Answer:
The real-life distance between the park and the theatre is of 12 km.
Step-by-step explanation:
Scale of 1:400,000
Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km
What is the real-life distance between the park and the theatre?
On the map, the distance between them is of 3 centimeters.
3*4 = 12
The real-life distance between the park and the theatre is of 12 km.
x = player1
y = player 2
z = player 3
y = 2x or 1/2 y =x
y = z-10 or z = y+10
x+y+z=70
substitute x= 1/2 y and z = y+10 into the above equation
1/2y + y + y+10 = 70
2.5 y + 10 = 70
subtract 10 from each side
2.5 y = 60
divide by 2.5 on each side
y = 60/2.5
y =24
x = 1/2 y
x = 1/2 *24 = 12
z = y+10 = 24+10 = 34
The three players scored 12, 24, 34
Answer:
any, equal
Step-by-step explanation:
A Simple Random Sample reflects that any individual in the population has an equal chance of being selected.
Answer:
x=4 and y=2
Step-by-step explanation:
Name the triangles as ABC and DEF,
Now, since both the triangles are congruent by HL rule, therefore
(1)
and 
(2)
Substituting the value of in equation (1), we get
Therefore, Putting y=2 in equation (2),
Answer:
x = -3 and y = -4
x + y = -3-4 = -7
Step-by-step explanation:
-4x + 9y = -11 ------------------------------------------------------------------------(1)
-3x + 7y = -9--------------------------------------------------------------------------(2)
multiply through equation (1) by 3 and multiply through equation(2) by 4
-12x + 27y = -33 -----------------------------------------------------------------------(3)
-12x + 28y = -36 ----------------------------------------------------------------------(4)
subtract equation (1) from equation (2)
y = -3
substitute y = -3 into equation (2)
-3x + 7(-3) = -9
-3x -21 = -9
add 21 to both-side of the equation
-3x -21 + 21 = -9 + 21
-3x = 12
divide both-side of the equation by -3
-3x/-3 = 12/-3
x = -4
x = -3 and y = -4
