C=2b
d=c+7
b+c=57⇒b+2b=57⇒3b=57⇒ b=19, c=2*19=38, d=38+7=45
thats given
lets find if there is an x such that d-x=b+x=c⇔ 43-x=19+x=38
43-x=38⇒x=43-38=5
19+x=38⇒x=19
there is no single x (cant be both 5 and 19)
so, i think dan was incorrect.
Answer:
A. Actute triangle
Step-by-step explanation:
Is A because an acute triangle is a triangle where all the angles are the same.
Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.
Can not be C. because equilatiral triangles are triangles with sides that are all the same.
Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.
So it has to be A.
First, determine the distances from the towns.
Town A to Town B: Opposite angle C
d = sqrt ((12 - 7)^2 + (9 - 9)^2)
d = 5
Town B to Town C: Opposite Angle A
d = sqrt ((7 - 1)^2 + (9 - 1)^2)
d = 10
Town A to Town C: Opposite Angle B
d = sqrt (12 - 1)^2 + (9 - 1)^2)
d = 13.6
The angle with largest measure is the one opposite the greatest distance. Thus, the arrangement would be: C, A, B.
Answer:
25 liters of the 16% solution should be added.
Step-by-step explanation:
pure acid amount + pure acid amount = total pure acid amount
0.02*10 + 0.16*x = 0.12*(10+x) <<<---=== it is your balance equation; x is the amount (in liters) of the 16% solution.
0.02*10 + 0.16x = 0.12*10 + 0.12*x
0.16*x - 0.12*x = 0.12*10 - 0.02*10
(0.16 - 0.12)*x = 0.12*10 - 0.02*10
x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.
Answer. 25 liters of the 16% solution should be added.
Check. %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture. ! Correct !
(p)m=n+x/p(p)
mp-n=n+x-n
mp-n=x
