data,
Total students who uses at least one mode of transport out of foot, bicycle, bus or car let it be x students.
Total percentage of students that uses bus, bicycle and on foot = (20 +15+35)% = 70%
Thus, percentage of students that uses car = 100 - 70 = 30%
Thus, 30 % of total students = 120
Mathematically, 30% of x = 120
Solving for x, we get,
Thus, total number of students surveyed about their mode of transportation to school is 400.