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ella [17]
3 years ago
10

What is a letter or symbol in algebra?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0
Symbol Symbol Name Meaning / definition Example
x x variable unknown value to find when 2x = 4, then x = 2
≡ equivalence identical to
≜ equal by definition equal by definition
:= equal by definition equal by definition
~ approximately equal weak approximation 11 ~ 10
≈ approximately equal approximation sin(0.01) ≈ 0.01
∝ proportional to proportional to y ∝ x when y = kx, k constant
∞ lemniscate infinity symbol
≪ much less than much less than 1 ≪ 1000000
≫ much greater than much greater than 1000000 ≫ 1
( ) parentheses calculate expression inside first 2 * (3+5) = 16
[ ] brackets calculate expression inside first [(1+2)*(1+5)] = 18
{ } braces set
⌊x⌋ floor brackets rounds number to lower integer ⌊4.3⌋= 4
⌈x⌉ ceiling brackets rounds number to upper integer ⌈4.3⌉= 5
x! exclamation mark factorial 4! = 1*2*3*4 = 24
| x | single vertical bar absolute value | -5 | = 5
f (x) function of x maps values of x to f(x) f (x) = 3x+5
(f ∘g) function composition
(f∘g) (x) = f (g(x))
f (x)=3x,g(x)=x-1⇒(f ∘g)(x)=3(x-1)
(a,b) open interval (a,b) = {x | a < x < b} x ∈ (2,6)
[a,b] closed interval [a,b] = {x | a ≤ x ≤ b} x ∈ [2,6]
∆ delta change / difference ∆t = t1 - t0
∆ discriminant Δ = b2 - 4ac
∑ sigma summation - sum of all values in range of series ∑ xi= x1+x2+...+xn
∑∑ sigma double summation
∏ capital pi product - product of all values in range of series ∏ xi=x1∙x2∙...∙xn
e e constant / Euler's number e = 2.718281828... e = lim (1+1/x)x , x→∞
γ Euler-Mascheroni constant γ = 0.527721566...
φ golden ratio golden ratio constant
π pi constant π = 3.141592654...
is the ratio between the circumference and diameter of a circle
c = π·d = 2·π·r
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These two scalene triangles are similar with a scale of 4:5. What is true about these figures?
disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be \frac{4}{5} not \frac{5}{4} as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be \frac{c}{f}  = 1. Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be \frac{ED}{AB} =  \frac{5}{4}. Hence option A is correct answer.

Hope it will help :)




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