Given:NP=MP,NP PL prove NPL≈MPL

Given:

The equation is:

\(y-5=\dfrac{4}{3}(x-5)\)

To find:

The graph of the given equation.

Solution:

Point slope form of a line is:

\(y-y_1=m(x-x_1)\)               ...(i)

We have,

\(y-5=\dfrac{4}{3}(x-5)\)           ...(ii)

On comparing (i) and (ii), we get

\(x_1=5,y_1=5,m=\dfrac{4}{3}\)

It means, slope of the line is \(\dfrac{4}{3}\) and it passes through the point (5,5).

Putting x=2 in the given equation, we get

\(y-5=\dfrac{4}{3}(2-5)\)

\(y=\dfrac{4}{3}(-3)+5\)

\(y=-4+5\)

\(y=1\)

The line passes through the point (2,1).  Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.

The triangle is not a right-angled triangle.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

Three cities form a triangle.

Tom measures the distances between the three cities on a map.

The distances between the three cities are 45 miles, 56 miles, and 72 miles.

Let the triangle is a right-angled triangle.

So, by Pythagoras' theorem,

√{(45)² + (56)²},

= √5161

= 71.8 < 72.

Therefore, our assumption is wrong.

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The equation of the image is x = 32 - 2y which is dilated by a scale factor of 1/4 about the center.

Dilation is a process for creating similar figures by modifying the dimensions.

To dilate a line by a scale factor of 1/4 about the center, we can first find the coordinates of the center of dilation.

Since no center is given in the problem, we can assume that the center is the origin (0,0).

To find the equation of the image, we need to apply the dilation to the original line. The dilation multiplies all distances by the scale factor, so the image of the point (x, y) is (1/4)x, (1/4)y).

So, the image of line 8 - 2y = x under this dilation is:

8 - 2(1/4)y = (1/4)x

8 - (1/2)y = (1/4)x

32 - 2y = x

Therefore, the equation of the image is x = 32 - 2y.

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Answer:

Step-by-step explanation:

15

The number of miles for which the cost of Uber and Lyft is the same is 30.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles  the cost of Uber and Lyft is the same.

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Answer:

24 ft

Step-by-step explanation:

so, we don't know anything else about the triangle ?

ok, let's see.

the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2

At = 24 = side × height / 2

48 = side × height = 10 × height

height = 48/10 = 4.8 = 24/5

let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).

we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :

a² = height² + q² = (4.8)² + q² = 23.04 + q²

as all sides have to be even integers, a² has to be an even square number larger than 23.04.

and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.

the only candidates for a² are therefore 36 and 64 (6² and 8²).

in a similar way this applies to the left hand triangle side b tool.

b² = height² + p² = 23.04 + p²

with the same restrictions and possible solutions as a².

we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).

let's rule out a=b :

a=b wound also mean p=q=5

then

a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.

so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).

proof :

36 = 23.04 + 12.96 = 23.04 + q²

=> q = 3.6 ft

64 = 23.04 + 40.96 = 23.04 + p²

=> p = 6.4 ft

p+q = 3.6 + 6.4 = 10 ft

perfect, it fits, this is the correct solution

so, the perimeter of the triangle is

10 + 6 + 8 = 24 ft

Answer:

Assuming that the expression is meant to be written as:

(a^5 ⋅ 2^3)^3

We can simplify it using the rules of exponents. First, we can simplify the expression inside the parentheses:

a^5 ⋅ 2^3 = a^5 ⋅ 8 = 8a^5

Now we can substitute this simplified expression into the original expression:

(8a^5)^3

To simplify this, we use the power rule of exponents, which states that when we raise a power to another power, we multiply the exponents:

(8a^5)^3 = 8^3 ⋅ (a^5)^3 = 512a^15

Therefore, the simplified expression is 512a^15.

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

hmm.. very blurry repost please

Step-by-step explanation:

Step-by-step explanation:

the first one is:

2 so not th second one

Answer:

Step-by-step explanation: We can solve this in two ways:  Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.

Solve The Equations:

y = 2x+9

y = -x-3

Set them equal to each other (to find x such that both equations will return the same value for y).

-x-3 = 2x + 9

-3x = 12

x = -4

Use x=-4 in either equation to find y:

y = -x-3

y = -(-4)-3

y = 1

===

The point is (-4,1).  That is the point that satisfies both equations:

1)  y = 2x+9

    y = 2(-4)+9

   y = 1, and

2)  y = -x-3

    y = -(-4)-3

    y = 1

=====

We can also solve by graphing and finding the point at which the two lines intersect.  A graph is attached.

The equation which can be used to find x is, \(\bold{\frac{1}{x} =\frac{1}{14} +\frac{1}{10} }\)

The time taken by Franklin to make a 200 sq. foot cement patio = 14 hours

The time taken by Scott to make a 200 sq. foot cement patio = 10 hours.

