Answer:
Step-by-step explanation:
Since, If a quadrilateral is inscribed in a circle then the sum of one pair of opposite angles must be equal to 180°.
And, here quadrilateral OPQR is inscribed in circle N.
Thus, -------(1)
And, -------(2)
According to the question,,
And, -------(3)
We have to find out or
.
Thus, from equation (1), ⇒
Therefore, From equation (3),
⇒
Answer:
Check the explanation
Step-by-step explanation:
sample size n= 10
number of independent variables p= 1
degree of freedom =n-p-1= 8
estimated slope b= 0.71
standard error of slope=sb= 0.0480
for 95 % confidence and 8 degree
of freedom critical t= 2.31
95% confidence interval =
b1 -/+ t*standard error= (0.6,0.82)
In 16 months, two trees will be of same height
The trees will be of 58 inches tall
<em><u>Solution:</u></em>
Let "x" be the number of months
<em><u>The maple tree that is 42 inches tall is growing 1 inch per month</u></em>
Thus, equation for maple tree is given as:
Maple tree : 42 + 1 inch (number of months)
Maple tree : 42 + x ------- eqn 1
<em><u>The oak tree that is 10 inches tall is growing 3 inches per month</u></em>
Thus, equation for oak tree is given as:
Oak tree : 10 + 3 inch (number of months)
Oak tree : 10 + 3x -------- eqn 1
<em><u>For two two trees to be equal in height, equate eqn 1 and eqn 2</u></em>
Thus, in 16 months, two trees will be of same height
<em><u>What will that height be?</u></em>
Substitute x = 16 in any one eqn
Thus the trees will be of 58 inches tall