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Advocard [28]
2 years ago
9

Using the following​ diagram, solve for x. Show work

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Answer:

x = 7.5

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

\frac{8}{10} = \frac{6}{x} ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = \frac{60}{8} = 7.5

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Sqaure root99, pi^2, 9.8 repeated decimal least to greatest
Aleksandr [31]

Answer:

π^2, 9.8 repeating, square root of 99.

Step-by-step explanation:

6 0
3 years ago
Help me please solves this my math teacher will yell at me if I don’t get this done!!!
VARVARA [1.3K]
The answer is 75

First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.

The trick is that all angles inside a triangle equal 180 degrees. Hope this helps!
5 0
3 years ago
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
Someone help please!
Ray Of Light [21]

Answer:

q < 56

Step-by-step explanation:

q +12 -2(q -22) > 0

q +12 -2q +44 > 0

56 -q > 0

q < 56

3 0
3 years ago
Read 2 more answers
The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
I am Lyosha [343]

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

6 0
2 years ago
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