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galina1969 [7]
3 years ago
13

A classmate is having difficulty fidning the measures of angle BGE and angle BDG in the diagram below. what mathematial advice w

ould you give them? Be sure to address the information they would need and desxcribe how they would find these measures.

Mathematics
1 answer:
8090 [49]3 years ago
8 0
   Part 1) Find the<span> measures of angle BGE

we know that
</span><span>The inscribed angle measures half of the arc it comprises.
</span>so
angle BGE=(1/2)*[arc EB]


Part 2) Find the angle <span>BDG
we know that
</span><span>The measure of the external angle is the semi-difference of the arcs that it covers.
</span><span>so
</span>angle BDG=(1/2)*[arc GEB-arc GB]<span>


</span>
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Two pumps are filling a pool. One of them is high power and can fill the pool alone in 2 hours less time than the other can do s
KatRina [158]

Answer:

9.1 hours

Step-by-step explanation:

Make a Chart.  

Column 1 is Time it takes to do the job alone

Column 2 is Rate of Work  ( 1 over the expression in Column 1)

Column 3 is Time it takes to do the job together

Column 4 is Part of the Job done  ( Columns 2 and 3 multiplied together )

 

Row 1 is the First pipes info.

Row 2 is the Second pipes info.

 

The equation comes from column 4.    Part of the Job from Pipe 1  +  Part of the Job from Pipe 2  =  1  (the whole job)

 

So Row 1 for Pipe 1, the small pipe, would look like this:    x    ,    1/x     ,    4     ,    4/x

Row 2 for Pipe 2, the larger pipe, would look like this:     x - 2  ,   1/x-2   ,   4     ,    4/(x-2)

 

So, the equation would be:     4/x   +   4/(x-2)    =   1

 

Solve this equation by first multiplying both side by  x(x-2) to clear the denominators.

 

So the equation becomes:  4(x-2) + 4x  = x(x-2)

Distribute and combine like terms, then get everything on one side of the equation.

 

So the equation becomes:   x^2  - 10x + 8  = 0

 

Use the quadratic equation to solve for x.  Solutions are  x = 9.1 and x = .9

.9 hours does not make sense so throw that solution out (with the dirty pipe water :) )

 

9.1 hours makes sense for how long it would take the smaller pipe working alone to fill the pool.

3 0
3 years ago
Read 2 more answers
Another one omg this is annoying
Alexeev081 [22]

Answer:

Correct option: first one

Step-by-step explanation:

The equation f(x) = 5x + 1 is a function, because each value of x gives only one  value of y.

Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):

x = 5f'(x) + 1

5f'(x) = x - 1

f'(x) = \frac{x - 1}{5}

The inverse f'(x) is also a function, because each value of x gives only one value of x.

So we have that both the equation and its inverse are function, therefore the correct answer is the first option.

7 0
3 years ago
Consider that a data set of 10 data points has a mean of 5. If every data point was doubled in the set, how might that affect th
Vesnalui [34]

Answer:

A) The mean would double to 10.

4 0
4 years ago
Sensational Cell Phones offers a plan of $30 for the first 300 minutes, and an additional $0.30 for every minute over 300. Let t
Annette [7]

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x2−1 f - 1 ( x ) = x 2 - 1 is the inverse of f(x)=2x+2 f ( x ) = 2 x + 2 .

5 0
3 years ago
Tyreek and his 4 friends equally split 3cups of juice. How much juice does each person get?​
lyudmila [28]

Answer:

\frac{3}{5} or 0.6 of a cup of juice

Step-by-step explanation:

Divide 3 by 5:

3/5

= 0.6

So, each person would get \frac{3}{5} or 0.6 of a cup of juice.

5 0
3 years ago
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