Vernon's work for finding the value of x is shown below. Lines A C and B D intersect at point E. Angle A E D is (16 x + 8) degrees and angle D E C is 76 degrees. Step 1: 16x + 8 = 76 Step 2: 16x = 68 Step 3: x = 4.25 Did Vernon solve for the correct value of x? If not, explain where he made his error. Yes, he solved for the correct answer. No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other. No, he should have added 8 to both sides rather than subtracting 8 from both sides. No, he should have multiplied both sides by 16 rather than dividing both sides by 16.

Answer: $1,146 billion

Step-by-step explanation:

First find the number of years between 2004 and 2017.

= 2017 - 2004

= 13 years

To find out such answers, use the future value formula which shows the value of an amount being increased by a certain percentage over a number of periods.

Future value = Amount * ( 1 + rate) ^ number of periods

= 500 * ( 1 + 5%) ¹⁷

= $1,146 billion

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f(x) = -4x + 1

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f(3) = ..?

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#since the x in (x) changed into (3) this means that the x change into (3)

f(3) = -4(3) + 1

f(3) = -12 + 1

f(3) = -11

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Answer:

f(3) = 13

Step-by-step explanation:

4x3=12

f(3)=12+1

12+1=13

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Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Answer:

y= -3x -7

Step-by-step explanation:

You can either use y= mx+b or y-y1=m(x-x1)

I will use y= mx+b

y=mx+b

(-3,2) = (x,y) = -3 is x and 2 is y

-3 =m= slope

y=mx+b

2=-3(-3)+b  

2= -3 x-3 +b

2= 9+b

you then subtract 9 on both sides because now 9 is positive so you subtract it.

2=9+b

-9 on both sides

-7= b and the final answer is above

your welcome! :)

Answer:

c) is ur answer thanku

hope it helps

Answer:

12 1/2

Step-by-step explanation:

Answer:

25/2.... DON'T WORRY... I AM CORRECT

Also if i can, could I have brainliest...

Answer:

x=3

Step-by-step explanation:

The problem can be re-written as :

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

This is because x to the power of 1/2 is the same as the square of x.

multiply both sides by sqrt3

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

square both sides

[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]

simplify

[tex]3 ^{x} = 9 \times 3[/tex]

3 to the power of x is equal to 27

3 cubed (to the power of 3) is 27

so x is equal to 3.

hope i helped, and good luck :)

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Answer:

20 cm

Step-by-step explanation:

Answer:

The answer is 5 cm

Step-by-step:

5 x 5 = 25 cm^2

hope this helps

Answer:

-6m+12=30

-6m=18

m=-3

Step-by-step explanation:

Answer:

m = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6(m - 2) = 30

Step 2: Solve for m

Answer:

9.

Step-by-step explanation:

First solve 1+2. That is 3.

6/2 is 3.

So then we have 3 x 3, which is 9.

(pls mark as brainliest, thank you)

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

Answer:

12c8/d2.....option 1.........

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

Answer:120 boxes.

Step-by-step explanation: what I did was divided 450 by 3.75 and got 120. So therefore, they must sell 120 boxes in order to meet the findrasisng goal.

Answer:

harder daddy

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

in a square the diagonals always intersect to form 90 degree angles.

Answer:

3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 -0)/(4 - 7)

   = -9/-3

   = 3

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

The midpoint M of ST lies on x axis is true

the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Given :

ST has endpoints  S(-6, -3) and T(0,3)

Lets find out the midpoint M using midpoint formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Here our (x1,y1) is (6,-3) and (x2,y2) is (0,3)

Now apply the midpoint formula to find out midpoint M

[tex](\frac{-6+0}{2}, \frac{-3+3}{2})\\(-3,0)[/tex]

So the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Learn more :https://brainly.com/question/24472059

Answer:

[tex]9x + 5y < 7[/tex]

this is the way u perfom enequality therom

now weite ur answer

Step-by-step explanation:

Triangle inequality theorem =The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9 + 5 > 7

14 > 7 (True) ✔

5 + 7 > 9

12 > 9 (True) ✔

9 + 7 > 5

16 > 5 (True) ✔

So these side measures form a triangle.

hope you understood.

Answer:

x=3 cm

Step-by-step explanation:

x/3=5/5

x=3

Answer:

I believe the answer is B

Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

V = 4/3 π r^3

Plugging in the given information:

V = 4/3 * 3.14 * 7^2

V = 205.147.

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

Given:

The two ways table.

To find:

The number of girls in year 9.

Solution:

Using the two ways table, we get

Boys in year 10 = Total student in year 10 - Girls in year 10

                        = 256 - 123

                        = 133

Boys in year 9 = Total boys - Boys in year 10 - Boys in year 11

                        = 407 - 133 - 125

                        = 149

Girls in year 9 = Total students in year 9 - Boys in year 9

                       = 303 - 149

                       = 154

Therefore, the number of girls in year 9 is 154 and the correct option is C.

Answer:

18 liters of water to water 40 flower pots

Step-by-step explanation:

Because you doubled the amount of flower pots and you just do the same thing with the water