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Lera25 [3.4K]
3 years ago
5

Steps please. If 2 or more people answer I will name Brainliest!!!

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
Vertical angles are equal.

Thus 3x - 27 = 2x + 5
x - 27 = 5
x = 32
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Lg(10x+200)=lg<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title=" {x}^{2} " alt=" {x}^{2} "
Oksana_A [137]

Answer: x = {-4, 5}

<u>Step-by-step explanation:</u>

log (10x + 200) = log (x²) + log (10)

log (10x + 200) = log (10x²)

     10x + 200 = 10x²

                   0 = 10x² - 10x - 200

                   0 = x² - x - 20

                   0 = (x - 5)(x + 4)

                   0 = x - 5    0 = x + 4

                  x = 5           x = -4

Check for extraneous solutions:

             10x + 200 > 0                  x² > 0

x = 5      10(5) + 200 > 0               (5)² > 0        both are satisfied

x = -4     10(-4) + 200 > 0             (-4)² > 0        both are satisfied

            Both solutions are valid!

 

8 0
3 years ago
PLS HELP HURRY!!Its ten points​
Taya2010 [7]

Answer:

<u>12in long</u> and <u>10in wide</u>

Step-by-step explanation:

If he were to trim the edges of the photographs to 12\frac{1}{2} and 10\frac{1}{2}, the edges of the photographs from Russ's vacation would be too long and wide to fit inside of the photo album.

If you convert the fractions into decimals, you can easily discern that the vacation photos would be too large to fit inside of the photo album.

Photo Album:

12\frac{1}{8} = 12.1 inches •Original

10\frac{1}{8} = 10.1 inches •Original

• Too large:

12\frac{1}{2} = 12.5 inches > 12.1 - 12.5 = -0.4 •Too large

10\frac{1}{2} = 10.5 inches > 10.1 - 10.5 = -0.4 •Too large

• Just right:

10 = 10 inches > 10.1 - 10 = 0.1 •Space left

12 = 12 inches > 12.1 - 12 = 0.1 •Space left

8 0
4 years ago
Is the line x=-3 parallel to the line y=1/3
Zina [86]

Answer:

No, The line x = 3 is not parallel to the line y = 1/3

Step-by-step explanation:

Here's What the graph looks like on Demos graphing calculator.

High Hopes^^

Barry-

8 0
3 years ago
The sum of three whole numbers in 27. The mean of the three whole numbers is 9, and the greatest number is twice the least numbe
Kitty [74]
B I think. Good luck
6 0
3 years ago
Read 2 more answers
Mrs. Clearwater paid $38.64 to fill up 12 gallons of gasoline in her car. What is the price for 1 gallon of gasoline?
vfiekz [6]

Answer: $3.22

Step-by-step explanation:

We will start by doing 38.64 divided by 12

Then we will get the answer 3.22.

$3.22 is the answer.

6 0
3 years ago
Read 2 more answers
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