Answer:
x = 3, y = 6
Step-by-step explanation:
In the figure attached,
If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.
By this property,




3x = 2x + 3
3x - 2x = 3
x = 3
Similarly, 

y = 
y = 6
Multiply 4(-5) then add 6 and theres your X
Answer:
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Step-by-step explanation:
It is given that:
Let,
A represent weight of Train A
B represent weight of Train B
According to given information:
A + B = 489 Eqn 1
A - B = 419 Eqn 2
Adding Eqn 1 and 2
A + B + A - B = 489 + 419
2A = 908
Dividing both sides by 2

Putting A = 454 in Eqn 1
454 + B = 489
B = 489 - 454
B = 35
Therefore,
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Answer:
23
Step-by-step explanation:
Because 23•23=529 so the square root of 529 is 23.
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles