what is the slope-intercept equation from the line bellow

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

Second option

Step-by-step explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.

Answer:

its b

Step-by-step explanation:

I just took the test

Answer:

perimeter = 12

Step-by-step explanation:

In a right-angled triangle, a² + b² = c²

where c is the hypotenuse, and a and b are opposite and adjacent, either way.

have a look at attached documents for answer and explanation

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer:

x = 88.463°

Step-by-step explanation:

We are given a trigonometric equation and we need to find out the value of x. The angle x lies between 0° and 360° . That is ,

\(\rm\implies\red{ 0^0 < x < 360^0 }\)

Given trigonometric equation :-

\(\rm\implies\red{ 1 + 5 sin (x-100^0)=0 }\)

Subtracting 1 both sides , we have ,

\(\rm\implies 5sin( x - 100^0)= -1 \)

Divide both sides by 5 ,

\(\rm\implies sin( x - 100^0)= \dfrac{-1}{5} \)

This equation can be written as ,

\(\rm\implies x - 100^0 =sin^{-1}\bigg(\dfrac{ -1}{5}\bigg) \\\\\rm\implies x - 100^0 = -11.53^0 \\\\\rm\implies x = 100^0-11.53^0\\\\\rm\implies\boxed{\bf x = 88.463^0} \)

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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Answer:

70 dollars

Step-by-step explanation: -

Answer:

L=$15

R=$18

Step-by-step explanation:

i cant really explain the work

The number the spinner is most likely to land on is 2

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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(a) let number of miles Carol walked be e.

Patty walked 7 miles more than Carol.

Patty walked e + 7 miles.

Let total number of miles walked be T

that is how many miles Carol walked plus how many miles Patty walked

T = e + (e + 7)

(b) :Let number of miles patty walked be p.

p = e + 7

e = 9

P = 9 +7

P = 16

(c) T = e + (e + 7)

T = 11 + (11+7)

T = 11+18

T=29

The length of the line segment AB = 16 units

Given data ,

Let the length of the line segment AB = 2x - 4

Let the length of the line segment BC = 3x + 2

Now , AC = 48 units

So , AC = AB + BC

On simplifying the equation , we get

2x - 4 + 3x + 2 = 48

5x - 2 = 48

Adding 2 on both sides , we get

5x = 50

Divide by 5 on both sides , we get

x = 10 units

So , the length of AB = 2 ( 10 ) - 4

AB = 16 units

Hence , the length is AB = 16 units

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If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.

The future value for this investment is computed in two separate solutions.

We have used an online finance calculator to facilitate the process.

The future value denotes the present deposits compounded at an interest rate.

Initial Deposits:

N (# of periods) = 32 quarters (8 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $0

PMT (Periodic Deposit) = $1,000

Results:

FV = $43,489.87

Sum of all periodic payments = $32,000.00

Total Interest = $11,489.87

Subsequent Deposits:

N (# of periods) = 76 quarters (19 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $43,489.87

PMT (Periodic Payment) = $200

Results:

Future Value (FV) = $215,293.42

Sum of all periodic payments = $15,200 ($200 x 76 quarters)

Total Interest = $156,603.55

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Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Answer:

t = 1.2, -1.2

9514 1404 393

Answer:

  (a)  4/3

  (b)  y -3 = 4/3(x -1)

  (c)  y -3 = -3/4(x -1)

  (d)  r = 5

Step-by-step explanation:

a) The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -3)/(4 -1) = 4/3

__

b) The radius is normal to the circle. The point-slope form of the equation for a line can be useful here:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For slope 4/3, the line through point (1, 3) will have the equation ...

  y -3 = 4/3(x -1) . . . . point-slope equation of the normal

__

c) The tangent is perpendicular to the radius. It will have a slope that is the opposite reciprocal of the slope of the radius: -1/(4/3) = -3/4.

  y -3 = -3/4(x -1) . . . . point-slope equation of the tangent

__

d) The radius can be found from the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -1)² +(7 -3)²) = √(3² +4²) = √25 = 5

The radius of the circle is 5.

