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Dvinal [7]
3 years ago
6

Find the measure of the numbered angle.

Mathematics
1 answer:
Mila [183]3 years ago
4 0
The angle adjacent to angle 6 is the one we need to find first.  To do this, add the measures of the intercepted arcs and divide by 2.  60 + 50 = 110, and half of that is 55.  That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent).  The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well.  360 - 55 - 55 = 250.  Split that up between angle 6 and its vertical angle to get that each of those measure 125.  Angle 6 measures 125, choice b from above.
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3 years ago
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Work out the estimate for the number of times both spinners land on the blue.
iris [78.8K]

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56

Step-by-step explanation:

probabilty of both being red= 0.5*0.6

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Given the function f(x)=x^2+7x+6f(x)=x
Sonbull [250]

The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2

<h3>What is the average rate of change the function?</h3>

The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.

It is expressed as;

Given the data in the question;

  • f( x ) = x² + 7x + 6
  • Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]

Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )

Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )

Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )

Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )

Average rate of change = ( 0 + 6 ) / ( 3 )

Average rate of change = 6 / 3

Average rate of change = 2

Therefore, the average rate of change of the function is 2.

Learn more about average rate of change here: brainly.com/question/28744270

#SPJ1

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