Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the f
1 answer:
You might be interested in
Answer:
Therefore,
∠A = 30°
∠B = 60°
∠C = 150°
∠D = 120°
Step-by-step explanation:
Given:
A puzzle in the form of a quadrilateral is inscribed in a circle.
The vertices A ,B ,C ,D of the quadrilateral divide the circle into four arcs in a ratio of 1 : 2 : 5 : 4.
Let the common multiple be "x" then the angles will be
∠A = 1x
∠B = 2x
∠C = 5x
∠D = 4x
To Find:
The angle measures of the quadrilateral = ?
Solution:
In a Quadrilateral inscribed in a Circle,
Sum of the measure of all the angles in a Quadrilateral is 360°
Substituting the values we get
Therefore the measures are
∠A = 30°
∠B = 2 × 30 = 60°
∠C = 5 × 30 = 150°
∠D = 4 × 30 = 120°
Therefore,
∠A = 30°
∠B = 60°
∠C = 150°
∠D = 120°
Answer:
y = x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = =
, thus
y = x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y = x + 0 ← equation for pattern or quite simply
y = x