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sleet_krkn [62]
3 years ago
15

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which ar

e the midpoints of segments
AB

and

CD

, respectively. Fill in the blanks of the Statement/Reason solution.


Statement Reason

1. AM = BM = AB 2 =_____ cm 1. ____________________

2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint

3. MN = MB + ______ + CN 3. ____________________

4. MN = ________ cm 4. Algebra
Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

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What is the explicit equation for this series 25,21,17,13
Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

a_n=a_1+d(n-1)

The given sequence is 25,21,17,13

a_1=25

d=21-25

d=-4

We plug in the values into the formula to get;

a_n=25+-4(n-1)

a_n=25-4n+4

a_n=29-4n

6 0
3 years ago
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
What is the value of y circle the correct answer 62y = 434<br><br> 1.<br> Y=7<br><br> 2.<br> Y=5
MrRa [10]
When we solve for y, we want to isolate y by itself. To do so in this equation, we can divide both sides of the equation by 62...

y = 434/62 = 7
8 0
3 years ago
Read 2 more answers
What is the mode for the following set of numbers 1,1,2,2,2,3,3,4
aleksklad [387]
Mode = 2
hope it helps
----------------------------
5 0
3 years ago
Read 2 more answers
Please help with solving the blank answers
KATRIN_1 [288]
Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides. 
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10. 
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3. 
3/5p = 7 1/3
Now, Divide. 
7 1/3 Needs To Be Converted To An Improper Fraction. 
It Becomes 22/3.
22    5    110
--- * --- = ----
 3     3      9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9. 

6 0
3 years ago
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