Answer:
50 deg
Step-by-step explanation:
The circles are congruent, so all radii of both circles are congruent.
The given central angles are congruent, so the triangles are congruent by SAS.
Since each triangle has 2 congruent sides (the radii), opposite angles are congruent.
m<DFE = m<J = 80 deg
m<H = m<G = x
m<H + m<G + m<J = 180
x + x + 80 = 180
2x + 80 = 180
2x = 100
x = 50
m<H = 50
Answer:
NO.
Step-by-step explanation:
If the 2 prime numbers are odd then the product cannot be a square number because the only factors are the original prime numbers. If one of the prime numbers is 2 then the product will be an even number , but again the only factors will be 2 and the other prime number.
So the answer is No.
Answer:
120 miles
Step-by-step explanation:
Distance = 150 miles
train 1 = 60 mph
train 2 = 90 mph
directions of trains = towards each other
Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour
Speed of fly = 120 mph
Since fly has been flying for one hour, it travelled 120 miles.
Answer:
Step-by-step explanation:
Total weight of aluminum cans that Pete collected for recycling is 47 pounds.
Total weight of aluminum cans that Jo collected for recycling is 52 pounds.
They can get $0.21 per pound for the cans. Therefore,
The total amount that Pete will get for collecting 47 pounds of aluminum would be
0.21 × 47 = $9.87
The total amount that Jo will get for collecting 52 pounds of aluminum would be
0.21 × 52 = $10.92
The total amount of money that they would get is
9.87 + 10.92 = $20.79
