Answer:

Step-by-step explanation:




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Answer:
diameter = 2.5 feet
Step-by-step explanation:
Circumference of a circle is given as C = πd
Circumference of the tree trunk = 7.85 ft
π = 3.14
Diameter of the tree trunk = d
Thus:
7.85 = 3.14*d
Divide both sides by 3.14
7.85/3.14 = 3.14*d/3.14
2.5 = d
d = 2.5 ft
The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.
Answer:
x < 1/2
Step-by-step explanation:
5(2x + 1) < 10
Divide each side by 5
5/5(2x + 1) < 10/5
2x+1 < 2
Subtract 1 from each side
2x+1-1 < 2-1
2x <1
Divide each side by 2
2x/2 <1/2
x < 1/2
10^2 since 10(10) = 100 and 10 is multiplied by itself twice.