Answer:
angles 1 4 and 5 are all equal to 113 and angles 2 3 6 and 7 equal 67
 
        
             
        
        
        
Answer:
y=2x^2+1
Step-by-step explanation:
I checked on photo maths
 
        
                    
             
        
        
        
If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.
        
             
        
        
        
Answer:
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

 
 
And the 90% confidence interval would be given (0.131;0.169).
Step-by-step explanation:
We have the following info given:
 represent the sampel size slected
 represent the sampel size slected
 number of students who read above the eighth grade level
 number of students who read above the eighth grade level
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

The confidence interval for the proportion  would be given by this formula
 
For the 90% confidence interval the significance is  and
 and  , with that value we can find the quantile required for the interval in the normal standard distribution and we got.
, with that value we can find the quantile required for the interval in the normal standard distribution and we got.
 
And replacing into the confidence interval formula we got:
 
 
And the 90% confidence interval would be given (0.131;0.169).
 
        
             
        
        
        
<h2>Answer: 
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>
<h3 /><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the parallel line</u>
When two lines are parallel, they have the same slope.
                  ⇒  if the slope of this line = - 8
                       then the slope of the parallel line (m) = - 8
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  
                                ⇒  y - 11  =  - 8 (x - (-1))                                
                                 ∴  y - 11  = - 8 (x + 1)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
                       since   y - 11  = - 8 (x + 1)
                                         y  = - 8 x  + 3
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).