m□ebd=4 x-8 and m□ebc=5 x+20
This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.
∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.
i.e
∠ ebd + ∠ebc = 180°
4 x- 8 + 5x + 20= 180°
adding like terms
⇒ 9 x +12 =180°
⇒ 9 x = 180° - 12
⇒ 9 x = 168°
⇒ x =( 168/9)°=(56/3)°
now m□ebc =5 x +20
= 5 × 56/3 + 20
= 280/3 + 20
=340/3
m□ebc=( 340/3)°
So, solution set is x =(56/3)° and m□ebc =(340/3)°
Answer:
w = 5
Step-by-step explanation:
Combining like terms is a very important part to this equation!
<em>5.2w - 1.4 = 3.2w + 8.6</em>
<em>I added 1.4 to the right side first, though you must do it to the left side of the equation as well</em>
<em>5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)</em>
<em>5.2w = 3.2w + 10</em>
<em>Combine the remaining like terms. I subtracted 3.2w from both sides. </em>
<em>5.2w + (-3.2w) = 3.2w + (-3.2) +10</em>
<em>2w = 10</em>
<em>Now divide</em>
<em>2w = 10</em>
<em>w = </em>
<em />
<em>w = 5</em>
<em />
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts
m =
= 2
Note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = 2x + 2 ← equation of line