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murzikaleks [220]
2 years ago
9

Hello! Please fill in all the blanks:

Mathematics
1 answer:
Vika [28.1K]2 years ago
5 0

Answer:

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

Step-by-step explanation:

Using coordinate geometry, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Then we know

AM=MB

NC=ND

Then we have

AM+MB=AB

AM+AM=6

Similarly, we have

NC = ND = 3 cm

AM = MB = 3 cm

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3 years ago
Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael
Alisiya [41]

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

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D = C - 9

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Plug-in the numbers.

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C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

5 0
4 years ago
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Sever21 [200]
#1).  The length of the whole circumference is (π · D) = 12π .

         120° is 1/3 of 360°, so arc-AB is 1/3 of the whole circumference.

#2).  60° is 1/6 of 360°.
         So arc-CD is 1/6 of the whole circumference (which is given).

#3).  The circumference of the circle is (π·D) = 20π .

         70° is (70°/360°) of the whole circle, so arc-XY
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#4).  Sorry, I don't remember anything right now about
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7 0
3 years ago
Plzz help solve the given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no
zloy xaker [14]

Answers:

<h3>x = 3</h3><h3>One solution</h3><h3>Identity</h3>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Use distributive property to remove parentheses</h3>

2x + 4x - 4 = 2 + 4x

<h3>Step 2: Add like terms</h3>

6x - 4 = 2 + 4x

<h3>Step 3: Subtract 4x</h3>

We need all variables on one side to solve, so subtract 4x from both sides.

2x - 4 = 2

<h3>Step 4: Add 4</h3>

2x = 6

<h3>Step 5: Divide by 2</h3>

x = 3

<h3>Step 6: Check</h3>

2(3) + 4(3) - 4 = 2 + 4(3)

6 + 12 - 4 = 2 + 12

14 = 14 ✔

<h3>Step 7: How many solutions?</h3>

The given equation has only one solution.

<h3>Step 8: Identity, a contradiction or neither?</h3>

The given equation is an identity.

<h3>Step 9: Answers</h3>

x = 3

One solution

Identity

I'm always happy to help :)

3 0
3 years ago
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