If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc

The value of x is 18.67° and m∠ebc = 113.33°

Here is the correct question:

If m∠EBD= 4x - 8 and m∠EBC= 5x + 20, find the value of x and m∠EBC.

The diagram that completes the question is shown in the attachment below:

In the diagram, we can observe that dbc is a straight line.

Also ∠ebd and ∠ebc are the angles on the straight line

Since the sum of angles on a straight line is equal to 180°, then we can write that

∠ebd +  ∠ebc = 180°

From the question

m∠ebd = 4x - 8 and  m∠ebc = 5x + 20

∴ 4x - 8 + 5x + 20 = 180°

Solving the linear equation

Then,

Now, divide both sides by 9

∴

∴ x ≅ 18.67°

For the value of m∠ebc

Since, m∠ebc = 5x + 20

∴ m∠ebc =

m∠ebc

m∠ebc =

m∠ebc = 93.33 + 20

m∠ebc = 113.33°

Hence, the value of x is 18.67° and m∠ebc = 113.33°

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

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation:

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