Answer:
A, D, E
Step-by-step explanation:
Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.
Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)
To solve this problem you must apply the proccedure shown below:
1. You have that the equation of the ellipse is the following:
(x²/400)+(y²/256)=1
2. You have that:
((x-0)²/400)+((y-0)²/256)=1
3. Then, the center is:
(0,0)
4. The vertices are:
a²=400
a=√400
a=20
(-20,0)
(20,0)
b²=256
b=√256
b=16
(0,-16)
(0,16)
5. The focci is:
a²–c²=b²
√(400-256)=c
c=12
(-12,0)
(12,0)
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
