Using the points [164,166]and[173,174] find the slope
1 answer:
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Answer:
Step-by-step explanation:
( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
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Collect like terms
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Subtract 18 from 50
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Divide both sides of the equation by 2
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Calculate
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The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
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Multiply the numbers
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Add the numbers
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Move constant to R.H.S and change it's sign
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Subtract 98 from 180
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Value of m<AFD = 82
Hope I helped!
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Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = = 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = = 100%