What is the value of x, when -9(x-5)=x+22 1/2​

Answers

Answer 1
Answer:

Answer:

\large\boxed{x=(9)/(4)=2(1)/(4)}

Step-by-step explanation:

-9(x-5)=x+22(1)/(2)\qquad\text{multiply both sides by 2}\n\n(2)(-9)(x-5)=2x+(2)\left(22(1)/(2)\right)\n\n-18(x-5)=2x+45\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\n\n(-18)(x)+(-18)(-5)=2x+45\n\n-18x+90=2x+45\qquad\text{subtract 90 from both sides}\n\n-18x+90-90=2x+45-90\n\n-18x=2x-45\qquad\text{subtract}\ 2x\ \text{from both sides}\n\n-18x-2x=2x-2x-45\n\n-20x=-45\qquad\text{divide both sides by (-20)}\n\n(-20x)/(-20)=(-45)/(-20)\n\nx=(45:5)/(20:5)\n\nx=(9)/(4)\to x=2(1)/(4)

Answer 2
Answer:

Answer:

x = 2.25

Step-by-step explanation:

 -9(x - 5) = x + 22 1/2

Distribute the nine and then add 9x to both sides

 -9x + 45 = x +22 1/2

+ 9x        + 9x

Then try to get x alone

       45 = 10x + 22 1/2

     -22 1/2       -22 1/2

    22.5 = 10x

   (22.5)/(10) = (10x)/(10)

   2.25 = x


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Answers

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Answers

Answer:

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Answers

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~please only answer if you know for sure~
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Answers

3 feet by 5 feet is the original figure.

We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle

We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle

The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because  the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.

The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5

The 6 feet by 10 feet falls into the category of Similar because  6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.

The 3 feet by 5 feet falls into the category of Similar because  it is the same exact figure just rotated!