How many students were surveyed about their mode of transportation to school? i dont understand

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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.