Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?

An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.

Question options:

2 units


6 units


12 units


4 units

Answer:

2 4 2 y-3

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Yan po answer

[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]

1)  The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]

when  [tex]m=10[/tex], [tex]15[/tex] more college hats were sold

2)  The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

[tex](2x+5)\text{ inches}[/tex]. The working is shown below.

1)    According to the question, [tex]m[/tex] is the number of months hats were sold.

[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months

[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months

Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]

the expression representing how many more college hats were sold than professional hats is

[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]

when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and

[tex]m+5=(10)+5=15hats[/tex]

[tex]15[/tex] more college hats were sold in [tex]10[/tex] months

2)  To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below

remove brackets

[tex]-12x+6-2x[/tex]

arrange like terms

[tex]-12x-2x+6[/tex]

simplify like terms

[tex]-14x+6[/tex]

The answer is (D)

3)  Let the length of one side of the square be [tex]s[/tex]

The perimeter will be  

[tex]4s=8x+20[/tex]

making [tex]s[/tex] the subject of the formula

[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]

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Answer:

c = 28.26 cm

Step-by-step explanation:

equation for circumference of a circle is 2πr

r = d/2 so here r = 9/2 = 4.5

2 x 3.14 x 4.5 = 28.26

Answer:

C ≈ 28.26 cm

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ( d is the diameter ) , then

C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )

Answer:

1

Step-by-step explanation:

Answer is 1

cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

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10

Step-by-step explanation:

I think it's 10 my bad if I'm wrong

Answer:

the range is 66 to 70 since it can be 2 degrees in either direction

The range of possible temperatures is 66 to 70°F.

It is required to find the range of possible temperatures.

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given:

The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.

According to given question we have,

∴The range is 66 to 70 °F since it can be 2 degrees in either direction.

Therefore, the range of possible temperatures is 66 to 70°F.

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Answer:

x+2y = 5

2x+y=4

->

x+3y = 5

6x-y = 11

->

2x+y=10

x-3y=-2

Step-by-step explanation:

solutions of x and y for each system of equation can be solved by graphing

graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers

if there are no intercepts, the equations have no solution

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

Answer:

15

Step-by-step explanation:

3 times 5 is 15

Answer:

it either has a postive slope (when lines go uphill from left to right)

a negative slope (when lines go downhill from left to right)

a zero slope (when lines are horizontal)

or a undefined slope (when lines are vertical)

Step-by-step explanation:

hope this helps

Answer:

a negative slope of -2

Explanation:

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

points (1,1) (0,3)

x1 = 0 y1 = 3

x2 = 1 y2 = 1

(1-3)/(1-0) = -2/1 = -2

Answer:

I beleave its 27

Step-by-step explanation:

Answer:

Shape 2 and 3

Step-by-step explanation:

shape 1 is not enclosed so it cannot have area

The range for the measure of the third side of the triangle is (5, 38).

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Two sides of the triangle are 18 ft and 23 ft.

Let the third side of the triangle is x cm.

Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.

Implies that,

23 - 18 < x < 23 + 18

5 < x < 38

The range of the third side varies from (5, 38).

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Step-by-step explanation:

18.75 x 11.54

= 216.375

216.375 is the correct answer

Answer:

1728

Step-by-step explanation:

27

64

-----------

108

1620

1728

Answer:

1728

Step-by-step explanation:

27•64= 0108+162 =1728

The seat in the middle of the one-way route is 34

The seats are given as:

[tex]First= 0[/tex] --- the first seat behind the seat number 95

[tex]Last= 66[/tex] --- my seat

The seat number half-way would be:

[tex]Half = \frac{Last - First}{2} + 1[/tex]

This gives

[tex]Half = \frac{66- 0}{2} + 1[/tex]

Subtract 0 from 66

[tex]Half = \frac{66}{2} + 1[/tex]

Divide 66 by 2

[tex]Half = 33 + 1[/tex]

Add 33 and 1

[tex]Half = 34[/tex]

Hence, the seat in the middle of the one-way route is 34

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Answer:

I believe the answer is A

Step-by-step explanation:

three times x can be equal to, but never greater than -6

Answer:

A. 3x ≤ -6

Step-by-step explanation:

the sentence ‘3x is at most -6

means that the most 3x is allowed to be is -6

it can be -6 or any number less than -6

So, the phrase 3x is at most -6

’ means ‘

3x ≤ -6

Answer:

15x/2*4

Step-by-step explanation:

Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

Answer:

200 R 600

or

200 600/907

Step-by-step explanation:

0 0 0 2 0 0

9 0 7 1 8 2 0 0 0

   − 0          

     1 8        

   −   0        

     1 8 2      

   −     0      

     1 8 2 0    

   − 1 8 1 4    

           6 0  

         −   0  

           6 0 0

         −     0

           6 0 0

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

Answer: x=3

Step-by-step explanation:

Answer:

The answer is C! :) hope that helps haha

Answer:

1 -5

don't know the answer of q2 and q3