Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,


Solve for x






Use the value of x to find AC and DC


Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
Answer:
6. The number is 
7. The two numbers are
and 
Step-by-step explanation:
Question six can be re-worded to create the following expression:

Solve for x to find the number:

Question seven can be solved by first listing the constraints (assuming x is smaller than y):
- x and y are less than 20


To get the numbers, we can create a system of linear equations. First, solve for
in each expression:


Solve for
:

Solve for
:

Answer:
The dimension of the larger bin is x and the smaller bin is
.
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75

Hence, the dimension of the larger bin is x and the smaller bin is
.
The solution of the inequality is x ≥ 1.
Solution:
Given inequality:

To find the solution of the inequality:

Subtract 8 from both sides.


Divide by 3 on both sides.

On simplifying this, we get

The solution of the inequality is x ≥ 1.
The graph of the solution is attached below.