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olga_2 [115]
3 years ago
5

Put points A, B, C, and D on a line consecutively, so that AB = BC = CD = 6 in. Find the distance between points M and N, the mi

dpoints of segments
AB
and
CD
respectively.

Mathematics
2 answers:
Flauer [41]3 years ago
8 0
The answer is:  " 3 inches " .
___________________________________________________
<u>Note</u>:
___________________________________________________

" 6 inches" / (2) = "3 inches" . 
___________________________________________________



                        M      N
                         | 3 "   |  
<------------A------|------B------------C------------D------------>
                 |     6 in    |      6 in   |      6 in    |
                          |


_______________________________________________________
HACTEHA [7]3 years ago
7 0

Answer with explanation:

It is given that , points , A, B , C and D lie on a line such that,

AB=BC=CD=6 inches

Draw a number line, such that, coordinate of

A=0, B=6, C=12, D=18.

It is given that, mid points of AB and CD is M and N , respectively.

Mid point of AB, which is M

                 =\frac{0+6}{2}\\\\=3

Mid Point of CD, which is N

                =\frac{12+18}{2}\\\\=15

So, MN=15-3

           =12 inches

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Charlie's weight is nine kilograms greater than his brother's. Together they weigh 99 kilograms. Let x represent the weight of t
siniylev [52]


If the weight of the little brother is x, then the weight of  Charles is x + 9

The equation that can be used to determine what each one weighs is:

x + (x + 9) = 99.

Let us now solve it.

x + x +9 = 99

2x + 9 = 99

2x = 99 - 9

2x = 90

x = 90/2

x = 45

Little brother's  weight is 45 kg.

Charles'   weight  will be 45 + 9 =  54 kg

Adding these two weights will give 99kg

 

4 0
2 years ago
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a customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. the total bill was $94.75. write and solv
Mrac [35]
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
                                 $11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
8 0
3 years ago
Read 2 more answers
Organize the terms in correct order. +9m³ -12m -5
VMariaS [17]

Answer:

-12m + 9m^3 -5 do you mean ascending order?

6 0
2 years ago
Points are: A= (-2,7)B= (3,5)C= (1,0) To show that the triangle is a right triangle, show that the sum of the squares of the len
Gala2k [10]

The sum of the squares of the lengths is 58

The square of length of the hypotenuse is 58

From the question, we have

AB² = (-2-3)² +(7-5)²= 25+4 =29

BC² = (3-1)²+(5-0)²=4+25=29

AC² = (-2-1)²+(7-0)² = 9+49 = 58

Here we can see that,

AB²+BC² = AC²

The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).

the sum of the squares of the lengths = AB²+BC² =29+29 = 58

the square of length of the hypotenuse= 58

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To learn more about pythagoras theorem visit: brainly.com/question/343682

#SPJ9

5 0
1 year ago
Find the median of the data set below? -12/4, 18/5, -2.5, 1/5, 10
nirvana33 [79]

-12/4= -3

18/5= 3.6

-2.5= -2.5

1/5= .2

10= 10

Ordered) -12/4, -2.5, 1/5, -2.5, 10

The median is 1/5 since it's in the middle of all five numbers.

Hope I could help! :)

5 0
3 years ago
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