Me :

a math class and a science class have a total of 45 people in them. the math class has 5 more students than the science class. how many students are in the math class?

20

22

25

26

answer: 25. 5 more than 20 is 25. 20 + 25 is 45.

answer:

25

step-by-step explanation:

(x) + (x - 5) = 45

    2x-5=45

      +5   +5

2x=50

x= 50/2

final answer x=25  

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°