Alright only like 6 more questions left to finish and hopefully ace this quiz, ?

5. C       6. C

Step-by-step explanation:

5.

Total Number of events = 20

Total Number of even dice rolls = 7

Probability = Total even dice rolls / No of events

                  =7/20

                  = 0.35

which is option c

6. Total babies= 15

Babies with weight between 7 and 8 kg = 5

probability = No of babies between 7 and 8 kg weight / total babies

                  = 5/15

                  =0.333

which is option C

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°