m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

Answer:

1.104798 miles

Answer:

$2.52

Step-by-step explanation:

i did it

Answer:

  x + y = 14

Step-by-step explanation:

The question asks for the final answer to be an equation in standard form. The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are integers with no common factors, and 'a' is positive.

__

When working with parallel and perpendicular lines, standard form is an easy form to work with. The coefficients (a and b) of parallel lines will be the same. All that is different between parallel lines is the value of 'c'.

Given this fact, it is convenient to start by putting the given equation into standard form. For that, we want the x-term on the same side of the equal sign as the y-term.

Adding x to both sides of the given equation puts it in standard form:

  x +y = x +(-x) +3

  x + y = 3 . . . . . simplified

__

Now that we know our equation will be of the form ...

  x + y = (some constant)

we need to find the constant. We can do that by using the given point values for x and y.

For the given point (x, y) = (10, 4), the constant for the parallel line will be ...

  x + y = 10 + 4 = 14

  x + y = 14 . . . equation of parallel line through (10, 4)

Answer:

bruhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

r=8

Step-by-step explanation:

r*4=32

32/4=8

Therefore, r=8

Answer:

r = 8

Step-by-step explanation:

Ok don't worry. This question is not as hard as it should be.

It states it's a balanced equation. So that means 32 is equal to the other side.

there are 4 r's on the other side

32=4r

Divide 4 on both sides so the variable is independent

32/4=4r/4

8=r

Hope this helps!

Answer:

y < x - 2

y ≥ 2x + 5

Step-by-step explanation:

For the equation of the dotted line,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the dotted lines passes through the points (-7, -9) and (2, 0)

Slope = [tex]\frac{-9-0}{-7-2}[/tex]

    [tex]m_1[/tex] = 1

Therefore, equation of the line passing through (2, 0) and slope = 1 will be,

y - y' = m₁(x - x')

y - 0 = 1(x - 2)

y = x - 2

Since, shaded area is below the dotted line,

y < x - 2 will be the inequality.

Slope of the solid line passing through (-7, -9) and (0, 5) is,

[tex]m_2=\frac{-9-5}{-7-0}[/tex]

     = 2

Therefore, equation of the line passing through (0, 5) and slope = 2 will be,

y - 5 = 2(x - 0)

y = 2x + 5

Since, the given line is a solid line and shaded area is above the line,

y ≥ 2x + 5 will be the inequality.

Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.

Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

After factorization of the equation, the net result is 4x²(x + 6).

An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.

As per the provided data in the question,

4x³ consists of 4 and 3 x's

24x² consists of 4 and 6 and 2 x's.

Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²

Then put what is left over inside the bracket:

4x²(x + 6)

To know more about Factorization:

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Answer:

Step-by-step explanation:

Yep!

Answer:

Option A: Investments with smaller compounding intervals have a higher yield, because the interest earned is reinvested more quickly and thus gains compound interest more quickly

Step-by-step explanation:

Compounding could be done monthly, quarterly, semiannually or annually. Compound interest is simply when we add the interest to the principal sum of a loan or amount deposited. It's also referred to as interest which is accrued on interest.

The compound interest that will be earned mainly depends on the frequency of compounding. Now compounding could be done monthly, quarterly, biannually or annually. Now, If we compound monthly, we will have a higher interest return than if we compounded annually.

Thus, looking at the options, the correct one is Option A

Answer:

a

Step-by-step explanation:

Answer:

x<1/3

Step-by-step explanation:

Answer:

[tex] QR = 23 [/tex]

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

[tex] PQ = 4x - 1 [/tex]

[tex] QR = 3x - 1 [/tex]

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

[tex] PQ + QR = PR [/tex]

[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)

Solve for x

[tex] 4x - 1 + 3x - 1 = 54 [/tex]

Combine like terms

[tex] 4x + 3x - 1 - 1 = 54 [/tex]

[tex] 7x - 2 = 54 [/tex]

Add 2 to both sides

[tex] 7x - 2 + 2 = 54 + 2 [/tex]

