Answer:
See explanation
Step-by-step explanation:
1. 400 students in total.
Category 1: Students which rode the bus (180)
Category 2: Students that were freshmen (115)
Let x be the number of students in both categories. Then
- 180 - x students rode the bus and were not freshmen
- 115 - x students were freshmen and didn't ride the bus
So, 115 - x = 25
x = 90
Thus,
- 90 students rode the bus and were freshmen
- 90 students rode the bus and were not freshmen
- 25 students were freshmen that did not ride the bus
- 400 - 90 - 90 - 25 = 195 students didn't rode the bus and were not freshmen
2. 350 students in total.
Category 1: Students bought pizza (168)
Category 2: Students that were sophomores (123)
Let x be the number of students in both categories. Then
- 168 - x students that bought pizza and were not sophomores
- 123 - x students were sophomores and didn't buy pizza
So, 123 - x = 32
x = 91
Thus,
- 91 students bought pizza and were sophomores
- 77 students bought pizza and were not sophomores
- 32 students were sophomores that did not buy pizza
- 350 - 91 - 77 - 32 = 150 students didn't buy pizza and were not sophomores
Answer:
2
Step-by-step explanation:
5-3=2
Answer:
R12
Step-by-step explanation:
Answer:
Statement 1: UV ║ WZ
Statement 2: Points S,Q,R and T are all lie on the same plane.
Statement 3: m<SQT=180 deg
Statement 4: m<SQV + m<VQT = m<SQT
Statement 5: m<SQV + m<VQT = 180 deg
Now, the next statement is as:
Statement 6: which is statement III.
(Same side interior angles theorem) m<VQT + m<ZRS = 180 deg
Statement 7: which is statement II.
(Substitution property of equality)
m<SQV + m<VQT = m<VQT + m<ZRS
Statement 8: m<SQV + m<VQT - m<VQT = m<VQT + m<ZRS - m<VQT
which is statement I.
(Subtraction property of equality)
So, the correct order of the given reasons to complete the proof is III, II, I.
Step-by-step explanation: