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N76 [4]
3 years ago
8

At the dog park, there are several dogs with their owners. Counting heads, there are 20; counting legs, there are 62. How many d

ogs and owners are there?
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
There are 9 owners and 11 dogs
9×2=18
11×4=44
44+18=62
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Translate the sentence into an inequality.<br><br> Four subtracted from c is less than - 20 .
11Alexandr11 [23.1K]

Answer:

\displaystyle -4 + c < -20

Step-by-step explanation:

You could either do what I did in the above answer, or you could do this:

\displaystyle c - 4< -20

It does not matter how you write it, as long as you understand the concept!

I am joyous to assist you anytime.

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Which line is the line of reflection?<br><br>A. a<br>B. b<br>C. c<br>D. d
Leto [7]
The line of reflection is b

You can see it much easier if take away all the clutter. Redraw the diagram and take way a d and especially c.

You should be left with only line b and the two triangles. You can see it much easier if you do that. Then just look at the parallel lines of the triangles. They are right across from each other. 
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3 years ago
Read 2 more answers
¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . CF=8 m and CD=17 m. What is DE ?
34kurt
I just took this quiz. Its 15

3 0
3 years ago
Help with this please
aliina [53]
AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
3 0
3 years ago
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