System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?

4 weeks

Step-by-step explanation:

Step one:

ben has 72 followers on his first day.

He averages 10 new followers each week

let the number of weeks be x

and the total followers be y

y= 72+10x1

Sarah also started a Twitter account and

has 100 followers on her first day and averages

3 new followers each week

let the number of weeks be x

and the total followers be y

y= 100+3x2

Step two:

let us equate the two expression to get the number of weeks x

72+10x=100+3x

collect like terms

10x-3x=100-72

7x=28

divide both sides by 7

x=28/7

x= 4 weeks

fdvs

step-by-step explanation: vsfdvsfvd

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°