If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP

Answer:

There is no x in the question

Answer:

Step-by-step explanation:

The width of the rectangle is (x - 9)

(x + 4)(x - 9)

x^2 - 9x + 4x - 36

x^2 - 5x - 36

Answer:

W = ( x - 9 )

Step-by-step explanation:

The area of a rectangle is equal to the length times the width of the rectangle.

So we can say A = LW

A = (x^2 - 5x - 36)

L = (x + 4)

A = LW

W = A / L

W = (x^2 - 5x - 36) / (x + 4)

W = (x + 4) (x - 9) / (x + 4)

W = (x - 9)

Cheers.

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

Answer:

0

Step-by-step explanation:

Any number divided by zero is undefined.

Zero divided by any number other than zero equals zero.

0/6 = 0

Answer: 0

Answer:

0

Step-by-step explanation:

Anything divided or multiplied by 0 equals 0.

Answer:

The answer is 653.45

Step-by-step explanation:

Answer: 15

Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.

The common factors here are 3 and 15 the highest common factor is 15.

Now another method is to draw the division diagrams which are shown in the image below...

Answer:

Step-by-step explanation:

HCF of two or more numbers is the largest number that divides the number without leaving remainder.

Prime factorize 15 and 60

15 = 3 * 5

60 = 2 * 2 * 3 * 5

HCF = 3 * 5 = 15

Answer:

[tex]n=\frac{-360}{A-180}[/tex]

Step-by-step explanation:

Step 1: Write out equation

[tex]A=\frac{180(n-2)}{n}[/tex]

Step 2: Multiply both sides by n

[tex]An=180(n-2)[/tex]

Step 3: Distribute

[tex]An=180n-360[/tex]

Step 4: Subtract 180n on both sides

[tex]An-180n=-360[/tex]

Step 5: Factor out n

[tex]n(A-180)=-360[/tex]

Step 6: Divide both sides by (A - 180)

[tex]n=\frac{-360}{A-180}[/tex]

Answer:

48 people.

Step-by-step explanation:

The sequence is  3 5 7 ...

The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:

3 + 5 + 7 + 9 + 11 + 13 = 48 people.

=

Answer:

mZRST = 155°, mZRSU  = 102°

Step-by-step explanation:

Given that mZRST = (12x - 1)º, mZRSU = (9x - 15),  and mZUST = 53°.

We know that mZRSU + mZUST = mZRST (since S is a common point)

So, (9x - 15)º + 53° = (12x - 1)º

Expanding the brackets we have

9x - 15 + 53 = 12x - 1

collecting like terms, we have

53 - 15 + 1 = 12x - 9x

54 - 15 = 3x

39 = 3x

Dividing through by 3, we have

x = 39/3

x = 13°

So, mZRST = (12x - 1)º

= 12(13) - 1

= 156 - 1

= 155°

So, mZRST = 155°

mZRSU = (9x - 15),  

= 9(13) - 15

= 117 - 15

= 102°

So, mZRSU = 102°

Answer:Step-by-step explanation:x+2(-4) yx

Answer:

A car parked on a hill, A raised weight, A snow pack.

Step-by-step explanation:

To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.

Three examples of objects that have potential energy are,  a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.

What is Potential Energy ?

The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.

The basic formula to determine the Potential Energy possessed by the body is given by :

P.E = mgh

examples of objects that are having potential energy are :

1) a child at the top of the seesaw in play-ground.

2) water in dam.

3) rock kept at some finite height of hill.

Learn more about "Energy" here:

https://brainly.in/question/49548283

#SPJ2

Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.

Step-by-step explanation :

The given equation is:

[tex]-2|5x-1|-3=-11[/tex]

The term -3 is moved or added to the right hand side.

[tex]-2|5x-1|=-11+3[/tex]

[tex]-2|5x-1|=-8[/tex]

The term -2 is divided to the right hand side.

[tex]|5x-1|=\frac{-8}{-2}[/tex]

[tex]|5x-1|=4[/tex]

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case : [tex]-(5x-1)=4[/tex]

Positive case : [tex](5x-1)=4[/tex]

Now solve both the cases.

Negative case : [tex]-(5x-1)=4[/tex]

[tex]-5x+1=4[/tex]

[tex]-5x=4-1[/tex]

[tex]-5x=3[/tex]

[tex]x=\frac{-3}{5}[/tex]

and,

Positive case : [tex](5x-1)=4[/tex]

[tex]5x=4+1[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.

Answer:

5 months

Step-by-step explanation:

You had a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight

We can use LCM for this

So lets make a list for both of them

Phil:120, 130, 140, 150, 160, 170, 180, 190, 200

Bill: 150, 154, 158, 162, 166, 170, 174

As you can see here, after 5 months, they will have the same weight.

