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3 years ago

If m ∥ k and m ∥ ℓ, then _____

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

$\large\huge\boxed{\text{If}\ m\ ||\ k\ \text{and}\ m\ ||\ l,\ \text{then}\ k\ ||\ l}$

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Three cities form a right triangle on a map. Cities B and C are the furthest apart. If cities A and B are 14 miles apart And cit

nekit [7.7K]

Answer:

26.1miles

Step-by-step explanation:

If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.

If cities A and B are 14 miles apart, then |AB| = 14miles

Also if cities A and C are 22 miles apart, then |AC| = 22miles.

To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.

|BC|² = |AB|² + |AC|²

|BC|² = 14²+22²

|BC|² = 196+484

|BC|² = 680

|BC| = √680

|BC| = 26.1miles

This means that cities B and C are 26.1miles apart

7 0

3 years ago

Let x represent the year and y represent the amount of sales, in millions of dollars, in the regression equation.

stellarik [79]

I believe the answer is D

5 0

3 years ago

-3x^2 plus 24x = 27 complete the square

Rudik [331]

You can divide the whole expression by -3:

$-3x^2+24x=27 \iff x^2-8x = -9$

Recalling that

$(x-a)^2=x^2-2ax+a^2$

Let's compare the middle term:

$-8x = -2ax \iff a=4$

So, we want to complete

$(x-4)^2 = x^2-8x+16$

Which differs from $x^2-8x$ by 16. So, if we add 16 to both sides, we have

$x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7$

3 0

4 years ago

Read 2 more answers

A local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer

andrezito [222]

Given that a local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer B offers terms of 17/13.

Let the list price of the plasma TVs be x, then after a chain discount of 18/12 by Manufacturer A, the selling price of the plasma TVs will be (1 - 0.18)(1 - 0.12)x = 0.82(0.88)x = 0.7216x

Also, after the discount of 17/13 by manufacturer B, the selling price of the plasma TVs will be (1 - 0.17)(1 - 0.13)x = 0.83(0.87)x = 0.7221x

Thus, the final selling price after discount by manufacturer A is 0.7216 and the final selling price after dscount by manufacturer B is 0.7221x.

Therefore, Manufacturer A offers a single equivalent discount rate that is the best deal.

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3 years ago

A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?

Semenov [28]

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

4 0

3 years ago