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Answer:

[tex] \boxed{ \bold{ \sf{x = 16}}}[/tex]

[tex] \boxed{ \bold{ \sf{m < AFD = 82}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x + 18 = 3x + 50}[/tex]

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒[tex] \sf{5x - 3x = 50 - 18}[/tex]

Collect like terms

⇒[tex] \sf{2x = 50 - 18}[/tex]

Subtract 18 from 50

⇒[tex] \sf{2x = 32}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{32}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 16}[/tex]

The value of x is 16

Now, let's find value of m<AFD :

[tex] \sf{m < afd + 5x + 18 = 180}[/tex] ( sum of angle in straight line )

plug the value of x

⇒[tex] \sf{m < AFD + 5 \times 16 + 18 = 180}[/tex]

Multiply the numbers

⇒[tex] \sf{m < AFD + 80 + 18 = 180}[/tex]

Add the numbers

⇒[tex] \sf{m < AFD + 98 = 180}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \sf{m < AFD = 180 - 98}[/tex]

Subtract 98 from 180

⇒[tex] \sf{m < AFD = 82}[/tex]

Value of m<AFD = 82

Hope I helped!

Best regards!!

Answer:

A whole number, an integer, a rational number and a real number.

Step-by-step explanation:

It is a whole number, which makes it an integer, which makes it rational, which makes it real.

Answer:

2x+6y-4z

Step-by-step explanation:

multiply the two by each term and coefficient inside of the parentheses

Answer:

[tex]V = \frac{2}{3} cm^2[/tex]

Step-by-step explanation:

Given

[tex]V = 6s^2[/tex]

Required

Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]

To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula

[tex]V = 6s^2[/tex] becomes

[tex]V = 6 * \frac{1}{3}^2[/tex]

[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]

Combine Fractions

[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]

[tex]V = \frac{6}{9}[/tex]

Simplify Fraction

[tex]V = \frac{2}{3} cm^2[/tex]

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

Answer:

Answer is below. I have grouped it.

Step-by-step explanation:

=(11x-55) + (-5a+ax)

=11 ( x - 5) +a ( -5+x)

= 11(x-5)+a(x-5)

(11+a)(x-5)

(x-5)(11+a)

Answer:

Step-by-step explanation:

10 miles isn't very far in 21 hours are those numbers correct?

Velocity is distance/time

10/21 =.476 mph

Answer:

3x² + 10x + 5

Step-by-step explanation:

Sum the sides together for perimeter (P)

Starting with the base and going clockwise

P = x² + 5x - 2 + x² + 5 + x² + 1 + 4 + 3x - 3 + 2x ← collect like terms

  = 3x² + 10x + 5

Answer:

Step-by-step explanation:

1 sq. meter = 10.7639 sq.feet

15.8 sq. m = 15.8 * 10.7639

                 = 170.06962 sq. feet

Answer:

A. 0

Step-by-step explanation:

The circles are concentric. I.e there is no point where the circumferences of both circles ever touch each other. Hence there can be no tangent line possible that can be common to both circles at the same time.

Answer:

I hope this helps you

Step-by-step explanation:

this is how you work out algebra

y+ k-h+x+a

Answer:

Yes, more than half are being used.  (292 out of 546 used)

Step-by-step explanation:

The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.

1st class has 14 seats.

Business-class has 64 seats.

And the 4 economy classes have 117 each, meaning 117 * 4 = 468

So the total amount of seats are 14 + 64 + 468 = 546

So half that amount would be 273.

Now we can determine the number of seats being used.

1st class has (6/7) * 14 = 12 seats used

Buisness-class has (7/16) * 64 = 28 seats being used

Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used

So the total amount of used seats would be 12 + 28 + 252 = 292.

Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.

Cheers.

Answer:

3

Step-by-step explanation:

(27) ^1/3

We want to know what number times itself 3 times is equal to 27

3*3*3 = 27

(3^3)^1/3

3

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{27}[/tex]

27 is a perfect cube.

A number when multiplied by itself 3 times gives 27.

[tex]\sqrt[3]{3 \times 3 \times 3}[/tex]

[tex]\sqrt[3]{3^3 }=3[/tex]

The cube root of 27 is 3.

Answer:

Step-by-step explanation:

In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700

hence we have to calculate 25% of $700 and that will be the answer to the problem

we have

weekly savings = (25/100)*700

weekly savings = 0.25*700

weekly savings= $175

Hence Mary will save $175 per week if she follows the  25% plan  of her weekly earnings

I'll do the first two to get you started.

======================================================

Problem 1

Answer:  0-7+11 = 4

-----------------------------------

Explanation:

The bottom arrow is where we start. Specifically at 0 on the number line.

Then we move 7 units to the left. This is represented by -7 on the number line. So -7 is part of the addition equation.

