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Write an equation for the line, in point-slope form, that passes through the following points. (2,-1) (5,-7)

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Step-by-step explanation:

the answer would be 4 glasses of water

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

The total investment if £3000 is in a bank after 4 years investment of 3% is £3376.5

Solution:

Therefore, the total investment after 4 years at a rate of 3% is given by

Total investment = P × (1 + r/n)^nt

Total investment = £3000 × (1 + 0.03)^4

                   = £3000 × (1.03)^4                  

                   = £3376.52

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Step-by-step explanation:

-2x - 4 + 5y = 8

-2x + 5y = 8 + 4

-2x + 5y = 12

Hope this helps.. Good luck :)

Answer:

Step-by-step explanation:

You have ONE equation here in TWO unkowns.  You can solve for either x or y but not both.  Only if you have a system of TWO equations can you find the values of x and y that satisfy both equations.

-2x - 4 + 5y = 8 is to be solved for y:

Add 4 to both sides to combine the constant terms:

-2x + 5y = 12

To solve for y, add 2x to both sides, obtaining:

5y = 2x + 12

and then divide all three terms by 5:

y = (2/5)x + 12/5

-2x - 4 + 5y = 8 can also be solved for x if desired.

Answer:

C.0.1

Step-by-step explanation:

Because this is 10% confidence confirmed

Answer:

18541.89/9 = $2060.21 is the answer

Step-by-step explanation:

Total college tuition = $18541.89

Number of equal payments = 9

Equal payments = 18541.89/9

                           = $2060.21

(Please do correct me if I'm wrong as I'm not completely sure)

On a map, a rectangular pond has dimensions of 4 inches long and 10 in wide. If the scale was 2 in=50ft, what would the perimeter of the actual pond be? (the pond in feet). ​

REmmeber that

the scale is 2 in=50ft

that means

2 in on a map represent 50 ft in the actual

so

Applying proportion

For 4 inches long

50/2=x/4

x=100 ft -------> actual length

For 10 iches wide

50/2=x/10

x=250 ft -----> actual wide

Find out the perimeter

P=2(L+W)

P=2(100+250)

P=700 ft

Answer:

Mary drew 66 buildings and Tess drew 33 buildings.

Step-by-step explanation:

Let's label the number of buildings drawn by Mary as x and the number of buildings drawn by Tess as y.

We know there are 99 buildings drawn. This means

99=x+y

We also know that Mary drew twice as many buildings as Tess. We can represent this as

x=2y

Now, let's substitute x for 2y, since that would put us in common terms

99=2y+y

Add common variables together and you get

99=3y

Solve for y by dividing 99 by 3

y=33

We now know that Tess drew 33 buildings, as well as y=33. Substitute y in the equation for how many buildings Mary drew:

x=2(33)

Now we know that Mary drew 66 buildings.

To check our work,

99=x+y

99=66+33

99=99

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

\( \sin A= \frac {1} {\sqrt {82}}\)

Step-by-step explanation:

\(\sin A= \frac {BC} {BA} \\\\

\sin A= \frac {1} {\sqrt {82}} \\\\\)

The exact value of sin A in simplest radical form is  1 /√82.

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.

Now from the given triangle we have,

Hypotenuse, AB = √82

Perpendicular, BC = 1

Base, AC = 9

Since, sine function is the  ratio of the length of the opposite side to that of the hypotenuse.

Thus, Sin A = Perpendicular / Hypotenuse

⇒ Sin A = 1 /√82

which is the required the exact value of sin A in simplest radical form.

Thus, the exact value of sin A in simplest radical form is  1 /√82

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The critical value for the two-tailed test is ± 2.7632

Here it is given that the value of

α = 0.01

n = 29

Hence the critical probability will be (1 - α)/2

= (1-0.01)/2

= 0.99/2

=  0.495

Now since the sample is small, we will have to use t-statistic here.

The degree of freedom = n - 1

= 29 - 1

= 28

Hence looking up the t-value for α = 0.01 for a two-tailed test we get

critical value as ± 2.7632

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Complete Question

Determine the critical values for a two-tailed test of a population mean at the α = 0.01 level of significance based on a sample size of n = 29

.

Answer:

5(9x+23)

Step-by-step explanation:

45x+115

5(9x+23)

Answer:

The slope is 3 or 3/1.

Step-by-step explanation:

The amount of money will always be counted as a y value. So, you can do 345 - 255, which is 90, over 120 - 90, which is 30. You will have 90/30, that will simplify to 3 or 3/1. Therefore, your slope is 3.

Answer:

The slope is 3

Step-by-step explanation:

Hope this helps

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

2)

3)

4)

Step-by-step explanation:

Answer:

I dont speak english so i dont know whats is your question

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer:

B.

H0 : PA - PB = 0

Ha : PA - PB > = 0

Step-by-step explanation:

The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.

In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.

Answer:

2 more people each day.

Step-by-step explanation:

We are given the following relation:

\(d = \frac{192}{n}\)

In which d is the number of days that will take to run a marketing campaign with n people.

Alex’s company will take 32 days to run the campaign.

So the number of people in his campaign is given by:

\(32 = \frac{192}{n}\)

\(32n = 192\)

\(n = \frac{192}{32}\)

\(n = 6\)

Shay’s company will take 24 days to run the campaign.

So the number of people in her campaign is given by:

\(24 = \frac{192}{n}\)

\(24n = 192\)

\(n = \frac{192}{24}\)

\(n = 8\)

Shays company will have to use more people each day than alex’s company. how many more?

8 - 6 = 2

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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Answer:

.25 or 25%

Step-by-step explanation:

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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