Answer:
12
Step-by-step explanation:
1. Base x Height x Length
1 x 4 x 3= 12
To make this a little clearer, let's give the pairs of inequalities the same denominator:
<span>Question 1:
</span>
![\frac{11}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B15%7D%20)
?
![\frac{5}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%7D%20)
First, apply the common denominator to the first fraction:
![(\frac{11}{15})7 \\ \frac{11}{15} * \frac{7}{7} \\ \frac{11*7}{15*7} \\ \frac{77}{105}](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B11%7D%7B15%7D%297%20%5C%5C%20%20%5Cfrac%7B11%7D%7B15%7D%20%2A%20%20%5Cfrac%7B7%7D%7B7%7D%20%20%5C%5C%20%20%5Cfrac%7B11%2A7%7D%7B15%2A7%7D%20%20%5C%5C%20%20%5Cfrac%7B77%7D%7B105%7D%20)
Do the same for the second:
![15( \frac{5}{7}) \\ \frac{5}{7}* \frac{15}{15} \\ \frac{5*15}{7*15} \\ \frac{75}{105}](https://tex.z-dn.net/?f=15%28%20%5Cfrac%7B5%7D%7B7%7D%29%20%5C%5C%20%20%5Cfrac%7B5%7D%7B7%7D%2A%20%5Cfrac%7B15%7D%7B15%7D%20%5C%5C%20%20%5Cfrac%7B5%2A15%7D%7B7%2A15%7D%20%20%5C%5C%20%20%5Cfrac%7B75%7D%7B105%7D%20%20%20)
Nest, compare the two fractions:
![\frac{77}{105} \ \textgreater \ \frac{75}{105}](https://tex.z-dn.net/?f=%20%5Cfrac%7B77%7D%7B105%7D%20%5C%20%5Ctextgreater%20%5C%20%20%20%5Cfrac%7B75%7D%7B105%7D%20)
Therefore:
![\frac{11}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B15%7D%20)
>
![\frac{5}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B7%7D%20)
<span>
Question Two:</span>
![\frac{5}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B9%7D%20)
?
![\frac{7}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B13%7D%20)
Apply the common denominator to fraction one:
![13( \frac{5}{9}) \\ \frac{5}{9} * \frac{13}{13} \\ \frac{5*13}{9*13} \\ \frac{65}{117}](https://tex.z-dn.net/?f=13%28%20%5Cfrac%7B5%7D%7B9%7D%29%20%5C%5C%20%20%5Cfrac%7B5%7D%7B9%7D%20%2A%20%5Cfrac%7B13%7D%7B13%7D%20%20%5C%5C%20%20%5Cfrac%7B5%2A13%7D%7B9%2A13%7D%20%20%5C%5C%20%20%5Cfrac%7B65%7D%7B117%7D%20%20)
Fraction two:
![9(\frac{7}{13}) \\ \frac{7}{13} * \frac{9}{9} \\ \frac{7*9}{13*9} \\ \frac{63}{117}](https://tex.z-dn.net/?f=%209%28%5Cfrac%7B7%7D%7B13%7D%29%20%5C%5C%20%20%5Cfrac%7B7%7D%7B13%7D%20%2A%20%20%5Cfrac%7B9%7D%7B9%7D%20%20%5C%5C%20%20%5Cfrac%7B7%2A9%7D%7B13%2A9%7D%20%20%5C%5C%20%20%5Cfrac%7B63%7D%7B117%7D%20)
Evaluate:
![\frac{65}{117}](https://tex.z-dn.net/?f=%20%5Cfrac%7B65%7D%7B117%7D%20)
>
![\frac{63}{117}](https://tex.z-dn.net/?f=%3Cspan%3E%5Cfrac%7B63%7D%7B117%7D%20)
Therefore:
<span>
> ![\frac{7}{13}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B13%7D%20)
</span>
Hope this helps!
This equation can have a number of solutions. Typically when solving a two-variable equation, you are looking for the slope intercept form of the line. In this case that is:
y = 3x - 1
TRUE
To visualize this property, you can draw two parallel lines and cross them by a third line.
Corresponding angles are those that are in the same relative position, between the crossing line and the parallel lines. You can see that those (corresponding) angles are equal if and only if the lines are parallel.