We can check our work to.

lets do 120+(10*5)=170

and 150+(4*5)=170

I hope this makes sense

Answer:

A, B and D

Step-by-step explanation:

There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.

Domain range of the decreasing one is:

Domain range of the increasing one is:

Correct choices are: A, B and D

Note: A and B are same

Answer:

428.05

Step-by-step explanation:

Answer:

428.05 US$

Step-by-step explanation:

You add each piece of money to each other

You start with 7.79 and 0.89

then 412.37 and 7

then you get 8.68 and 419.37

you add those to get 428.05

Answer:

y = -8

Step-by-step explanation:

-18+2 = 5y-3y

-16 = 2y

y = -8

If you need more explaining notify me

Answer: Robert is correct, irrational numbers are part of real numbers.

Explanation:

In mathematics, numbers are classified into different groups or seats. In the case of real numbers, these are a broad category that includes all numbers that can be represented on a line. Moreover, this category includes smaller categories such as rational numbers, for example, 15, 2.4 or 6/2 that can be represented as fractions, as well as, irrational numbers such as [tex]\pi[/tex] that cannot be fractions. In this context, Jenny is incorrect and Robert is correct because irrational numbers are also real numbers.

Step-by-step explanation:

In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).

If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.

Hope this helped!

Answer:

A.) 9 points

B.) 3 lines

C.) 2 planes

D.) P, N, G / M, N, O / R, N, S

E.) U, T, O, S  / There are multiple ways but that will take a while sorry. :)

F.) M, N, O

G.) N

H.) S

I.) I don't know sorry

J.) Line D

Hope this Helps! :)

In geometry, lines, planes and points are very important for description purpose. The answers to the given questions can be stated as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Geometry is an aspect that deals with lines, planes and points. A line is a straight path that connects two points, while a plane is a flat surface which could either be a horizontal or vertical.

To solve the given questions, it is important to understand the given figure and interpret each question with respect to the terminologies in it. Example: Collinear points are points which are connected by a straight line, while non-collinear points are points that can not be linked by a straight line.

Therefore, the answers to the questions are as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Reference: https://brainly.com/question/17721067

Answer:

Step-by-step explanation:

1%=0.01  ⇒  40% = 40•0.01 = 0.4

x - total of team points

40%x = 42

0.4x = 42

 ÷4      ÷4

0.1x  = 10.5

 •10      •10

  x  =  105

Answer:

105 points

Step-by-step explanation:

Answer: x+3,y+5

Step-by-step explanation:

Answer:

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

The best approximation of the number of students in the school who prefer basketball is 197.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The results from a random sample of 150 students' after-school activities at a school are shown.

68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.

The percentage of students who prefer soccer will be

[tex]\rightarrow \dfrac{68}{150} = \dfrac{34}{75}[/tex]

The percentage of students who prefer basketball will be

[tex]\rightarrow \dfrac{59}{150}[/tex]

The percentage of students who prefer swimming will be

[tex]\rightarrow \dfrac{23}{150}[/tex]

If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be

[tex]\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer( 9 trips )

Step-by-step explanation:

44-17=27

27/3=9

basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.

hope this helped :)

Answer:

9 trips

Step-by-step explanation:

44 minus 17 equals 27

Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips

Answer:

The value of k that would make Deanna's claim to be true is k = 4

Step-by-step explanation:

The given transformation that Deanna has a claim for = Rotation

Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon

We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon

Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square

Here;

The exterior angle of the polygon = The interior angle of the polygon 90

The value of k which is the number of sides of the polygon, for a square = 4

Therefore, the value of k that would make Deanna's claim to be true is k = 4.

Answer:

1/2 cup of lemonade per lemon

Step-by-step explanation:

2 cups of lemonade use 4 lemons

(2 cups of lemonade)/(4 lemons) =

= 2/4 cup of lemonade per lemon

= 1/2 cup of lemonade per lemon

Answer:

when m= -2 and n=3/4.

-2^2.(3/4-1).

-4(-1/4)

=1.

Answer:

The complement is 50 and the supplement is 140

Step-by-step explanation:

Complementary angles add up to 90. Supplementary angles add up to 180. We simply need to subtract to find the difference to fill the gap.

90-40=50

180-40=140

The complement is 50 and the supplement is 140

Answer:

complement angle to 40 degrees is 50 and the supplement angle to 40 degrees is 140

Step-by-step explanation:

complement angle to 40 degrees is 90 - 40 = 50 degrees

Supplement angle to 40 degrees is 180 - 40 = 140 degrees.