Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Answer:
28.749 km
Step-by-step explanation:
in reality
1 foot = 0.3048 meters not 0.37
1 mile = 5,280 feet not 5,180
15 miles = 24.14016 kilometers
---------------------------
Using the numbers stated in the problem
0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km
Answer:
Part A: That 6 pounds of rice costs $18
Part B: (1,3) represents the unit price
Part C: 4 pounds of rice, because $12/3 equals 4
Step-by-step explanation:
Part A: The first point, 6, is on the amount of rice axis and the second point, 18, is on the total cost axis.
Part B: The unit price means the price for just 1 of something, so if you go to 1 pound of rice on the graph, you see it's at 3 on the total cost axis. Which means that 1 pound of rice costs $3.
Part C: From Part B you know that 1 pound of rice equals $3. So if you spend $12, then you can divide that by $3 to see how many pounds of rice you bought. 12/3 equals 4, so you bought 4 pounds of rice. Or you can count by 3's until you get to 12: 3, 6, 9, 12. That's 4 times so that means you bought 4 pounds of rice.
Answer:
(k/Df)-b = t
t=(k/Df)-b
Step-by-step explanation:
D = k/f(b+t)
k/D = f(b+t)
k/Df = b+t
(k/Df)-b = t