Answer:
2
Step-by-step explanation:
All triangles have angles that add up to 180 so the first one add 76 and 59 and subtract that from 180 to get the missing angle remember EACH triangle is 180 degrees when ALL the angles are added together on the ones with x solve for x then figure out the answer from there hope this helps
Answer:
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Step-by-step explanation:
Call the speed of the truck (x) miles per hour. As per the given information, the car is (19) miles per hour faster. Thus, one can form expressions to represent the speeds of the vehicles.
car = ( x + 19 ) mph
truck = ( x ) mph
Using the formula, ( (speed) * (time) = (distance) ), one can say that the speed of the car, times the time it took plus the speed of the truck times the time will equal the distance between the two vehicles:
(( car speed )( time )) + (( truck speed )( time )) = ( distance between vehicles )
Substitute,
( ( x + 19 ) ( 8 ) ) + ( ( x ) ( 8 ) ) = 1048
Simplify,
8x + 152 + 8x = 1048
16x + 152 = 1048
-152 -152
16x = 896
/16 /16
x = 56
Add (19) to find the speed of the car:
truck speed + 19
= 56 + 19
= 75
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Step-by-step explanation:
52 + 14 < 3x
66 < 3x
66/3 < x
22 < x