Let x be the number of hours it would take Franklin and Scott to make the patio together.

Then x = 14 x 10 / (14 + 10)

⇒ 1 / x = (14+10)/(14 x 10)

⇒ 1/x = 1/14 +1/10

This is the equation to find the number of hours taken by Franklin and Scott together.

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Answer:

C

Edge2020

Step-by-step explanation:

Answer:

See attachment below

Step-by-step explanation:

Answer: the length of BE is 27

Answer:

1/22

Step-by-step explanation:

Its 1/22 because that is the total probability of your name being drawn for the prize

Answer:

1. p = 2, q = 10

2. a = 4, b = 3

Step-by-step explanation:

1. $ pillows and 5 quilts cost £58.

4p + 5q = £58

6 pillows and 5 quilts cost £62.

6p + 5q = £62

So that,

4p + 5q = 58 .............. 1

6p + 5q = 62 ............. 2

Subtract equation 1 from 2

6p - 4p + 5q - 5q = 62 - 58

2p = 4

p = \(\frac{4}{2}\)

p = 2

substitute the value of p in equation 1

4(2) + 5q = 58

8 + 5q = 58

5q = 50

q = \(\frac{50}{5}\)

q = 10

Thus,

p = 2, q = 10

2. 7 apple pies and 2 banoffee cost £34

7a + 2b = £34

7 apple pies and 5 banoffee cost £43

7a + 5b = £43

So that,

7a + 2b = 34  ............. 1

7a + 5b = 43 ........... 2

Subtract equation 2 from 1

7a - 7a + 5b - 2b = 43 - 34

3b = 9

b = \(\frac{9}{3}\)

b = 3

substitute the value of b in equation 1

7a + 2(3) = 34

7a + 6 = 34

7a = 28

a = \(\frac{28}{7}\)

a = 4

Thus,

a = 4, b = 3

Answer:

7 pie

Step-by-step explanation:

the sum of the interior angles of a nonagon is 1260 degrees.

Now The sum of interior angles of a convex N-sided polygon equals to π(N−2) radians.

In case N=9 (nanogon)

this sum is

π(9−2)=7π (radians)

The sum of the measures of the interior angles of a convex nonagon is given by the equation A = 1260°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of a convex nonagon be A

Now , the equation will be

Let the number of sides of the polygon be n = 9 sides

The sum of the interior angles of a polygon is calculated by the equation ,

nθ = 180 ( n - 2 )

Substituting the values in the equation , we get

nθ = 180 ( 9 - 2 )

nθ = 180 x 7

nθ = 1260°

Therefore , the value of A is 1260°

Hence , the sum of angles is 1260°

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Answer:

1208.9

Step-by-step explanation:

To figure out the answer we have to separate it two parts

So the surface area of the piñata is

=The surface area of first cone + the area of the second second cone

=π×r×(r+s)+π×r×(r+s)

=3.14×7×(7+24)+3.14×7×(7+17)

=3.14×7×31+3.14×7×24

=681.38+527.52

=1208.9

Note:I am not sure so if you have any doubts. You can go with others

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

Answer:

r = 2

Step-by-step explanation:

r/18 = 1/9

r = 1 * 18 /9

r = 18/9

r = 2

Answer:

B

Step-by-step explanation:

the first number x in (X,Y) is the domain and the second number y is the range. Domain is the set of all x values and range is the set of all y values

The value of sinh²ˣ is 1/23.

To find the value of sinh(2x) without using a calculator, we can use the relationship between hyperbolic trigonometric functions.

We know that coth(x) is equal to the hyperbolic cotangent function, which can be expressed as the ratio of hyperbolic cosine and hyperbolic sine:

coth(x) = cosh(x) / sinh(x)

From the given information, coth'(x) = 5. To find the value of sinh(2x), we need to differentiate the expression for coth(x) and substitute the value of coth'(x).

Differentiating both sides of the equation coth(x) = cosh(x) / sinh(x) with

respect to x gives:

-coth²ˣ + 1 = cosh²ˣ / sinh²ˣ

Since coth'(x) = 5, we have:

-5² + 1 = cosh²ˣ/ sinh²ˣ

Simplifying this equation gives:

24 = cosh²ˣ / sinh²ˣ

Now, we can use the relationship between sinh²ˣand cosh²ˣ:

sinh²ˣ = cosh²ˣ- 1

Substituting this into the previous equation, we get:

24 = (sinh²ˣ + 1) / sinh²ˣ

Multiplying both sides by sinh²ˣgives:

24 sinh²ˣ = sinh²ˣ + 1

Simplifying further gives:

23 sinh²ˣ = 1

Finally, solving for sinh²ˣ, we have:

sinh²ˣ = 1 / 23

Therefore, the value of sinh²ˣ is 1/23.

