Answer:
Angle 6 forms a pair of alternative exterior angles with angle 3.
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
Answer:
z<-4
Step-by-step explanation:
-2z-5>3
Add 5 to both sides.
-2z>8
Divide both sides by -2.
Z<-4
The sign must change because you are dividing by a negative.
Answer:
1/2
Step-by-step explanation:
Bridgette ate 1/4 of the pie, and 25% of the pie.
25% is converted to 1/4.
1/4 + 1/4 = 1/2.
1 - 1/2 = 1/2.
Bridge did NOT eat 1/2 of the pie.
Answer:
19
Step-by-step explanation:
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