Tell whether the sequence below is arithmetic if it is whats the common difference 2, 7, 13, 20? i need !

the Answer is no the sequence is not arithmetic  

Step-by-step explanation:

the sequence 2, 7, 13, 20 is not have a number in common here i will show you.

try adding 2 plus 5 you get 7 but you add 5 to7 you do not get 13 you get 12 so that is not the number in common.

now try 2 plus 6 you get 8 so that is not it

now try 2 plus 2 you get 4 so that is not it

so all that is left is the sequence is not arithmetic.  Your Welcome

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°