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Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3
Answer: The slope is -3/2
Step-by-step explanation:
To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates.
y coordinates; 9 - 15 = -6
x coordinates : 8 - 4 = 4
Slope: -6/4 = -3/2
We know that
There are six important properties of parallelograms to know:
<span>1) Opposite sides are congruent (AB = DC and AD=BC).
2) Opposite angles are congruent (D = B and A=C)
3) Consecutive angles are supplementary (A + D = 180° and D+C= 180</span>°<span>).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
Part 1) </span></span><span>What is BC?
BC=AD-----------> BC=10 cm--------> by </span>Opposite sides are congruent
the answer Part 1) is BC=10 cmPart 2) <span>What is m∠BCD?
</span>m∠BCD=m∠DAB-----> m∠BCD=120°----> by Opposite angles are congruent
the answer part 2) is m∠BCD=120°part 3) <span>What is AB?
</span>AB=CD------> AB=5 cm----> by Opposite sides are congruent
the answer Part 3) isAB=5 cmPart 4) <span>What is EB?
EB=DE-----> EB=6.1 cm----> by </span>The diagonals of a parallelogram bisect each other.
the answer Part 4) isEB=6.1 cm
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A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is hung on its end. Find the stress, the strain, and the Young’s modulus for the material of the wire.
Solution:
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a lo
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prev Statement of a problem № 2618 next
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is hung on its end. Find the stress, the strain, and the Young’s modulus for the material of the wire.
Solution:
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a lo
main
prev Statement of a problem № 2618 next
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is hung on its end. Find the stress, the strain, and the Young’s modulus for the material of the wire.
Solution:
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a lo
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5/6+1x2/3x2
5/6+2/6
5+2/6
7/6
1 1/6
If you want a fraction answer jts 7/6, if you want it as a mixed fraction its 1 1/6
