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3 years ago

Triangle CDE is translated down into the right forming triangle C’D’E’. Which congruency statement is correct?

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

Answer:

B: DCE=D'C'E'

I hoped this helped you!

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3. What is the solution to the equation 3x = 15? Express the

ivanzaharov [21]

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean $3^x=15$

so let s use the ln() function

$ln(3^x)= xln(3)=ln(15)$

so x = ln(15)/ln(3)

x = 2.4650

4 0

3 years ago

What is 18 2 rounded to the nearest whole number?<br> 56

Tju [1.3M]

Answer: 18

Step-by-step explanation: 18.2 rounded to the nearest whole number is 18. A whole number does not contain a decimal, so you can simply eliminate the decimal and the numbers after it.

7 0

4 years ago

Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

5 0

4 years ago

One day, the Early Bird Restaurant used

stiks02 [169]

Answer:

F. 23

Step-by-step explanation:

15/2 = 7.5

7.5 dozen eggs per 100 customers

15 + 7.5 = 22.5 which can be rounded to 23

= 23

3 0

2 years ago

What are the coordinates of the pre image of B

garik1379 [7]

Answer:

Point B = (-8 , -2) ⇒ the second answer

Step-by-step explanation:

∵ The figure ABCD is reflected across the x-axis

∴ The sign of y-coordinates of each point will change

Ex: If the point (x , y) reflected across the x-axis

its image will be (x , -y)

∵ B' = (-8 , 2)

∴ B = (-8 , -2) ⇒ the second answer

3 0

3 years ago

Read 2 more answers