2x + 4 = 3x - 10
-2x and +10 to both sides
14 = x
the answer is x = 14
Answer:

Below is the procedure that was used to find the answer.
Step-by-step explanation:
Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.
According to the information provided in the exercise, we know that The weight of an elephant is
times the weight of a cat. Based on this we can write the following equation:

If the weight in pounds of the elephant is:

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.
Then we get:

Answer:
54 feet
Step-by-step explanation:
We can use proportions
1 inch 27 inches
--------- = ------------
2 feet x feet
Using cross products
1x = 54
The building is 54 feet
Answer:

Step-by-step explanation:
The diagonal of any square with side length
is equal to
. Since the side length of the square is 10, the diagonal must be
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (
).
Call the diagonal
. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:
