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pochemuha
3 years ago
13

20points

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0
First of all, how many spaces does the spinner have? if you add up the 3 red, 4 blue, and 2 green spaces (I don't know what the double numbers mean) you get 9, so we will work off of that, since there are 3 different color spaces we'll say the chance of spinning a color is 3/9. so the chance of spinning a blue or green is 6/9. make it to lowest terms and you get 2/3
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Can anyone help me with this? im confused
kvasek [131]

Answer:

1,2,3 and 6 are similar triangles by AA similarity

Step-by-step explanation:

1) ∠DEC ≅ ∠FEG     {Vertically opposite angles}

DC //  GF

∠ECD ≅ ∠EGF     {Alternate interior angles}

∠EDC ≅ ∠EFG     {Alternate interior angles}

ΔDEC & ΔFEG are similar triangles by AA similarity

2)MN // QP

∠LQP ≅ ∠QMN   {Corresponding angles }

∠LPQ ≅ ∠PNM   {Corresponding angles}

ΔLQP & ΔLMN are similar triangles by AA similarity

3) In ΔSYE ,

∠S = 180 - 90 - 39

∠S = 51°

In ΔCHW,

∠H = 180 - 51 - 90

∠H = 39

ΔSYE and ΔCHW

∠S ≅ ∠W = 51°

∠Y ≅ ∠C = 90°

∠E ≅∠H = 39°

ΔSYE & ΔWCH are similar triangles by AA similarity

6) ∠P ≅ ∠Z      {Given}

∠PXQ ≅∠ZXY  {Vertically opposite angles}

ΔPXQ & ΔZXY are similar triangles by AA similarity

5 0
2 years ago
How many ounces of 10% alcohol would need to be mixed with pure rubbing alcohol to get 16
givi [52]

Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that

<em>x</em> + <em>y</em> = 16

For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then

0.1<em> x</em> + 1 <em>y</em> = 2.24

Solve for <em>y</em> in both equations:

<em>y</em> = 16 - <em>x</em>

<em>y</em> = 2.24 - 0.1 <em>x</em>

Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.

16 - <em>x</em> = 2.24 - 0.1 <em>x</em>

13.76 = 0.9 <em>x</em>

<em>x</em> = 13.76/0.9 ≈ 15.29

<em>y</em> = 16 - 15.29 ≈ 0.71

So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.

6 0
3 years ago
Add. 41.600 + 79.436 <br> 79.852 120.442 120.960 121.036
Nonamiya [84]
It would be 121.036 when u add it up
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3 years ago
Which distance measures 7 units?
Viefleur [7K]

Answer: the distance between points M and P

Step-by-step explanation:

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