Choose the correct answer

The midpoint of a line segment partitions the line segment into a ratio of 1:1, meaning it divides the segment into two equal parts.

In mathematics, a midpoint refers to a point that is exactly in the middle of a line segment. The definition of midpoint implies that it divides or partitions a line segment into two equal parts. Therefore, the ratio is 1:1.

Consider the given line segment AB with the midpoint M. If the length of the segment AB is L, then AM = MB = L/2. This shows that the line segment AB is divided into two equal parts by M, thus resulting in a 1:1 ratio.

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The correct answer is 1:1.

The midpoint of a line segment is the point that divides the segment into two equal parts. By definition, these two parts are of the same length, which means that the ratio of their lengths is 1:1. This is because the midpoint is equidistant from both endpoints of the line segment, effectively splitting the segment into two congruent segments.

To illustrate this with an example, let's consider a line segment AB with a midpoint M. The length of segment AM is equal to the length of segment MB. If we denote the length of AM as x and the length of MB as y, we have:

x = y

Expressing this as a ratio, we get:

x/y = 1/1

This ratio represents the division of the line segment by its midpoint, and it shows that the division is equal on both sides of the midpoint, hence the ratio of 1:1.

Answer:

a) 100 degrees

Step-by-step explanation:

EFG + EGD + DGC = 180  since the form a straight line

EGD = 30 since it is a vertical angle to AGB = 30

DGC = 50

Substitute these values in

EFG +30 + 50 = 180

Combine like terms

EFG +80 = 180

Subtract 80 from each side

EFG +80-80 = 180-80

EFG =100

Answer: Area of the triangle = 14unit²

Step-by-step explanation: The Height of the triangle = 7 unit

The Base of the triangle = 4 unit

∴Area of the triangle = 1/2 bh

= 1/2 × 4 × 7 = 14 units²

One Foot: 12 inches

One Yard: 3 Feet

3 x 12 = 36 inchest

One Yard: 36 inches

36 x 2 = 72

Therefore there are 72 inches in 2 yards.

Answer:

The selling price is $9.60.

Answer:

the selling price of the pool noodle is $9.60.

Step-by-step explanation:

The selling price of the pool noodle can be calculated by adding the markup to the cost price.

Step 1: Calculate the markup amount. The markup is 20% of the cost price of $8, which is calculated as: 20/100 * $8 = $1.60.

Step 2: Add the markup amount to the cost price to find the selling price. The selling price is $8 + $1.60 = $9.60.

Answer:

0.76)5(0.24)1

Step-by-step explanation:

The probability of a podiatrist examining six people until he finds the first patient who has bunions is  [tex](0.76)^5[/tex] (0.24).

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

24% of people who get their feet examined are found to have bunions.

let p= 24%= 0.24

and, q= 1-p = 1-0.24 = 0.76

When he examines 6 people before he sees a patient with an bunions, the event is represented as:

P = ([tex]q^5[/tex]) p

= [tex](0.76)^5[/tex] (0.24)

= 0.2535525376 (0.24)

= 0.060852609024

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Answer:

109.74 miles.

Step-by-step explanation:

Answer:

109.74 miles.

Step-by-step explanation:

Answer:

i got u he was eaten by a bear.

Step-by-step explanation:

Answer:

to kiss the penguins

Step-by-step explanation:

Answer:

I think it is d.

Step-by-step explanation:

Answer:

I'm pretty sure the answers D

Step-by-step explanation:

Answer:

8.3 meters

Step-by-step explanation:

58.1 / 7 =8.3

Answer:

8.3 meters

Step-by-step explanation:

A rectangle's area is solved by multiplying length x height.

The area is 58.1 square meters, while the height is 7 meters. Divide:

58.1/7 = 8.3

8.3 meters is the length of the rectangle.

~

Answer: a^12b^15c^18

Step-by-step explanation:

(good luck in middle school!!)

Answer:

c. 5.6m

Step-by-step explanation:

pi x 8 x 80/360 = 5.58..

round to 1 d.p. = 5.6

Answer:

median

Step-by-step explanation:

Answer:

81x in 2 (B)

Step-by-step explanation:

A = πr^2

Radius = 9

The Radius is 9 because you divide 18 by 2, the equation for Circumference is 2πr.

Answer: 81

Plug 9 into r in the Area equation.

π9^2

81π

Answer:

with (-11, 1) as the vertex

Step-by-step explanation:

The vertex form of a parabola is given by

y = a (x-h) ^2 +k

where (h,k) is the vertex

h(x) = -(x + 11)^2 +1

is written in vertex form

h(x) = -(x  -  -11)^2 +1

  with (-11, 1) as the vertex

Answer:

Width=20 feet

Since Length=Width=20 feet, the rectangle is a Square.

Step-by-step explanation:

Area, [tex]A=40w - w^2[/tex]

To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.

[tex]A'=40 - 2w\\$When A'=0\\40-2w=0\\40=2w\\w=20 feet[/tex]

The width of the rectangle that gives the maximum area =20 feet.

