Answer:
see below
Step-by-step explanation:
x^2+8x+26
Take the coefficient of the x term
8
Divide by 2
8/2 = 4
square it
4^2 =16
we need to add 16 to 26 = 16+10
x^2 + 8x+16 +10
(x+4)^2 +10
Answer:
m∠ D = 110°.
Justification is below.
Step-by-step explanation:
Consider quadrilateral CDEF as a parallelogram,
Opposite sides of a parallelogram are parallel
∴ DE || CF
If two lines are parallel then the interior angles SUM is 180°
Angle C and Angle D are interior angles.
∴ m ∠C + m∠ D = 180°
Here
m ∠C = 70° {Given}
on substituting the above value we get
∴ 70 + m∠ D = 180°
∴ m∠ D = 180 - 70
∴ m∠ D = 110°
∴ m∠ D = 110° which is the required answer.
The general formula for the equation of the straight line is:
y−b=m(x−a) where
m is the slope
a is the x coordinate of the given point
b is the y coordinate of the given point
The slope is given as 2
x coordinate in the given point is 5
y coordinate of the given point is 9
Substitute with these values in the mentioned equation as follows:
y−9=2(x-5)
Either 175.25 ( 175.2 + 0.1/2) or 175.15 ( 175.2 - 0.1/2) ----------> Range. 175.15 < weight < 175.25