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Kitty [74]
3 years ago
8

I don’t get this geometry work, someone can help me? Or explain? Because my teacher does not know how to teach this!

Mathematics
1 answer:
enot [183]3 years ago
7 0
8. line rs is perpendicular bisector of line jl because they intersect, k is the midpoint because it is where they cross each other <span />
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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

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L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

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This means that the ladder is all against the wall (L=H').

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3 years ago
A bag contains 5 red marbles, 7 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probabili
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\displaystyle\\|\Omega|=\binom{16}{2}=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=\binom{5}{2}=\dfrac{5!}{2!3!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{120}=\dfrac{1}{12}\approx0.083

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Step-by-step explanation:

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3 years ago
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