PLEASE HELP I BEG I NEED JUST THIS ONE PROBLEM:
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC and leg BC at points P and N respectively. Find: BC:BN.

Please give Statement/Reasoning proof as well. THANK YOU PLEASEE

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

To know more about line

brainly.com/question/13763238

#SPJ1

Answer:

\(Each\ Weight = \frac{1}{4}\)lb

Step-by-step explanation:

Given

\(Weights = \frac{3}{4}lb\)

\(Bananas = 3\)

Required

Determine the weight of each

To do this, we simply divide the total weight by the number of bananas.

\(Each\ Weight = \frac{3}{4}/3\)

Convert to multiplication

\(Each\ Weight = \frac{3}{4} * \frac{1}{3}\)

\(Each\ Weight = \frac{1}{4}\)

Hence, each banana weighs 1/4 of a pound

Ans C

Ste-by-ste-exp

its 1/4

The statement "the chances of your being in an automobile accident this year are 2 out of 100" is an example of descriptive statistics.

Descriptive statistics involves summarizing and describing data, such as presenting facts or characteristics of a particular population or sample. In this case, the statement provides information about the probability or likelihood of being in an automobile accident, specifically stating that the chances are 2 out of 100.

It describes a statistic related to the probability of an event happening, rather than making inferences or drawing conclusions based on data. Therefore, it falls under the category of descriptive statistics.

To learn more about descriptive statistics click here :

brainly.com/question/30764358

#SPJ11

Answer:

69

Step-by-step explanation:

trust me

Answer:

1. 67.2

2.13.34

3. 175.5

Step-by-step explanation:

Answer:

#1        (176 - x)°

#2       m∠3 = m∠4 = 90°

Step-by-step explanation:

If a pair of parallel lines are cut by a transversal, there are several angles that are either equal to each other or are supplementary(angles add up to 180°).

For the specific questions...
For #1.

Angles ∠1 and ∠2 are supplementary angles since they are adjacent to each other and lie on the same straight line

Therefore
m∠1 + m∠2= 180°

Given m∠1 = (x + 4)° this becomes

(x + 4)° + m∠2 = 180°

m∠2 = 180° - (x + 4)°

= 180° - x° - 4°

= (176 - x)°

For #2

∠3 and ∠4 are supplementary angles so m∠3 + m∠4 = 180°

If m∠3 = m∠4 each of these angles must be half of 180°

So
m∠3 = m∠4 = 180/2 = 90°

not in the mood for math but i can promise its not less than 12, so either C or D.

Answer:

Look below to find out!

Step-by-step explanation:

So, when you have this problem, notice how you have two 45(degree) angles and a right angle, thus, it is a isosceles right angle(according to the base angles theorem converse)!

Thus, in a right isosceles triangle, the hypotenuse(x) is \(\sqrt{2}\) times bigger than the legs(12 in this case). This can be proved with the Pythagorean Theorem!

Thus, it is \(12\sqrt{2}\)

Now, this sounds boring(in the way I explained it) and you are wondering where this came from. I can show you where this came from!

Imagine you have a right triangle with legs a. Now, we use Pythagorean Theorem solve for the hypotenuse!

\(Hypotenuse^{2} =a^{2}+a^{2} \\Hypotenuse=\sqrt{2*a^{2} } \\Hypotenuse= \sqrt{2} a\)

So, there you go! Hope this helps!

Stay Safe, I think I'll go to sleep...

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Answer:

−6x+18

Step-by-step explanation:

-6(x-3)

(−6)(x+−3)

=(−6)(x)+(−6)(−3)

=−6x+18

Answer:

18 - 6x

Step-by-step explanation:

According to the distributive property:

-6(x-3) =

-6*x + -6*-3 =

-6x + 18

In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

Learn more about polygons at: https://brainly.com/question/1592456

#SPJ1

To convert 120 \(ft^{2}\) of carpeting to square yard, divide 120 by 9 to get 13.33 \(yd^{2}\).

The conversion from square feet to square yards is necessary because carpet is typically sold by the square yard, not by the square foot. In order to calculate the amount of carpet needed to cover a room, it is important to first convert the room's square footage into square yards.

Divide by 9 to convert square feet to square yards. This is because 1 square yard is equal to 9 square feet.

So, in the given problem, the room measures 120 square feet. To find the number of square yards needed, we divide 120 by 9:

120 \(ft^{2}\) ÷ 9 = 13.33 \(yd^{2}\)

The result, 13.33, represents the number of square yard of carpet needed to cover the room.

Note that the conversion factor (9) is used because 1 square yard is equal to 9 square feet. When we divide the square footage by 9, we are effectively dividing the area measurement into 9 equal parts, so that 1 part represents 1 square yard.

Learn more about area here:

https://brainly.com/question/27683633

#SPJ4

Answer:

Between 7 and 8

Step-by-step explanation:

Using a calculator, we can see that the square root of 60 is approximately 7.74596669241, which is between 7 and 8 on the number line

Answer:

let n be the number

6 less than the number

= (n-6)^5 = 32

(n-6)^5 = 2^5

since powers are equal we equate the bases

n-6 =2

n=8

Step-by-step explanation:

as always, such a problem has 2 solutions, because the teachers never give any information about the relative positions of the sun, the pole and the tree. is the sun shining first on the pole and then the tree, or is the sun shining first on the tree and then the pole ?

the difference is that in one case the shadow of the tree is 60 - 20 = 40 m, and in the other case it is 60 + 20 = 80 m long.

anyway, for a certain angle of the sunlight we know the shadow of the pole is 60 m long, which creates with the 4.8 m height a right-angled triangle, with the line of sight from the top of the pole to the ground end of the shadow being the Hypotenuse or radius for or trigonometric triangle in a circle.

the shadow length (60 m) is sine of the sunshine angle multiplied by the radius.

the height (4.8 m) is cosine of that sunshine angle multiplied also by that radius.

