The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
![15x-2 = 13x+2](https://tex.z-dn.net/?f=%2015x-2%20%3D%2013x%2B2%20)
and solve it for x: subtract 13x from both sides to get
![2x-2=2](https://tex.z-dn.net/?f=%202x-2%3D2%20)
and add 2 to both sides to get
![2x = 4 \implies x = 2](https://tex.z-dn.net/?f=%202x%20%3D%204%20%5Cimplies%20x%20%3D%202%20)
Check: if we plug the value we found we have
![13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2](https://tex.z-dn.net/?f=%2013%5Ccdot%202%20%2B%202%20%3D%2026%2B2%20%3D%2028%20%3D%2015%5Ccdot%202%20-%202%20%3D%2030-2%20)
So the angles are actually the same, as requested.
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
20 is the greatest common factor
Each group of 20 will have 1 brownie & 5 cookies
<span>So we want to know how long will the scale drowing of the building be if the building is 265.25m long and the scale is 1 inch on the drawing is equal to 25 meters of the building. To find the answer lets scale the building. If the real length of the building is 256.25 meters, then the number of inches will be: 256.25/25=10.25 inches. </span>