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Virty [35]
2 years ago
15

1 + 1 2 ⋅ (4x − 6) = −2

Mathematics
2 answers:
Dmitry [639]2 years ago
4 0

1.4375

<u>Step-by-step explanation:</u>

Step 1:

Let the given equation be     1+12(4X-6)=-2

To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.

Step 2:

Let us expand the equation as 1+ (12*4X)-(12*6)=-2

Step 3:

Let us expand it further as 1+48X-72=-2

Step 4:

To find X segregate X in one side and all other remaining terms in other side as follows

48X=-2+72-1

After the simplification the numerical value is

48X=69

Step 5:

Keep X along one side and bring 48 to the denominator of another side to find X as follows

X=69/48

And the value of X is 1.4375

ivolga24 [154]2 years ago
4 0

Answer:

x = 1 7/16

Step-by-step explanation:

1 + 1 2 ⋅ (4x − 6) = −2

Subtract 1 from each side

1-1 + 1 2 ⋅ (4x − 6) = −2-1

1 2 ⋅ (4x − 6) = −3

Distribute the 12

48x -72 = -3

Add 72 to each side

48x-72+72 = -3+72

48x =69

Divide by 48

48x/48 = 69/48

x =1 21/48

x = 1 7/16

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Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

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Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

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Subtract 12 to both sides

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Divide 2 to both sides

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<h3><u>Measure of angle M:</u></h3>

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<h3><u>Measure of angle L:</u></h3>

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\rule[225]{225}{2}

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