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Reason: The angle bisector cuts the original angle (70°) in half to get 70/2 = 35.

Value of the z-test statistic is 1.20.

To find the value of the z-test statistic, we need to calculate the sample proportion and the standard error of the proportion.

The sample proportion is:

p⁻ = 92/400 = 0.23

The standard error of the proportion is:

SE = √[(pq)/n] = √[(0.20.8)/400] = 0.025

where p = 0.2 and q = 0.8.

Now we can calculate the z-test statistic:

z = (p⁻ - p)/SE = (0.23 - 0.2)/0.025 = 1.2

Therefore, the value of the z-test statistic is 1.20.

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Answer:

sos i need the points thx

Step-by-step explanation:

Answer:

so in a summary she is going to spend 5 dollars on paper and markers.

so she will have 5 dollars to budget on a pack of stickers.

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant.

i.e

2 x 10² x 0.5 x 10² = 1 x \(10^4\).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

An adult African elephant weighs = 1 x \(10^4\) pound.

A baby African elephant weighs = 2 x 10² pounds.

Now,

Dividing the weight of an adult elephant with the weight of the baby elephant.

= 1 x \(10^4\) ÷  2 x 10²

= 1/2 x 10²

= 0.5 x 10²

Now,

We can say that,

An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant

Thus,

An adult African elephant weighs about 0.5 x 10² times as much as a baby African elephant.

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Let us assume a value, a for the other part of the base. thus, the length of the base of the triangle is d + a

Considering the right angle traingle containing y degrees,

opposite side = h

adjacent side = a

Tan# = opposite side/adjacent side

tan y = h/a

a = h/tany

Considering the right angle traingle containing x degrees,

opposite side = h

adjacent side = a + d

Tan# = opposite side/adjacent side

tan x = h/(a + d)

a + d = h/tanx

a = h/tanx - d

If we equate both a's, it becomes

h/tany = h/tanx - d

d = h/tanx - h/tany

Since as a manager of a monopoly that faces a demand curve described by p = 230 - 20q. the profit-maximizing price is option C. 130.

A monopoly is known to be a term that describe a market that does not with the "absence of have competition", and it is one that forms a situation where a given person or firm is the only supplier of a given product of thing

Note that In monopoly, Profit is maximized if MR = MC and where MR  =  marginal revenue.

So Revenue R =  Q * P

=  230Q - 20Q ^2

MR  =  DR/DQ  =  230 -  40Q

In regards to all -profit maximization

MR =  MC

230 - 40Q =  30

40Q =  200

Q =  5

Hence: Profit-maximizing Price P:

=  230 - 20 * 5

 =  130.

Therefore, Since as a manager of a monopoly that faces a demand curve described by p = 230 - 20q. the profit-maximizing price is option C. 130.

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The vertical intercept for the table showing the relationship for Jada's grandparents starting a savings account for her is starting savings amount in the account of $ 600.

The vertical intercept in a graph is the point where a line intersects the vertical axis of the coordinate plane. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero.

The vertical intercept would therefore be first amount in the savings account by Jada's grandparents which is the $ 600.  This is the amount when x = 0 or rather when x was the starting year of 2006.

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The region enclosed by the curves y = x, y = 3x, and y = -x + 4 needs to be sketched, and its area should be found.

To sketch the region enclosed by the curves, we need to plot the three given curves on a coordinate plane. The first curve is y = x, which represents a straight line passing through the origin (0,0) with a slope of 1. The second curve is y = 3x, which is also a straight line passing through the origin but with a steeper slope of 3. The third curve is y = -x + 4, which represents a line with a y-intercept of 4 and a negative slope of -1. By plotting these three lines on the same coordinate plane, we can see that they intersect at three points: (0,0), (1,3), and (3,1). The region enclosed by these curves is a triangular region with vertices at these three points. To find the area of this triangular region, we can use the formula for the area of a triangle: A = (1/2) * base * height. Let's draw the graph:

     |

   4 |         .  (2, 2)

     |      .

     |   .

     | .

   0 |_____________________

     0     1     2     3     4     5     6

In this graph, the first equation (y = x) is depicted by a diagonal line passing through the origin (0,0). The second equation (y = 3x) is a steeper line, while the third equation (y = -x + 4) is a downward-sloping line with a y-intercept of 4. In this case, the base of the triangle is the distance between the points (0,0) and (3,1), which is 3 units. The height of the triangle is the distance between the point (1,3) and the line y = -x + 4, which is also 3 units. Substituting these values into the area formula, we get A = (1/2) * 3 * 3 = 4.5 square units.

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Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68