Solve the equation.

–3x + 1 + 10x = x + 4

Add  − 3 x  and  10 x . 7 x + 1 = x + 4

Move all terms containing  

x

to the left side of the equation.

6 x + 1 = 4

Move all terms not containing  

x

to the right side of the equation.

6 x = 3

Divide each term by  

6

and simplify.

x = 1 2

The result can be shown in multiple forms.

Exact Form:

x =  12

Decimal Form:

x = 0.5

x= 0.5

Step-by-step explanation:

It makes sense

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°

fd

step-by-step explanation: