Answer:
A quarter 
of one lap of the track.
Step-by-step explanation:
Three students ran ran a relay and took turns running equal parts of the track.
The race was three-fourths of a lap long.
Let the length of one lap of the track=x
The length of the race
Since each of the students ran equal part,
Length run by each student
Therefore, each student ran a quarter of one lap of the track.
Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
Step-by-step explanation:
1. radius=13in
diameter= 2r =2(13)=26in
area=πr²= 22/7*(13)²
531.14in²
circumference= 2πr=2*22/7*13
81.71in
2.radius=32ft
diameter= 2r =2(32)=64ft
area=πr²= 22/7*(32)²
3218.28ft²
circumference= 2πr=2*22/7*32
201.14ft
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
