Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Answer:
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Step-by-step explanation:
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Question A is b and question B is d
Answer: 25 bikes and 55 cars were used.
Step-by-step explanation:
Let b represent number of bicycles that the students ride to school.
Let c represent number of cars that the students drive to school.
At Billy's school, 80 students come to school by bike or car. It means that
b + c = 80
A bike has 2 wheels. A car has 4 wheels. Together the vehicles that arrive at the school have 270 wheels. It means that
2b + 4c = 270- - - - - - - - - - 1
Substituting b = 80 - c into equation 1, it becomes
2(80 - c) + 4c = 270
160 - 2c + 4c = 270
- 2c + 4c = 270 - 160
2c = 110
c = 110/2
c = 55
b = 80 - c = 80 - 55
b = 25
The formula for volume of a sphere is : V= 4/3 * PI * r^3
r = 1/2 the diameter: 14/2 = 7 feet
Volume = 4/3 * 3.14 * 7^3
Volume = 1,436 cubic feet.
