Three hours after the bus starts out, it's 150 miles ahead of the truck. Then the truck starts out, and it gains (65-50)=15 miles on the bus every hour. If neither of them ever stops for anything, the truck will catch up to the bus in ( 150/15 ) = 10 hours. . . . (The hint is useless.)
Answer:
the value of x is acb 133°
Step 1
Multiplication property of equality
Multiplying the first equation by 5 and the second equation by 7
Step 2
Addition property of equality
Adding the two equations you get 31a =217
step 3
Division property of equality
Dividing both sides of the above equation by 31 to get the value of a
step 4
Substitution property of equality
Substituting a with 7 in the first equation
step 5
Simplify
simplifying the equation got above
step 6
Using associative property of addition by taking 14 to the other side of the equation.
step 7
Division property of equality
Dividing both side of the equation by 7 to get the value of b
Answer:
11° is the measure of the exterior angles
Step-by-step explanation:
Theorem: Alternate exterior angles are congruent when two parallel lines cut by a transversal.
First we solve for x using the theorem
6x + 5 = 7x + 4
x = 1
Substitute x = 1 into 6x + 5
6(1) + 5 = 6 + 5 = 11°