If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,
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Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.
<h3>What is a system of equations?</h3>- A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the <em>variables </em>are:
- Variable x: Cost of a small box.
- Variable y: Cost of a large box.
Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:
Simplifying by 7:
Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:
Since :
Then
A small box of tangerines costs $10 and a large box costs $14.
To learn more about system of equations, you can take a look at brainly.com/question/24342899
I'll help with number 5 since number 4 is a bit too small and squished to read.
Check out the attached image below for the full two-column proof. The added entries are in red.
The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.
The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.
The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"
