Step-by-step explanation:
1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.
2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.
3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.
4. In triangles PRS and PQS, all three angles are equal.
Answer:
The answer to your question is b = 11.31 cm or 8
cm
Step-by-step explanation:
Data
hypotenuse = 18 cm
one leg = 14 cm
second leg = ?
Process
1.- Use the Pythagorean Theorem to solve this problem
c² = a² + b²
c = hypotenuse
a = longer leg
b= shorter leg
2.- Substitution
18² = 14² + b²
-Solve for b
b² = 18² - 14²
-Simplify
b² = 324 - 196
b² = 128
-Find the prime factors of 128
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
128 = 2⁶2¹
-Result
b = 11.31 or 8
Answer:
cancel out
Step-by-step explanation:
The probability that the train will be there when Alex arrives is 0.1.
Given that the time that train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.
We are required to find the probability that the train when Alex arrives.
Probability is the likeliness of happening an event among all the events that are possible to happen.
Probability=Number of items/total number of items.
Number of combinations of timings in which the train may have arrived=60/10=6 combinations
Number of ways in which Alex arrives at the station=60.
Probability=6/60
=1/10
=0.1
Hence the probability that the train will be there when Alex arrives ie 0.1.
Question is incomplete. The following things should be included:
Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.
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