Sides
IF=SJ
FN=JP
NI=PS
Angles
I=S
F=J
N=P
Answer:
(a)
Area: 930 meters(m)
Perimeter: 122 meters(m)
(b)
Area: 616 centimeters(cm)
Perimeter: 116 centimeters(cm)
(c)
Area: 1008 millimeters(mm)
Perimeter: 128 millimeters(mm)
Explanation:
Area = length x width
Perimeter = length+width+length+width
Area for (a) is then 31 times 30 = 930
Area for (b) is then 44 times 14 = 616
Area for (c) is then 36 times 28 = 1008
Perimeter for (a) is 31+30+31+30=122
Perimeter for (b) is 44+14+44+14=116
Perimeter for (c) is 36+28+36+28=128
Answer: 5 minutes
Step-by-step explanation:
We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.
9514 1404 393
Answer:
top down: ∞, 0, 1, 0, ∞
Step-by-step explanation:
The equation will have infinite solutions when the left side and right side simplify to the same expression. This is the case for the first and last expressions listed.
2(x -5) = 2(x -5) . . . . expressions are already identical
x +2(x -5) = 3(x -2) -4 ⇒ 3x -10 = 3x -10 . . . the same simplified expression
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The equation will have no solutions when the x-coefficients are the same, but there are different added constants.
5(x +4) = 5(x -6) ⇒ x +4 = x -6 . . . not true for any x
4(x -2) = 4(x +2) ⇒ x -2 = x +2 . . . not true for any x
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The equation will have one solution when coefficients of x are different.
5(x +4) = 3(x -6) ⇒ 2x = -38 ⇒ x = -19
