we have
![y=\frac{2}{5}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B5%7Dx-5)
Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem
case A) ![x-\frac{5}{4}y= \frac{25}{4}](https://tex.z-dn.net/?f=x-%5Cfrac%7B5%7D%7B4%7Dy%3D%20%5Cfrac%7B25%7D%7B4%7D)
Multiply by
both sides
![4x-5y= 25](https://tex.z-dn.net/?f=4x-5y%3D%2025)
![5y=4x-25](https://tex.z-dn.net/?f=5y%3D4x-25)
Divide by
both sides
![y=\frac{4}{5}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B5%7Dx-5)
therefore
the case A) is not equal to Fiona's equation
case B) ![x-\frac{5}{2}y= \frac{25}{4}](https://tex.z-dn.net/?f=x-%5Cfrac%7B5%7D%7B2%7Dy%3D%20%5Cfrac%7B25%7D%7B4%7D)
Multiply by
both sides
![4x-10y= 25](https://tex.z-dn.net/?f=4x-10y%3D%2025)
![10y=4x-25](https://tex.z-dn.net/?f=10y%3D4x-25)
Divide by
both sides
![y=\frac{2}{5}x-2.5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B5%7Dx-2.5)
therefore
the case B) is not equal to Fiona's equation
case C) ![x-\frac{5}{4}y= \frac{25}{2}](https://tex.z-dn.net/?f=x-%5Cfrac%7B5%7D%7B4%7Dy%3D%20%5Cfrac%7B25%7D%7B2%7D)
Multiply by
both sides
![4x-5y= 50](https://tex.z-dn.net/?f=4x-5y%3D%2050)
![5y=4x-50](https://tex.z-dn.net/?f=5y%3D4x-50)
Divide by
both sides
![y=\frac{4}{5}x-10](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B5%7Dx-10)
therefore
the case C) is not equal to Fiona's equation
case D) ![x-\frac{5}{2}y= \frac{25}{2}](https://tex.z-dn.net/?f=x-%5Cfrac%7B5%7D%7B2%7Dy%3D%20%5Cfrac%7B25%7D%7B2%7D)
Multiply by
both sides
![2x-5y= 25](https://tex.z-dn.net/?f=2x-5y%3D%2025)
![5y=2x-25](https://tex.z-dn.net/?f=5y%3D2x-25)
Divide by
both sides
![y=\frac{2}{5}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B5%7Dx-5)
therefore
the case D) is equal to Fiona's equation
<u>the answer is</u>
![x-\frac{5}{2}y= \frac{25}{2}](https://tex.z-dn.net/?f=x-%5Cfrac%7B5%7D%7B2%7Dy%3D%20%5Cfrac%7B25%7D%7B2%7D)
Answer:
X=17
Step-by-step explanation:
7x-1+5x-23=180
12x-24=180
12x=204
x=17
When two parallel lines are intersected by a transversal line, forming the angles that are supplementary
Rigid transformation do not alter the sides and angle measurements of a shape.
The true statements are:
- <em>quadrilateral 1 and quadrilateral 2 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 3 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 4 - Not congruent
</em>
- <em>quadrilateral 2 and quadrilateral 3 - Congruent
</em>
<em />
From the graph, we have the following highlights
- Quadrilaterals 2, 3 and 4 are congruent
- Quadrilateral 1 does not have equal measure with any of the other quadrilaterals.
Hence, the first three statements are not congruent, while the last statement is congruent.
Read more about congruent shapes at:
brainly.com/question/24430586
Add each sides' centimeters together to get the perimeter. multiply length x width to get the area. I hope this helped