Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
Step-by-step explanation:
-2, -8/3, -10/3, -4, -14/3
Write as multiples of 1/3.
-6/3, -8/3, -10/3, -12/3, -14/3
This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.
Therefore, the recursive formula is:
aᵢ₊₁ = aᵢ − 2/3, a₁ = -2
Answer:
The <em>required probability</em> is 
.
Step-by-step explanation:
Let <em>A </em>be the event of rolling the number cube.
Let <em>B</em> be the event of tossing the coin.
Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.
where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.
Formula for probability of an event <em>E</em> is:
Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.
Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.
In this big ol' word problem, this is just an instance of basic multiplication/division.
If it takes it 1 hour for 3 meters...
12 ÷ 3 = 4.
It would take 4 hours for the water level to change to 12 meters.
