Answer:
The correct answer is A) x = 2 and y = 6
Step-by-step explanation:
In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.
y - 1 = x + 3
y = x + 4
Now we can do the same with the leg lengths.
y - 3 = 2x - 1
y = 2x + 2
Now that we have two equations, we can set them equal to each other to get the x value.
x + 4 = 2x + 2
4 = x + 2
2 = x
Now that we have x, we can plug it into any equation to get the y value.
y = x + 4
y = 2 + 4
y = 6
Leg CB = x and leg DE = y - 1. Becuase of the markings on the triangles, we know that CB = DE; therefore, x = y - 1. So let's use that x value when we set the 2 hypotenuses equal to each other. Before any substition, 3x - 2 = 2y + 1. Subbing in for x we have 3(y - 1) - 2 = 2y + 1. And 3y - 3 - 2 = 2y + 1. Combining like terms we have y = 6. If y = 6, we will sub it into the leg equation to find x. x = y - 1; therefore, x = 6 - 1 and x = 5. There you go! x = 5 and y = 6
519 km....ok, lets convert it to centimeters
there are 1000 meters in 1 km, so in 519 km, there are 519 * 1000 meters then.
there are 100 centimeters in 1 meter, so in (519 * 1000) meters, there are then (519 * 1000) * 100 centimeters.
that's how many centimeters Los Angeles is from San Francisco.
now, the slip rate is 2.1 cm per year.
how many times does 2.1 go into (519 * 1000 * 100)?
well, is just (519 * 1000 * 100) / 2.1.
that many years.
Answer:
Below in bold.
Step-by-step explanation:
Work in times to fill 1 pail:-
tap A takes 55/4 seconds
tap B takes 50/3 seconds
Let time to fill one pail be x when filling together, then:
3/50 + 4/55 = 1/x
165x + 200x = 55*50
x = 2750 /(365) = 7.5342 seconds
To fill 16 pails it takes 7.5342* 16
= 120.55 seconds
= 2 minutes 1 second to the nearest second..