Answer:
Option D:
is the correct answer.
Step-by-step explanation:
Given that:
3/4 inches on map are equal to
miles
We will find the unit rate in term of inches.
![\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5C%20inches%20%3D%207%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5CUnit%5C%20rate%20%3D%20%5Cfrac%7B15%7D%7B2%7D%2A%5Cfrac%7B4%7D%7B3%7D%5C%20miles%5C%5C%5C%5CUnit%5C%20rate%20%3D%2010%5C%20miles%5C%20per%5C%20inch)
Total distance covered by Bonnie according to map;
Total distance = ![\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B2%2B3%7D%7B4%7D)
Total distance = ![\frac{5}{4}\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%5C%20miles)
Actual distance = ![\frac{5}{4}*10 = \frac{25}{2}\ miles \\](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%2A10%20%3D%20%5Cfrac%7B25%7D%7B2%7D%5C%20miles%20%5C%5C)
Actual distance = ![12\frac{1}{2}\ miles](https://tex.z-dn.net/?f=12%5Cfrac%7B1%7D%7B2%7D%5C%20miles)
Hence,
Option D:
is the correct answer.
Answer:
They would have arrived at 5:55pm
Step-by-step explanation:
kindly see the attached file for more explanation
Answer:
x=4.5
Step-by-step explanation:
Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)
therefore: tan (theta) = (x-3) / (x) = 1 / 3
now cross multiply
3(x-3) = x
now solve for x
3x - 9 = x
-9= -2x
x= 4.5
6. vertical
7. LSM and MSN are vertical angles
8. MSN