All categories

3 years ago

I need the answer written

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

x = 180 - (31 + 40)

Step-by-step explanation:

Note that the angle of a straight line has a measurement of 180°

31 + x + 40 = 180°

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Subtract 31 and 40 from both sides.

x + (40 + 31) (- (40 + 31)) = 180 (- (40 + 31))

x = 180 - (40 + 31)

padilas [110]3 years ago

5 0

Answer:

x = 180 - (31 + 40)

Step-by-step explanation:

x = 180 - (31 + 40)

You might be interested in

Solve -9m-4+2m = -9-7m+5, and interpret the results.

Drupady [299]

Answer:

-9m - 4 + 2m = -9 - 7m + 5

-7m - 4 = -7m - 4

-7m + 7m = -4 + 4

0 = 0

This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.

5 0

3 years ago

Which equation has infinitely many solutions?

777dan777 [17]

Answer:

Step-by-step explanation:

4 0

3 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

3 years ago

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and

V125BC [204]

Answer:

5.5 gallons to 6.9 gallons

Step-by-step explanation:

Daily a cow

produces a mean of 6.2 gallons (average

of 6.2 gallons, meaning they already

found the mean, "averaged" it out for

you) with a deviation of 7 gallons ("give

or take" .7 gallons). On any given day

(throw these words out) 68% of the cows

(don't need this information to answer

the question either, thrown in to confuse

you) will produce an amount of milk

within which of the following ranges?

Just subtract the deviation ("give or

take number").7 gallons from the mean

(average (already determined)) 6.2

gallons which is 5.5 gallons THEN add

the deviation ("give or take number").

7 gallons to the mean (average (already

determined)) 6.2 gallons which is 6.9

gallons. Your answer is A 5.5 gallons to

6.9 gallons. You don't even have to go

crazy on the math on this question you

can rule them all out but A immediately

with subtracting .7 from 6.2.

hope it helps!

4 0

3 years ago

Read 2 more answers

Steven put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand. Use what y

Colt1911 [192]

About 1,000 puzzle pieces

3 0

3 years ago