Then we move 11 units to the right to arrive at 4 on the number line. This is the same as adding 11 to -7 to get -7+11 = 4 and that is the same as 0-7+11 = 4

======================================================

Problem 2

Answer:  1 + (-5) + 9 = 5

-----------------------------------

Explanation:

We now start at 1 on the number line. Move 5 units to the left to get to -4

Moving 5 units to the left is the same as subtracting 5, or adding on -5

So far we have 1 + (-5) which simplifies to -4

The last thing we do is add on 9 to go from -4 to 5. In other words, we move 9 units to the right when we go from -4 to 5

In terms of an equation,  -4 + 9 = 5

So overall, that's how I got 1 + (-5) + 9 = 5

Answer:

Hey there!

These would also be acute angles.

Let me know if this helps :)

Answer:

2.50

Step-by-step explanation:

Each bag of cheetos are 2 dollars. So 6 dollars for all of them. Add that by 1.50 and get 7.50 total. subtract that from ten and you get 2.50

Answer:

[tex]G(x)=(x-6)^2[/tex]

which agrees with the answer D of your options

Step-by-step explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

[tex]G(x)=(x-6)^2[/tex]

Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Answer:

-9

Step-by-step explanation:

y = 8

x = -3

Answer:

Your answer will be (-9)

This is how I got my answer-

2(2-y)-x

2(2-8)-(-3)

2 - 8= (-6)

2 × (-6) = (-12)

(-12) - (-3) = (-9)

Answer:

900

Step-by-step explanation:

45x20=900

maybe be the answer i really don't know, i'm sorry.

Answer:

y=a|x-h|+k  (absolute value function)

a= 3/5  (a easier way to know is it is somehow basically the slope of the line but it must be positive.)

h= -3 (you are correct)

k= -1 (you are correct)

Answer:

.75

Step-by-step explanation:

Answer:

I can tell you the points

(6 , 11) and (-7 , -11)

Step-by-step explanation:

Answer:

86x

Step-by-step explanation:

I hope this helps you

let's write -3 for x

f(-3)=4.(-3)^2+7.(-3)

f(-3)=4.9-21

f(-3)=36-21

f(-3)=15

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope

Slope of the points (-7, 8) and (0, 2) is

After that use the formula

y - y1 = m(x - x1)

To find the equation of the line

Equation of the line using point (0,2) and slope - 6/7 is

We have the final answer as

Hope this helps you

Answer:

n = 4

Step-by-step explanation:

We can expand, getting 10 + 5n = 3n + 18.

Then, combine all like terms, getting 5n - 3n = 18 - 10, which can be rewritten as 2n = 8.

Solve this by dividing both sides by 2, and get n = 4.

Answer: so its n=4

Step-by-step explanation:   This problem will require distribution

5(2+n) = 3(n+6)

10+5n=3n+18

Move all the variables on one side

5n-3n=18-10

2n=8

Divide by 2

n=4

5 ( 2 + n ) = 3 ( n + 6 )

First distribute the 5 and the 3. By doing that, your equation should look like

10 + 5n = 3n + 18 Now, subtract 3n from both sides, this way all the " n " would be on the same side making it easier to solve

By subtracting 3n from both sides the equation would be

10 + 2n = 18 Now subtract 10 from both sides

By subtracting 10 from both sides your equation should be

2n = 8 Divide 2 from both sides

By dividing your equation should look like

n = 4 which is your answer

Answer:

The total of people is the 100%.

68% owns a tv.

72% owns radios.

12% does not own anything.

Now, if we add those, we have:

12% + 68% + 72% = 152%.

This is larger than the 100%, then this means that there is a percentage of people that have both Tv and Radio, this percentage is:

152% - 100% = 52%

We have a surpass because we are adding those 52% two times (because they belong in two different groups)

So, the table is:

68% owns a tv.

72% owns a radio.

12% does not own anything.

52% owns both, radio and tv.

68% - 52% = 16% owns only tv.

72% - 52% = 20% owns only radio.

Then the Venn diagram consist in two circles, one with the 72%, other with the 68%, in such way that the circles have an intersection of the 52%.

Answer:

108

Step-by-step explanation:

if n = 9

Then 12 times n equals 108

Answer:

The correct option is;

x,                f(x)

-5,               3

-1,               -2

2,               -4

6,                 1

Step-by-step explanation:

The reflection of a point (x, y) across the x-axis is given by the relation;

Coordinate of the pre-image (x, y) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] Coordinate of image (x, -y)

Therefore, we have for the points as follows;

(-5, -3)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-5, 3)

[tex](-5, -3) \mapsto (-5, 3)[/tex]

(-1, 2)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-1, -2)

[tex](-1, 2) \mapsto (-1, -2)[/tex]

(2, 4)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (2, -4)

[tex](2, 4) \mapsto (2, -4)[/tex]

(6, -1)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (6, 1)

[tex](6, -1) \mapsto (6, 1)[/tex]