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Neporo4naja [7]
3 years ago
7

If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

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)°

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A suitable graphing calculator will work these complex number problems easily.

4 0
2 years ago
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds
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Step-by-step explanation:

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3 years ago
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M is the midpoint of segment CS. C is at (-8, 2) M is at the origin. What are the coordinates of S?
ahrayia [7]
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b) y₂ = (2+y₁)/2 , but y₂ = o, then:
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3 years ago
Mattie is making a collar for her dog. She needs to buy some chain,a clasp, and a name tag. She wants the chain to be 40 centime
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