[tex] 7x = 56 [/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{56}{7} [/tex]

[tex] x = 8 [/tex]

[tex] QR = 3x - 1 [/tex]

Plug in the value of x into the equation

[tex] QR = 3(8) - 1 = 24 - 1 [/tex]

[tex] QR = 23 [/tex]

Answer:

B

Step-by-step explanation:

hope you get the best grade

Answer:

min = (4, -136) ; max = (-2,80)

Step-by-step explanation:

The option is B

The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The cubic function:

f(x) = 2x³ - 6x² - 48x + 24

Find f'(x):

f'(x) = 6x² - 12x - 48

Equate f'(x) to zero:

6x² - 12x - 48 = 0

Find the roots of the quadratic equation:

x = -2

x = 4

Find f''(x):

f''(x) = 12x - 12

Plug x = -2

f''(-2) = -24 - 12 = -36 < 0

At x = -2 f(x) is minimum

f(-2) = 80

Plug x = 4

f''(4) = 48 - 12 = 36 > 0

At x = 4 f(x) is maximum

f(4) = -136

Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.

Learn more about the function here:

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Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Answer:

(3.5, 1)

Step-by-step explanation:

Answer:

A plane and a line can intersect in a point—- false

Step-by-step explanation:

Odds against = failures / successes

Probability = successes / (successes + failures)

0.21 = cats / (cats + no cats)

1 / 0.21 = (cats + no cats) / cats

4.76 = 1 + (no cats / cats)

3.76 = no cats / cats

So the odds against are 3.76 to 1.  

Answer:

1,620,000

Step-by-step explanation:

360×4500

=1,620,000

is the answer

Hey there!

[tex]Answer:\boxed{1,620,000}[/tex]

[tex]Explanation:[/tex]

[tex]360*4500[/tex]

Let's multiply to get our answer.

[tex]360*4500=1,620,000[/tex]

[tex]1,620,000[/tex]

Hope this helps!

Answer:

5

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

9r−11=34

Add 11 to both sides.

9r=34+11

Add 34 and 11 to get 45.

9r=45

Divide both sides by 9.

r= 45/9

Divide 45 by 9 to get 5.

r=5

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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Step-by-step explanation:

hope This helps for you

Answer:

Step-by-step explanation:

Common factors are the number's , variables found in each of the terms

1) 21x²y = 3 * 7 * x * x * y

  35xy² = 5 * 7 * x    *  y * y

Common factor = 7 * x * y

                          = 7xy

Answer :(iii) 7xy

2)a² - b² = (a + b)(a - b)

1 - x² = (1 - x) (1 +x)

(ii)

3) x³ - x = x(x² - 1)

            = x(x + 1)(x - 1)

Answer: (iv)

4) 225 =  15 * 15 = 15²

x³ - 225x = x(x² - 225)

                = x(x² - 15²)            {a² - b² =(a + b)(a - b)}

                = x(x + 15)(x - 15)

Answer: (ii)

5) 12a²b = 3 * 4 * a * a * b

   15ab² = 3 * 5 * a *     b * b

Common factor = 3 * a * b = 3ab

12a²b + 15ab² = 3*4*a²*b +  3*5*a*b²

                      = 3ab (4a + 5b)

Answer:(ii)

Answer:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

Comment on the form of the answer

If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.

Answer:

A

Step-by-step explanation:

edge 23

Answer:

I think it would be B but im not completly sure.

Answer:

No does not contain the same length

Step-by-step explanation:

Given that

A(-4,2) , B (1,4), C (2, -1)

Now

AB would be

= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]

And, BC is

[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]

As we can see that the AB and BC are not equaled

So,

AB ≠ BC

Due to the different length

Therefore they do not contains the same length

We simply applied the distance formula due to which the length could be determined and the same is to be considered

Answer:

$100+$20=$120

Answer:

23/100

0.23

Step-by-step explanation:

Hope it helps....

Answer:

23% as a fraction is 23/100.

23% as a decimal is 0.23

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.

200+40+2=242%

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