Answer: x +
x = 2x - 25
Step-by-step explanation:
First, let's analyze the phrase "the sum of one-half and two-thirds the number". This would translate to:
x +
x
Then it says the last part of the expression is "twenty five less than twice the number"
2x - 25
Then, equal the two parts of the equation to each other.
x +
x = 2x - 25
Hope this helps! :)
(adding the second equation to the first one)
Answer:
72 cm
Step-by-step explanation:
You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x.
This means , so
.
Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and , you can square
to get the area. This is equal to
or 72 cm.