Answer:
triangle DCA is congruent to triangle BAC - because of AAS (angle-angle-side) theorem
Step-by-step explanation:
Answer:
B. The square root of 34 is an irrational number.
Step-by-step explanation:
The square root of 34 is a rational number if 34 is a perfect square.
Since 34 is not a perfect square, it is an irrational number.
Answer:
The unit rate is accurately 
(km/minute)
Step-by-step explanation:
(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.
The unit rate for this problem is also known as the speed of the vehicle.
So to find the speed, you need to use distance over time.
---> Unit rate: 
/ 1 = (km/minute)
(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.
Same process:
---> Unit rate: 
/ 2 =
Because of this, the unit rate is accurately (km/minute)
Answer: No
Step-by-step explanation: Because it is.
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
