Elise is going to solve the equation shown below. Which of the following statements are correct?
X/8 = 12.5

A. Elise should subtract 8 from both sides.
B. Elise should divide both sides by 8.
C. Elise should multiply both sides by 8.
D. Elise should subtract 12.5 from both sides.

C. Elise should multiply both sides by 8.

Step-by-step explanation:

We need to undo what is being done to x

We are dividing x by 8, so to undo it we do the opposite.

The opposite of dividing is multiplication.

We multiply each side of the equation by 8

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°

step-by-step explanation: