In the diagram, ce = 12 and be = 5.

based on the given information, ae =

12 units

Step-by-step explanation:

From the given figure, it can be seen that AB=BC, thus

From ΔBEC, using the Pythagoras theorem, we have

Now, from ΔABE, using the Pythagoras theorem, we have

Thus, the measure of AE is 12 units.

we know that

AB=BC ------> given problem

Step

In the right triangle BCE

Find the value of BC

Applying the Pythagorean Theorem

in this problem we have

substitute the values

Step

In the right triangle ABE

Find the value of AE

Applying the Pythagorean Theorem

in this problem we have

substitute the values

therefore

the answer is

The length of side AE is

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40