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Vlad1618 [11]
3 years ago
12

The measure of an angle is 167°. What is the measure of its supplementary angle?

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

x=13

Step-by-step explanation:

Supplementary angles add to 180 degrees

x+167 = 180

Subtract 167 from each side

x+167-167= 180-167

x = 13

katrin2010 [14]3 years ago
3 0

Answer:

13

Step-by-step explanation:

If two angles are supplementary, this means that they total 180 degrees.

Since the measure of one angle is 167, this means that the measure of the other angle is:

180-167=13

So, the other angle measures 13 degrees.

And we're done!

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madreJ [45]

SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.

Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:

  1. \dfrac{EF}{AB}=\dfrac{900}{5}=180;
  2. \dfrac{EG}{AC}=\dfrac{1800}{10}=180;
  3. \dfrac{GF}{CB}=\dfrac{1260}{7}=180.

This gives you that

\dfrac{EF}{AB}=\dfrac{EG}{AC}=\dfrac{GF}{CB}=180.

By SSS theorem triangles ABC and EFG are similar with scale factor 180.

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3 years ago
3.(8 points)Consider the following experiment:Experiment: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3yellow ba
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Answer:

3 / 91

Step-by-step explanation:

Given :

Red balls = 3

Blue balls = 4

Green balls = 4

Yellow balls = 3

Total number of balls = (3+4+4+3) = 14

Sample space :

RR, BB, GG, YY, RB, BR, BG, GB, YG, GY, YR, RY, BY, YB, GR, RG

Probability of drawing two red balls without replacement :

1st draw :

P(red) = number of red balls / total number of balls

P(red) = 3/14

2nd draw :

P(red) = 2 / 13

Hence,

P(RR) = 3/14 * 2/13 = 6 / 182 = 3 / 91

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