Answer: 110°
<u>Step-by-step explanation:</u>
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°
Answer:
The new amount paid to mechanics per after by new owner is $ 19 Answer
Step-by-step explanation:
Given as :
The amount paid to mechanics initially = $ 20 per hour
Now, The new owner paid less at the rate = 5%
Let the amount paid to the mechanics after 5 % less = x per hour
So, According to question
The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - 
)
or, The new amount paid to mechanics per hour = $ 20 × ( 1 - 
)
I.e The new amount paid to mechanics per hour = $ 20 × 0.95
∴ The new amount paid to mechanics per hour = $ 19
Hence The new amount paid to mechanics per after by new owner is $ 19 Answer
Answer:
<h2>35 × (3 + m)</h2>
Step-by-step explanation:
The distributive property:
<em>a × (b + c) = a × b + a × c</em>
105 = 35 × 3
35m = 35 × m
105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)
80/4=20
20x7=140
7 shoes = 140
Answer: rate of train A = 120 km/h
rate of train B = 101 km/h
Step-by-step explanation:
Let x = the speed of train A
Let y = the speed of train B
One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,
x = y + 19 - - - - - - - - - -1
Recall
Speed = distance/time
Distance = speed × time
If they meet in 3 hours, it means that train A has travelled a distance of
x × 3 = 3x km
And train B has travelled a distance of y × 3 = 3y km
Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,
3x + 3y = 663 - - - - - - - - - 2
Substituting x = y + 19 into equation 2, it becomes
3(y + 19) + 3y = 663
3y + 57 + 3y = 663
6y + 57 = 663
6y = 663 - 57 = 606
y = 606/6 = 101 km/h
x = y + 19 = 101 + 19
x = 120 km/h