Answer:

The answer is Ray

Step-by-step explanation:

Answer:

In FLVS the answer is Ray I believe

Step-by-step explanation:

Hope this helps you :)

Answer:

D. The Number of hook he bought.

Because it dosent tell us how much his total was so it cant be A.

And just like A, it dosent SHOW US HOW MUCH HE OWES!

C Is incorrect because the " X " isnt beside 62.55

D is correct because when you have 0.05x the " X " represent the number of something.

The number of fishing poles he bought

Answer:

4z+3

Step-by-step explanation:

multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it

Answer:

there's four of them so it's a movie 25 / 100 would be the probability of landing on them

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.

The probability is given as,

P = (Favorable event) / (Total event)

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

Section       Frequency

   M                    28

   A                     21

   T                     26

   H                    25

The theoretical probability of landing on T will be given as,

P(T) = 1/4

P(T) = 25/100

The experimental probability of landing on a consonant is given as,

P(Consonant) = 79 / 100

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

45

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that \(P(A) = 0.7\)

40% attended both events.

This means that \(P(A \cap B) = 0.4\)

The probability that he also attended the breakfast forum is

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Answer:

B.

Step-by-step explanation:

B. is the answer

Answer:

Find the sum of 4.06 x 1019 and 5.034 x 1017, it equals to 9256.718

4.11034 x 1019 = 4188.43646

9.094 × 1019 = 9266.786

4.11034 x 1036 = 4258.31224

9.094 × 1036 = 9421.384

Step-by-step explanation:

4137.14 + 5119.578 = 9256.718

Answer:

To determine the number of possible outcomes, we need to calculate the number of ways to choose 3 numbers from the set of 36 (0 to 35), where order matters (i.e., each outcome is an ordered sequence of 3 numbers).

This can be calculated using the permutation formula:

nPr = n! / (n - r)!

where n is the total number of items in the set, and r is the number of items to choose. In this case, we have:

n = 36 (since there are 36 numbers on the dial)

r = 3 (since we need to choose 3 numbers for each outcome)

So the number of outcomes is:

36P3 = 36! / (36 - 3)! = 36 x 35 x 34 = 42,840

Therefore, there are 42,840 possible outcomes for this lock

If the "combination" to open the lock is actually an ordered sequence of 3 numbers, there are 46,656 possible outcomes for this combination lock.

To find the number of outcomes possible for the combination lock, we need to consider the number of choices available for each position in the ordered sequence of 3 numbers.

The first number can be any of the 36 choices (0 through 35) on the dial. The second number can also be any of the 36 choices since repetition is allowed. Similarly, the third number can be any of the 36 choices.

To calculate the total number of outcomes, we multiply the number of choices for each position:

Number of outcomes = 36 (choices for the first number) * 36 (choices for the second number) * 36 (choices for the third number) = 36³ = 46,656

In summary, with each number on the dial having 36 possible choices, the lock's combination can be represented by an ordered sequence of 3 numbers. The total number of outcomes is calculated by multiplying the number of choices for each position, resulting in 46,656 possible combinations to open the lock.

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Answer:

A

Step-by-step explanation:

The inverse of a graph flips the x and y coordinates for the points.  If you look at A one point that you see graphed is (-4, -1), its inverse would be (-1,-4).  You see that point on the other line.  Another point would be (-2,1), so the inverse would be (1,-2)  You see both of these points on the two different lines.  

You do not find the same relationships for graphs B and C.

Answer:

No

Step-by-step explanation:

There are multiple coordinates with the same x coordinate

Answer:

orignal price of frame is 60

Step-by-step explanation:

let regular price be a

25% x a = 15

25/100 x a=15

a=15 x 100/25

a=3 x 20 = 60