Since ABCD is a parallelogram, the opposite sides will be parallel and equal,
Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,
So by the ASA criteria, the triangle AED is congruent to the triangle CEB,
Then the corresponding parts of the triangles will be equal,
Hence Proved.
It’s A. $25.20
You find the rate you dividing the cost ($18) by how many gallons (5). Then you multiply by what you are looking for (7 gallons). You get 25.20.
2940. To find LCM, listing the multiples may help. Then you will easily be able to view them and circle when you find a common one. :)
Answer:
<em>x</em><em> </em><em>=</em><em> </em><em>3</em>
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of <em>(</em><em>1</em><em>5</em><em>-</em><em>x</em><em>)</em>, there's <em>negative</em> sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
Answer:
Wind speed = 30 mph
Plane speed = 270 mph
Step-by-step explanation:
Given that :
Distance = 600 miles
Let speed of airplane = a ; speed of wind = b
Net speed ; with wind = a + b
Net speed against wind = a - b
Time taken with wind = 2 hours
Time taken against wind = 2.5 hours
Recall :
Speed = distance / time ; distance = speed * time
(a + b) * 2 = (a - b) * 2.5
2a + 2b = 600
a + b = 300 - - - (1)
a = 300 - b
2.5a - 2.5b = 600
a - b = 240 - - - (2)
300 - b - b = 240
300 - 2b = 240
-2b = - 60
b = 30
a = 300 - 30
a = 270
Wind speed = 30 mph
Plane speed = 270 mph
