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KonstantinChe [14]
2 years ago
9

Triangle △ABC has an altitude CD . Which of the three points, A, B, D are between the other two if angles A and B are both acute

?
Mathematics
1 answer:
dolphi86 [110]2 years ago
4 0
Hi!

Out of the three points D is between the other two acute angles if A and B are both acute.

Hope this helps!
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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
iris [78.8K]

Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

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CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

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3 years ago
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Answer:

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⇒ 3x = 7 ± 2

\implies x=\frac{7\pm 2}{3}

x=\frac{7+2}{3}\text{ or }x=\frac{7-2}{3}

\implies x = 3\text{ or }x=\frac{5}{3}

2) l 2x-5 l ≤ 8

⇒  2x-5  ≤ ±8

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x\leq \frac{5+8}{2}\text{ or }x\leq \frac{5-8}{2}

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