Answer:
x = -13
Step-by-step explanation:
3(x+1) = 2(x-5)
3x + 3 = 2x - 10
3x - 2x = -10 - 3
x = -13
<h2>
Hello!</h2>
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:
<h2>
Why?</h2>
To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets
Then, Sara gives Tim x Sweets
Then. Sara eats 7 of her Sweets
Then, Tim eats half of his sweets
So, the expression for the number of sweets that Sara and Tim have now, are:
Have a nice day!
In the figure assume that the circle are mutually tangent and that the circle with centre at A has radius 1. The lines AB and AC are tangent to the circle with centre O at B and C respectively. If the area of the shaded region is π/4, the radius of the circle centered
Let, ∠CAB=θ
Then, area of sector,
360
θ
π(1)
2
=
4
π
θ=90
∘
Now, the line joining the centre of the circle bisects the angle formed between two tangets, hence, ∠CAO=45
∘
Now, In △AOC
∠ACO=90
∘
(Angle between the tangent and the radius)
sin45=
AO
OC
2
1
=
r+1
r
r+1=r
2
r=
2
−1
1
(Rationalizing)
r=
2
+1
Step-by-step explanation:
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Answer:
20 (this is the lowest common denominator)
Answer:
x = 59
Step-by-step explanation:
x−2=57
Add 2 to each side
x−2+2=57+2
x = 59
