solve for x 1+|2+x|=9

The value of x is 9.

Step-by-step explanation:

1 + I2 + xI = 9            Get rid of the absolute bars

 1 + 2 + x = 9            Combine like terms

       3 + x = 9            Isolate the variable by subtracting 3 on both sides

              x = 9

You must isolate the variable in order to solve equations with variables.

Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on ONLY one side of the equation.

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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step-by-step explanation: