Please help the question is in the picture

- True

- True

- False

- True

Step-by-step explanation:

- Subtracting the equation will get rid of y variable therefore it's a correct and logical first step to solve the system

- The solution is indeed (-3, -3) as if we substitute these values in both equation, the equation will be correct and valid.

(Correct)

(Correct)

- We have already determined the logical first step. Multiply by -2 will not get rid of any of the variables. Therefore, this is false.

- The solution can be written as one value since x = y = -3. Therefore, this statement is true.

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°