<h3>Given</h3>
- ∠AOB = ∠COD = x² -2
- ∠BOC = 2x -10
- ∠AOD = ∠AOB + ∠BOC + ∠COD = 16x +2
<h3>Find</h3>
- x
- the measures of the angles
<h3>Solution</h3>
Substituting the given values of the angles into the given relaion, we get ...
... (x² -2) + (2x -10) + (x² -2) = 16x +2
... 2x^2 -14x -16 = 0 . . . . . subtract the right side (16x+2)
... 2(x +1)(x -8) = 0 . . . . . . .factor
Values of x that satisfy this equation are ...
... x = -1, x = 8
The value x = -1 does not give rise to positive angle values.
For x = 8, the angles are ...
... ∠AOB = ∠COD = 8²-2 = 62
... ∠BOC = 2·8 -10 = 6
... ∠AOD = 16·8 +2 = 130 . . . . = 62 +6 +62
The answer to the question not asked is ...
... x = 8; ∠AOB = ∠COD = 62; ∠BOC = 6; ∠AOD = 130
Answer: 1 1/4
Step-by-step explanation:
In his Imperium Naturae<span>, Linnaeus established three kingdoms, namely </span>Regnum Animale<span>, </span>Regnum Vegetabile<span> and </span>Regnum Lapideum<span>. This approach, the Animal, Vegetable and Mineral Kingdoms, survives today in the popular mind, notably in the form of the parlour game question: "Is it </span>animal, vegetable or mineral<span>?". The work of Linnaeus had a huge impact on science; it was indispensable as a foundation for </span>biological nomenclature<span>, now regulated by the </span>nomenclature codes<span>.</span><span>
But the system is based solely on physical characteristics, due to not having the proper technology to investigate the molecular data of animals</span>
Answer:
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Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
7x-25 = x + 35
Subtract x from each side
7x-x-25 = x-x + 35
6x -25 = 35
Add 25 to each side
6x -25+25 = 35+25
6x = 60
Divide each side by 6
6x/6 = 60/6
x = 10