The number 6 is halfway between 2.8 and...? the number 6 is halfway between -12 and...?
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if 6 is halfway between 2.8 and x, then the distance from 2.8 to 6 is 1/2 the distance from 2.8 to something find the distance
6-2.8=3.2 1/2 distance=3.2 multiply by 2 to find whole distance 3.2 times 2=6.4 add 2.8+whole distance=2.8+6.4=9.2
6 is halfway between 2.8 and 9.2
6 is halfwa between -12 and something find distance 6-(-12)=6+12=18 1/2 distance=18 times 2 18*2=36 add -12+36=24
6 is halfway between -12 and 24
blanks are 6 is halfway betwen 2.8 and 9.2 6 is halfway betwen -12 and 24
Equivalent expression for 18x and 9y
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18x+9y 9x+y x+1/9y 2x+4.5y x+2.25y
Two right triangles on a coordinate plane are similar but not congruent.Each of the legs of both triangle are extended by 1 unit,creating two new right triangles.Are the resulting triangles similar? explain using an example
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Virtually every time you try this stunt, the new triangles are NOT similar.
Example:
Triangle A₀ . . . legs = 3 and 4; hypotenuse = √25 = 5 . Triangle B₀ . . . legs = 6 and 8; hypotenuse = √100 = 10 .
Ratio of short legs = 6/3 = 2 Ratio of long legs = 8/4 = 2 Ratio of hypotenuses = 10/5 = 2 The triangles are similar.
Add 1 unit to all legs:
Triangle A₁ . . . legs = 4 and 5; hypotenuse = √41 Triangle B₁ . . . legs = 7 and 9; hypotenuse = √130
Ratio of short legs = 7/4 = 1.75 Ratio of long legs = 9/5 = 1.8 Ratio of hypotenees = √(130/41) = 1.78 .
New triangles are NOT similar.
I think this ONLY works when the original triangles are congruent, so the ratio of their similarity is 1:1. When each leg of both triangles is extended by the same amount, they are still congruent.
But the question stipulates that they are NOT congruent. So the answer to the question is: No. Never.
They are similar, by SSS. This shows that the sides are all similar but may not be congruent. And they started out similar, and they have the same scale factor. If you had one more angle besides the 90, you would be able to figure out the angles inside and have AA to justify. Sorry if this is a bad explanation.
A car releases 19.6 pounds of carbon dioxide for every 1 gallon of gasoline burned. Estimate the number of pounds of carbon dioxide released if 14.5 gallons are burned.
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In the given question, most of the information's are of immense importance. based on these information's, the required answer to the question can be found. It is already given that the car releases 19.6 pounds of carbon dioxide for 1 gallon of gasoline. The amount of carbon dioxide released for 14.5 gallons of gasoline needs to be found. So Amount of carbon dioxide released by 1 gallon of gasoline = 19.6 pounds Then Amount of carbon dioxide released by 14.5 gallons of gasoline = (19.6 * 14.5) pounds = 284.2 pounds So an estimated 284.2 pounds of carbon dioxide will be released by 14.5 gallons of gasoline.