The value of y is 40 degree , Option B is the correct answer.
<h3>What is Angle Sum Property ?</h3>
According to angle sum property, the sum of all angles of a triangle is equal to 180 degree.
It is given in the question a triangle , here
the angles given are 2y , y+10 , 50 degree
From the property ,
2y + y + 10 +50 = 180
3y +60 = 180
3y = 120
y = 40 degree
Therefore The value of y is 40 degree , Option B is the correct answer.
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Let cost price be x
according to question
x + 40% of x = 280
x+ 0.4x=280
1.4x=280
x=200
this 200 is the store cost or cost price for store
30%of 200= 60
according to question,
cost for employee= 200-60= 140
She would have to work 11 hours to get enough money to buy the sneakers
But if you want the hours included for the time she needs to work to pay off the loan she would have to work 8 hours, so all together 19 hours.
Hope this helps!!
Answer:
x=4
Step-by-step explanation:
AB + BC = AC
AB= 6x, BC= x-5, AC= 23
Substituting what we know
6x + x-5 = 23
Combine like terms
7x -5 = 23
Add 5 to each side
7x-5+5 =23+5
7x = 28
Divide each side by 7
7x/7 = 28/7
x=4
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000