Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
Answer:
-3
Step-by-step explanation:
6x - 4 = -22 6x = -18 x = -3
x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Given,
Volume of small box = 10 cubic feet
Volume of large box = 24 cubic feet
Total boxes shipped = 23
Combined volume = 426 cubic feet
Let,
x represent the number of small boxes.
y represent the number of large boxes.
x+y=23
10x+24y=426
x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.
Keywords: linear equation, addition
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Answer:
it lies in Quadrant 1
Step-by-step explanation:
The points are positive so in the first one
= 
The coefficients are 8 , 12, 6, 1
= 
The coefficients are 16, 96, 216, 216, 81
=
The coefficients are 27, 54,36 , 8
= x^4+4x^3y+6x^2y^2+4xy^3+y^4
The coefficients are 1, 4, 6, 4, 1
