# The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph. How far will the peregrine falcon fly in the time it takes the eagle to fly 40 miles?

The peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

### What is the average speed?

The average speed is the total distance traveled by the object in a particular time interval.

The average speed is a scalar quantity.

The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph.

The time to fly 40 miles (that time is x):

miles        hours

30      ⇒       1

40      ⇒       x

We use the ruleof three which is to multiply the cross quantities on the table and divide by the remaining quantity:

x = 40(1)/30

x = 4/3 hour

it takes the eagle 4/3  flies to fly 40 miles.

Now we use the velocity of the falcon: 48mph, which can also be represented as:

miles        hours

48      ⇒       1

and we need the distance in miles that the falcon flies in 4/3 hours :

miles        hours

48      ⇒       1

x        ⇒       4/3

Again we use the rule of three (multiply cross quantities and divide by the remainingquantity)

x = (48)× (4/3)

x = 64 miles

Hence, the peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.

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64

Step-by-step explanation:

64 miles

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In the diagram below, AB | CD, AD || BC, mZCDE = 45° andmZC = 73º. Find mZADE.
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Step-by-step explanation:

Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:

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