Answer:
20 miles
Step-by-step explanation:
Set up a proportion...
0.8 miles is to x miles as 6 mins is to 2.5 hours
*You need to convert 2.5 hours into minutes first, since the first part is in minutes. There are 60 minutes in an hour, so there are 60(2.5) = 150 minutes in 2.5 hours
0.8/x = 6/150
Now solve for x by cross multiplying...
0.8(150) = 6x
120 = 6x
20 = x
She can ride 20 miles in 2.5 hours
Answer:
720g is your answer friend.
Step-by-step explanation:
- The total weight of large marbles = 6×70=420g
- The total weight of small marbles = 6×50=300g
- The total weight of 12 marbles = 420+300=720g
Answer:
The distance between Tyrone and the piano is 23.7 yards
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle P
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
∠T+∠D+∠P=180°
substitute the given values
65°+77°+∠P=180°
142°+∠P=180°
∠P=180°-142°=38°
step 2
applying the law of sines

substitute the given values


therefore
The distance between Tyrone and the piano is 23.7 yards
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]