Answer:
k=9
Step-by-step explanation:
Answer:
BC < CE < BE < ED < BD
Step-by-step explanation:
In the triangle BCE,
m∠BEC + m∠BCE + m∠CBE = 180°
m∠BEC + 81° + 54° = 180°
m∠BEC = 180 - 135
m∠BEC = 45°
Order of the angles from least to greatest,
m∠BEC < m∠CBE > mBCE
Sides opposite to these sides will be in the same ratio,
BC < CE < BE ----------(1)
Now in ΔBED,
m∠BEC + m∠BED = 180°
m∠BED = 180 - 45
= 135°
Now, m∠BDE + m∠BED + DBE = 180°
11° + 135°+ m∠DBE = 180°
m∠DBE = 180 - 146
= 34°
Order of the angles from least to greatest will be,
∠BDE < ∠DBE < ∠BED
Sides opposite to these angles will be in the same order.
BE < ED < BD ----------(2)
From relation (1) and (2),
BC < CE < BE < ED < BD
36/48 simplified is 3/4
divide both by 12
36÷12
3
48÷12
4
The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
