Answer:
The slope is 1/2.
Step-by-step explanation:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{1+3}{5+3}=\frac{4}{8}=\boxed{\frac{1}{2}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B1%2B3%7D%7B5%2B3%7D%3D%5Cfrac%7B4%7D%7B8%7D%3D%5Cboxed%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Hope this helps.
Answer:
Option B
Step-by-step explanation:
we know that
If PQ || BC, then triangles APQ and ABC are similar
Remember that
If two figures are similar, then the ratio of its corresponding sides is equal
![\frac{AP}{AB}=\frac{AQ}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BAP%7D%7BAB%7D%3D%5Cfrac%7BAQ%7D%7BAC%7D)
substitute the values
![\frac{9}{18+9}=\frac{x}{10+x}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B18%2B9%7D%3D%5Cfrac%7Bx%7D%7B10%2Bx%7D)
solve for x
![\frac{9}{27}=\frac{x}{10+x}\\ \\90+9x=27x\\ \\27x-9x=90\\ \\18x=90\\ \\x=5\ units](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B27%7D%3D%5Cfrac%7Bx%7D%7B10%2Bx%7D%5C%5C%20%5C%5C90%2B9x%3D27x%5C%5C%20%5C%5C27x-9x%3D90%5C%5C%20%5C%5C18x%3D90%5C%5C%20%5C%5Cx%3D5%5C%20units)
Answer: 25 - 2.5d > 50 - 3.25d