we know that
If two lines are perpendicular, then the product o their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
-------> 
This line is parallel to the y-axis
so
the perpendicular will be parallel to the x-axis
Step 2
The equation of the line perpendicular to the given line is the y-coordinate of the given point
Point 
the equation is
therefore
<u>the answer is</u>
see the attached figure to better understand the problem
Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,
180 = m<1 + m<2 + m<3
180 - m<3 = m<1 + m<2
But, we also know that m<4 + m<3 = 180 degrees.
180 = m<3 + m<4
180 - m<3 = m<4
Both m<4 and m<1 + m<2 equals 180 - m<3
m<4 = m<1 + m<2
1. 8+5=13
2. 13 x 3 x 10 = 13 x 30 = 390
Using the information above transform the ratio 8:5.
8 x 30 : 5 x 30
If you do this, you'll end up with the ratio:
240 : 150
This means that 240 adults attended whilst 150 children attended.
Answer: a) The probability is approximately = 0.5793
b) The probability is approximately=0.8810
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
a) The formula for z -score :
Sample size = 1
For x= 63 in. ,
The p-value = 
Thus, the probability is approximately = 0.5793
b) Sample size = 35
For x= 63 ,
The p-value = 
Thus , the probability is approximately=0.8810.
