9514 1404 393
Answer:
D) Rhombus
Step-by-step explanation:
The diagonals are perpendicular bisectors of each other, but are different lengths. The figure is a rhombus.
Answer:
x=9
Step-by-step explanation:
These two angles are equal because they are corresponding angles and the two lines are parallel.
13x-7 = 11x+11
Subtract 11x from each side
13x-11x -7 = 11x-11x+11
2x-7 = 11
Add 7 to each side
2x-7+7 = 11+7
2x = 18
Divide each side by 2
2x/2 = 18/2
x =9
Part (a)
<h3>Answer: x = -8</h3>
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Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
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Part (b)
<h3>Answer: x = 5/11</h3>
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Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
Answer:
Mean = sum of all observed values / sum of frequency
Mean= (1*2 +2*2 + 3*2 + 4*1 + 5*2 + 6*1) / (2+2+2+1+2+1)
Mean = 32 / 10
Mean = 3.2
