The diagonals of a rectangle are congruent so set them equal to each other to get x = 2x - 7. isolate the variable (0 = x - 7 — x = 7) to get x = 7. the diagonals are seven.
Answer:
Step-by-step explanation:
Let
be the cost of renting from Mozart's Music Store for
years, and
be the cost of renting from Bach's Music Store for
years.
From the problem statement, we can come up with the following equations:


Plugging in
for each equation, we can get the answer:







From this, we can see that the value is equal for both stores.
Answer:
<h2>V = 605 in³</h2>
Step-by-step explanation:
The formula of a volume of a pyramid:

B - area of a base
H - height
We have the square in the base with side length a = 11 in.
Area of a base:

Calculate the volume:

Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:

Now we will check if the given options can be simplified to 1:2
So,
Option A:

Option B:

Option C:

Option D:

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.