Perimeter of a rectangle=2(l+w)

Perimeter of the rectangle=80 feet

2(l+w)=80

2l+2(20)=80

2l=80-40

2l=40

l=20 feet

Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.

The area of the rectangle is the product of its dimensions

The area of the rectangle is given as:

[tex]\mathbf{A = 40w - w^2}[/tex]

Differentiate

[tex]\mathbf{A' = 40 - 2w}[/tex]

Set to 0

[tex]\mathbf{40 - 2w = 0}[/tex]

Add 2w to both sides

[tex]\mathbf{ 2w = 40}[/tex]

Divide both sides by 2

[tex]\mathbf{ w = 20}[/tex]

This means that, the width that gives the maximum area is 20 feet

The perimeter of a rectangle is:

[tex]\mathbf{P = 2(l + w)}[/tex]

So, we have:

[tex]\mathbf{80 = 2(l + 20)}[/tex]

Divide both sides by 2

[tex]\mathbf{40 =l + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{l = 20}[/tex]

This means that, the length and the width are equal (i.e. 20 ft)

Hence, the special rectangle is a square

Read more about areas at:

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Step-by-step explanation:

first you do 2x8x9=144

now you have to do 1x3x8=24

then you add them so it would be 168 and that is your answer

Answer:

1/7

Step-by-step explanation:

We can find the slope by

m =(y2-y1)/(x2-x1)

   =(1-0)/(0- -7)

   (1-0)/(0+7)

    1/7

Answer:

151.2 ounces

Step-by-step explanation:

You multiply 42 and 3.6

Answer:

151.2 ounces, which is 9.45 pounds.

Step-by-step explanation:

multiply 42 times 3.6

Answer:

c

Step-by-step explanation:

cause i said so!

Answer:

The correct answer is A) (-∞ , 1.5)

Step-by-step explanation:

Hope this helps! :)

Answer:7

Step-by-step explanation:

half of 14

Answer:

7

Step-by-step explanation:

3.5 x 2

Answer:

A)

Step-by-step explanation:

1 and 2 are remote interior angles.

Remote interior angles does not share vertex of the triangle with the exterior angle.

Here 4 is the exterior angle.  

Answer:

A) 1 and 2

Step-by-step explanation:

got it right

Answer:

4573.8

Step-by-step explanation:

Answer:

10, he should round the quotient up by 1 because of the remainder

Step-by-step explanation:

Brandon did all of the math work correctly, but you can't over crowd the bus with 13 people. The 10th bus will not be filled to capacity but it would be enough for the 4 remaining fourth graders.

Answer:

1.32

Step-by-step explanation:

.6*2.2

Answer:

Meow

Squeak

bark

Caw

baa

Step-by-step explanation:

Answer:

it depends, can you put more detail please

Step-by-step explanation:

Answer:

The accounts may differ in minimum balance required, interest rate, ATM fees, overdraw protection, the monthly service fee, and the annual fee.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

0.5 + 6.38= 6.88

In general you'd round your answer to the greatest level of precision used in the question, not the least.

The statement is false. The explanation is given.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A phrase: 0.5 + 6.38= 6.9 because 0.5 is precise to the tenth digit, so the answer must also be rounded to the nearest tenth.

0.5 + 6.38 = 6.88

To round the decimals:

Round the prior digit down if the final digit is less than 5. However, you should round the preceding figure up if it is 5 or above.

6.88 = 6.9.

Therefore, the statement is false.

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Answer:

Based on the model,the length of the wall is 9/8 ft, the width of the walk is 1/2 ft, and the height of the wall is 11/8. The volume of the portion of security wall that Tim has constructed so far is 99/128 cu ft.

Step-by-step explanation:

In the picture attached, part of a security world castle is shown.

length: 9 blocks, which is equivalent to 9*(1/8) = 9/8 ft

height: 11 blocks, which is equivalent to 11*(1/8) = 11/8 ft

width: 1/2 ft

Volume: length*height*width = (9/8)*(11/8)*(1/2) = (9 * 11 * 1)/(8 * 8 * 2) = 99/128 cu ft

Based on the model, the length of the wall is 9/8 ft, the width of the walk is 1/2 ft, and the height of the wall is 11/8. The volume of the portion of security wall that Tim has constructed so far is 99/128 cu ft.

Tim is building a model of a castle with small wooden cubes. Each wooden cube has a side length of 1/8 ft. Given the following information, we will solve the problem step by step:

Length of the Wall

Assuming we know the total number of cubes used to form the length of the wall, we can multiply the number of cubes by the side length of each cube (1/8 ft) to obtain the length in feet.

Width of the Wall

We are given that the width of the wall is 1/2 ft.

Height of the Wall

If we assume that the wall height in the model is given in terms of the number of cubes stacked, we can multiply that number by 1/8 ft per cube to determine the total height in feet.

Volume of the Security Wall

To find the volume, we will assume there is a certain number of cubes used for the entire structure. The volume of a cube with side length 1/8 ft is:

The total volume of the wall is then the volume of one cube multiplied by the total number of cubes used.

Therefore, to complete the details:

Ensure you have the number of cubes to accurately determine the final measures.