Answer: x=2
Step-by-step explanation:
Distance between the two cities:
453 - 333 = 120 miles.
Rest area is 2/3 of the way:
120 x 2/3 = 240/3 = 80 miles.
Divide the miles to the rest stop by his speed:
80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.
( 1 hour and 20 minutes)
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.
