Answer:
<em>x = 10; y = 20</em>
Step-by-step explanation:
8x + y = 100 (alternate exterior angles are congruent)
4x + y = 60 (corresponding angles are congruent)
Subtract the second equation from the first equation.
4x = 40
x = 10
Substitute x = 10 in first equation and solve for y.
8(10) + y = 100
y = 20
12 + 6 = 18 units.... takes 12 units to go to (0,0) then 6 more units to go to (6,0)
Answer:
4 miles
Step-by-step explanation:
In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.
We can now cross multiply to find the value of x.
So the car can travel 4 miles in 0.5 hours.
Hope this helped!
Answer: 45
Explanation:
When finding the equations for the numbers, remember that it is not three consecutive numbers: it is three CONSECUTIVE ODD numbers. Thus:
First number = x
Second number = x + 2
Third number = x + 4 (second number + 2)
x + x + 2 + x + 4 = 141
3x + 6 = 141
3x = 135
x = 45
This tells us that the smallest number (x) is 45. To check our answer, we can plug this value in for x:
45 + 45 + 2 + 45 + 4 = 141
141 = 141
This also tells us that the other two numbers would be 47 and 49, and 45 + 47 + 49 also equals 141.
