In the figure below, AB AD andAC bisects A. Solve for x. Then, using that value, find the length of AC

Here, we want to find the sum of the first 46 terms of the series

Here, what we have is a series with a first term of 12 and a common difference of 15-12=18-15 = 3

Before we proceed to get the sum of the first 46 terms, we can calculate the last term

The last term is given as;

Now, we can apply the formula to get the sum

The formula is given as;

Explanation

the Pythagorean theorem states that for all rigth triangles:

Step 1

so, we have two rigth triangles:

so,

It is given that the company charges a fixed fee of $10 on comiing to home and then the additional charges are $40 per hour.

Let x be the number of hours and y be the total charges

then the linear equation will be:-

y=40x+10

So the correct option is the last one y = 40x+10

Solution

Given 18,20,18,2,7

The variance formula is given as;

Explanation:

The function is given below as

Find

Hence,

The final answer is

The FIRST OPTION is the correct answer

The formula for rotation 270° counterclockwise is: A(x,y) ---> A'(y,-x)

If the point is A(-5,2) then the answer would be: A'(2,-(-5)) = A'(2,5) after rotating 270° counterclockwise.

The initial expression is:

2 ( y - 11 ) = 16

Using the distributive property:

2y - 2*11 = 16

2y - 22 = 16

Adding 22 on both sides:

2y - 22 + 22 = 16 + 22

2y = 38

Dividing by 2 on both sides:

Answer: y = 19

Area of a rectangle: length*width

Replacing with Area = 20 and width = 4:

20 = lenth*4

4 is multiplying on the right, then it will divide on the left

20/4 = length

5 meters = length

Let the measure of arc [tex]BC[/tex] be [tex]\alpha[/tex].

[tex]\frac{70+\alpha}{2}=85 \\ \\ 70+\alpha=170 \\ \\ \alpha=\boxed{100^{\circ}}[/tex]

50% means 50/100 = 0.5

300% means 300/100 = 3

Now,

A number, let it be "100" (you can take any number, the answer would be the same).

It is decreased by 50%, so

100 - (0.5)(100) = 50

Then, it is increased by 300%, so

50 + 3(50) = 200

So, we started off with 100 and now we're at 200.

The questions asks ORIGINAL is what percent of FINAL.

So, original was 100 and final is 200, essentially:

100 is what percent of 200??

100/200 = 0.5

In percentage,

0.5 * 100 = 50 %

J is the correct choice.

ANSWER

f(1) = 8

EXPLANATION

In this problem, we have to evaluate the function f(t) in t = 1. To do so, substitute t with 1 in the equation, and solve,

Hence, f(1) = 8.

According to the given data we have the following equation:

y + 10 = -15​

To solve the variable y of the equation above we would make the following:

y + 10 = -15​

We would move the number 10 to the other side, so it would change its sign.

y=-15-10

Finally add the numbers So:

y=-25

The result of the y would be -25

Too Fly For You, this is the solution:

• Race route in reality = 3 + 2 + 3 + 2 = 10 kilometers

• Race route ion poster = 8 inches * 20 = 160 inches

• 160 inches divided by 12 = 13.33 feet

Rounding to the next tenth of a feet = 13.3

Answer:y=4

Step-by-step explanation:

Answer: y= 4

Step-by-step explanation:

4 x 4 = 16

16 x 4 = 64

where y are my slices of pizza

We have the next information:

1/10 of the T-shirts sold were size extra

1/8 were extra small

Now, we need to find which fraction represents a higher number.

Convert to decimal each fraction:

and

Hence, 1/8 is greater than 1/10. So, more extra small tshirts were sold.

We need to calculate the following quotient:

We know that:

Then:

Using the distributive property of multiplication, we factor the 4n³ term of the numerator:

we have the expression

18 = -6m​

solve for m

that means

isolate the variable m

so

Divide both sides by -6

18/-6=-6m/-6

simplify

-3=m

Rewrite

ANSWER:

In the given expression, we have to solve for 'x', and show the steps.

Next, I am gonna solve it for 'x'

We have solved for 'x'.

The sequence of numbers uses 21 numbers whereas each number in the sequence must be a factor or multiple of the previous number is 1, 7, 21.

We are given numbers from 1 to 24.

We need to find the longest sequence using the number 21 such that each number in the sequence must be a factor or multiple of the previous number.

Let the last number be 21.

The previous number of 21 must be a factor or multiple of 21.

From the given numbers we can only choose 7 as it is a factor of 21.

So, the sequence will be ...., 7, 21.

Now,

The previous number of 7 must be a factor or multiple of 7.

From the given numbers we can only choose 1 as it is a factor of 7.

So, the sequence will be 1, 7, 21.

There is not any previous number to 1.

So, our final sequence will be 1, 7, 21.

Thus, the sequence of numbers uses 21 numbers whereas each number in the sequence must be a factor or multiple of the previous number is 1, 7, 21.

To learn more about factors and multiple visit:

https://brainly.com/question/890231

#SPJ9

There are 245 bottles to fill the milk.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A farmer gets 24.5 L of milk from each of his cows per day.

And, He milks all five cows and pours the milk equally into 0.5-L bottles.

Now,

Since, A farmer gets 24.5 L of milk from each of his cows per day.

And, He milks all five cows.

So, The total amount of milk = 24.5 x 5 L

                                            = 122.5 L

Since, He pours the milk equally into 0.5-L bottles.

So, The number of bottles = 122.5 L ÷ 0.5 L

                                         = 245

Thus, There are 245 bottles to fill the milk.

Learn more about the divide visit:

https://brainly.com/question/25018554

#SPJ1

We will have the following:

We calculate the total surface area as follows:

So, the total surface area of the pyramid is 341 in^2.

To transform a percentage to a simple fraction we divide the number by a 100, then we have:

Therefore 48% in simple fraction is equal to 12/25

Bryson:

Already made PS4's = 30

Number of PS4's per hour = 5

Fady :

Number of PS4's per hour = 8

x= hours

y= ps4's

Bryson equation:

y= 30+5x

The number od PS4's made by Bryson (y), must be equal to the sum of the already made PS4's (30) and the product of the number of PS4's made per hour (5) and the number of hours (x)

Fady:

y= 8x

System of equations:

y= 30+5x

y= 8x

Let:

x = Number of tickets

a = Price of each ticket

T = Total amount of money

so:

Since nine tickets were refunded,

let:

y = Number of tickets refunded.

Answer:

$3912.75

as we can see from the graph coordinates of point C are (2,2) and coordinates of point C' are (7,4)

So by distance formula CC' will be

So length of CC' is

We are given the slope m=-1 and the point (0,-2)

The point-slope form of the line is:

y - k = m(x - h)

Substituting:

y - (-2) = -1(x - 0)

Operating:

y +2 = -1(x - 0)

This was the point-slope form of the line

Rewriting in slope-intercept forn:

y +2 = -x

Subtracting 2:

y = -x - 2

That is the slope-intercept form of the line

We can see in the graph that the y-intercept is equal to +5. According to that, the correct options could be second and third options.

The line has a positive slope and the third option has a positive slope (1/2), therefore, this is the correct answer. (Since the second option has a negative slope (-1/2)).

The answer is y= 1/2x + 5

Area of a circle = pie x r x r

where pie = 3.14, r = radius

r = 40m/2 = 20 meters