Out of a survey of 49 randomly chosen students 12 said they were going to attend a concert predict the number the number of students who attend the school

613 students.

Step-by-step explanation:

Your question does not include the number of tickets sold as that will enable us to find out the number of students.

For that reason I will assume a number and you will then get a reference on how to solve this question.

Let us assume that 150 tickets were sold.

Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.

This means that 12/49 should give us the same as 150/x with x being the total population of the school.

Solving for x,

12/49 = 150/x

12x = 150 * 49

12x = 7,350

x = 7,350 / 12

x = 612.5

x = 613 students.

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°