Pythagoras gets us the radius for the pole triangle :

radius² = 60² + 4.8² = 3600 + 23.04 = 3623.04

radius = sqrt(3623.04) = 60.19169378... m

sin(angle) × radius = 60

sin(angle) = 60/radius = 0.996815279...

angle = 85.42607874...°

the sunshine creates with the tree also a right-angled triangle with the same sunshine angle (the sun is so far away, that the tiny, tiny difference is irrelevant, we can simply assume the angles are equal).

but the shadow is of different length (sin(angle)×radius), which means also the radius for the tree triangle has to be different. and that defines the height of the tree (cos(angle)×radius).

but now we know the angle, and we can reverse calculate the side lengths.

but the question is (as mentioned at the beginning) : is the tree shadow 40 m or 80 m long.

we have therefore 2 solutions for the height of the tree.

1. the shadow is 40 m long.

sin(angle) × radius = 40

radius = 40/sin(angle) = 40.12779585... m

tree height = cos(angle)×radius = 3.2 m

2. the shadow is 80 m long.

sin(angle) × radius = 80

radius = 80/sin(angle) = 80.25559171... m

tree height = cos(angle)×radius = 6.4 m

Answer:

first number: 9

second number: 6

Step-by-step explanation:

15 = x + (x - 3)

2x = 15 - 3

2x = 12

x = 6

━━━━━━━☆☆━━━━━━━

▹ Answer

(-1, -5)

▹ Step-by-Step Explanation

y = 3x - 2

x - y =4

x - (3x - 2) = 4

x = -1

y = 3(-1) - 2

y = -5

(x, y) = (-1, -5)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:

log₂(x - 1) = x³ - 4x

Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.

For the point (2, 0):

log₂(2 - 1) = 2³ - 4(2)

log₂(1) = 8 - 8

0 = 0

The equation holds true for the point (2, 0), so (2, 0) is one solution.

For the point (1.1187, -3.075):

log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)

log₂(0.1187) = 1.4013 - 4.4748

-3.075 = -3.0735 (approx.)

The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.

Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

Learn more about Logarithm here:

https://brainly.com/question/30226560

#SPJ1

The value of x from the given supplementary angles is 42°.

Find the value of x using the measures of the two given adjacent supplementary angles.

The two angles are 3x and 54

3x+ 54=180

Supplementary angles measure is equal to 180°.

hence we frame it as:

3x+ 54=180

now arrange the like terms:

⇒ 3x = 180-54

⇒ 3x=126

⇒ x=126/3

⇒ x=42

hence x value is 42°

now 3x=3(42)

= 126

the two angles are 126° and 54°

Hence we get the required answer.

Learn more about Supplementary angles here:

brainly.com/question/2046046

#SPJ4

Answer:

5.D1.3 select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display

Step-by-step explanation:

\( \Large \pink{\tt \dfrac{35}{36}}\)

\( \tt \dfrac{3}{4} + \dfrac{2}{9}\)

By taking LCM = 4 × 9 = 36

\( \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}\)

\( \tt = \dfrac{27}{36} + \dfrac{8}{36}\)

\( \tt = \dfrac{27 + 8}{36}\)

\( \tt = \dfrac{35}{36}\)

\( \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}\)

Answer:

2 ⅜

Step-by-step explanation:

Absolute value is, basically put, the distance a number is from 0

So we can ignore the negatives, and look for the largest number!

-2 ⅛, -2.25, 2 ⅜, -2.29, and 2 4/11

\/

2 ⅛, 2.25, 2 ⅜, 2.29, and 2 4/11

Now, I am going to turn them all into decimals to make them easy to compare:

2 ⅛, 2.25, 2 ⅜, 2.29, and 2 4/11

\/

2.125, 2.25, 2.375, 2.29, and 2.36363636 etc

This means that 2.375 is the largest number, which was originally 2 ⅜, so there is our answer!

I hope this is right and helps, have a nice day! :D

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

Answer:

Rectangle B has a length of 4 inches.

Step-by-step explanation:

Rectangle A has a width of 3 inches and a length of 5 inches.

Let us find its perimeter:

Perimeter = 2(L + W)

where L = length

W = width

Its perimeter is therefore:

P = 2(5 + 3)

P = 2 * 8 = 16 inches

Rectangle B has the same perimeter as Rectangle A. Let us find the length of B.

Its width is 4 inches, therefore, perimeter is:

P = 2(L + W)

16 = 2(L + 4)

16 = 2L + 8

16 - 8 = 2L

8 = 2L

=> L = 8 / 2 = 4 inches

Rectangle B has a length of 4 inches.

The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.

The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.

Given data;

Height of mom in the photo = 3 inches

Real size of photo=66 inches

Area of the photo = 15 square inches

Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:

Area = width × length

\(\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2\)

Hence,the area of the poster will be 0.68 m².

To learn more about the area refer to the link;

https://brainly.com/question/11952845

#SPJ1