What is the probability of rolling a sum of 6 and rolling doubles?

Rolling a sum of 6: 5/36 or 13.9% chance

Rolling double: 1/6 or 16.7% chance

Step-by-step explanation:

Probability of rolling a sum of 6:

1 + 5

2 + 4

3 + 3

4 + 2

5 + 1

So there are 5 chance of getting a sum of 6 in total of 36 probability outcomes. So there would be 5/36 or 13.9% chance of rolling a sum of 6

Probability of rolling a double:

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6

So there are 6 chance of getting a double in total of 36 probability outcomes. So there would be 6/36 = 1/6 or 16.7% chance of rolling doubles.

Hope this help :3

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°