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soldier1979 [14.2K]
3 years ago
6

I-Ready | Construction of Triangles | Practice - Level G | Question 2

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0
B. Is correct I think. Hope this helped you
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Joe has some money in his
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Answer:

m= x-45

Step-by-step explanation:

M represents money.

X equals the amount of the money in the account.

-45 represents what he deposited from his account.

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Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠
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B,30

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.
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Let x and x+1 be these consecutive integers. For some base b, we can write

(x_{10})^2=220_b=2b^2+2b

((x+1)_{10})^2=251_b=2b^2+5b+1

If

x^2=2b^2+2b

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x^2+2x+1=2b^2+5b+1

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\implies2x=3b

Squaring both sides gives

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and so

4(2b^2+2b)=9b^2

\implies8b^2+8b=9b^2

\implies b^2-8b=0\implies\boxed{b=8}

(because the base has to be non-zero)

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2x-y=-1 in slope intercept form
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y=-2x+1

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