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Gekata [30.6K]
3 years ago
8

In the diagram shown at left, three lines intersect to form a triangle. What is the value of x?

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

Answer:

39°

Step-by-step explanation:

For a straight line, the sum of angle is 180°

At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°

68° is alternate angle to the inner angle in the triangle

Since the sum of angles in a triangle are 180°, then angle x will be

X=180-73-68=39°

Therefore, missing angle is 39°

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The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010.
Luden [163]

Answer:

p=ak^t

p1=491272*k^0

p2=782341*k^10

782341/491272 = k^10

k=1.047629

growth rate is 4.7629%

2012: predicted population is 491272*1.047629^12=858,642 people

1245863=491272*1.047629^t

1.047629^k=2.5363599

ln both sides is k ln 1.0476=ln 2.5363

t=20.000 years.

Rule of 72 would say 72/4.76 or 15.12 years for doubling

14.90 years

2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.

6 0
3 years ago
you have a bag full of 17 marbles. Of those marbles, 3 are black. What is the probability that a marble chosen is not black
sdas [7]
Total number of marbles = 17

3 are black.

Not black = 17 - 3 = 14.

Probability of not black =          Number not black / Total

                                       =     14 / 17
3 0
4 years ago
School taxes for a local district are 2.5% of a households income. the smith household earns 80,000. per year. how much do the s
Charra [1.4K]
If you keep taking 2.5% of 80,000 it can give you 2,000 Have a happy day 
3 0
4 years ago
Urgent 4.58 + y = 2.5 what does y equal
Ne4ueva [31]
Y is -2.08

Hope that helps!!!
5 0
3 years ago
Read 2 more answers
How do I answer this Question? It’s phythagoras theorem!
zhuklara [117]

Answer:

C = 11.18       D= 20

Step-by-step explanation:

Let's start with C

Square root both areas of the squares

\sqrt{25} =5

\sqrt{100}=10

Then use the Pythagoras Theorem: a^{2} +b^{2} =c^{2}

10^{2} +5^{2} =125

\sqrt{125} =11.18033989 = C

Moving on to D

Square root both areas of the squares

\sqrt{841} =29

\sqrt{441} =21

29 is the hypotenuse, we are trying to find the other leg, so:

29^{2} -21^{2} =400

\sqrt{400} =20 = D

8 0
3 years ago
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