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Alisiya [41]
2 years ago
5

I need help fast what is 9m−​(3+7​m) simplified?

Mathematics
1 answer:
iogann1982 [59]2 years ago
4 0

Answer:

Simplifying 9m + -3 + -7m = 0

Reorder the terms: -3 + 9m + -7m = 0

Combine like terms: 9m + -7m = 2m -3 + 2m = 0 Solving -3 + 2m = 0

Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.

Add '3' to each side of the equation. -3 + 3 + 2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 0 + 3 2m = 0 + 3 Combine like terms: 0 + 3 = 3 2m = 3

Divide each side by '2'. m = 1.5

Step-by-step explanation:

Hope this helps :)

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zysi [14]

Answer:

m < FBE is 62°

Step-by-step explanation:

Given the following facts:

BC bisects < FBE  

m < FBC = (10x - 9)°

m < CBE = (4x + 15)°

Since < FBC and < CBE are <u>adjacent angles</u> that have the same vertex, point B:

We can use the Angle Addition Postulate which states that If point B lies in the interior of < FBE then m < FBC + m < CBE = m < FBE.  

Essentially, the <u>Angle Addition Postulate</u> implies that <em>the sum of the parts equal the whole. </em>

To find the measure of < FBE:

Establish the following equality statement:

m < FBC = m < CBE

Substitute the given values into the equality statement:

    (10x - 9)° = (4x + 15)°

Combine like terms:

    10x - 9 = 4x + 15

Subtract 4x from both sides:

     10x - 4x - 9 = 4x - 4x + 15

    6x - 9 = 15

Add 9 to both sides:

    6x - 9 + 9 = 15 + 9

    6x = 24

Divide both sides by 6 to solve for x:

    6x/6 = 24/6

    x = 4

Now that we have the value for x, substitute 4 into the sum of the given values for < FBC and < CBE to solve for m < FBE:

     m < FBC + m < CBE = m < FBE

     (10x - 9)° +  (4x + 15)° = m < FBE

    [10(4) - 9]° + [4(4) + 15]° = m < FBE

    (40 - 9)° + (16 + 15)° = m < FBE

    31° + 31° = m < FBE

    62° = m < FBE

Therefore:

    m < FBC = 31°

    m < CBE = 31°

    m < FBE is 62°

I'd greatly appreciate it if you could please mark my answers as the Brainliest, if you find my explanation helpful :)

4 0
2 years ago
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