Answer:
D. ![\angle 4](https://tex.z-dn.net/?f=%5Cangle%204)
F.
Step-by-step explanation:
We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.
Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.
We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.
Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.
Answer:
625
Step-by-step explanation:
<u>here we are in an inverse proportion situation :</u>
<em>As the number of days increases </em>
<em>when the number of students decreases and vice versa.</em>
__________________
Say n is the original number of students.
___________________________________________
<u>After 15 days, the rest of food is enough for n students for 45 days, </u>
<u>or enough for n+500 students for 25 days.</u>
Then
45n = 25×(n + 500)
Then
45n = 25n + 25×500
Then
45n - 25n = 25×500
Then
20n = 12500
Then
n = 12500÷20
= 625
and thus , there were 625 students in the hostel.
The voume is 18.6 square inchs
Answer:
f(-1) = -4
Step-by-step explanation:
f(-1) simply means that what is f(x) when x = -1?
Just plug in -1 for <em>x</em> to find your answer:
f(-1) = -3(-1) + 2(-1) - 5
f(-1) = 3 - 2 - 5
f(-1) = 1 - 5
f(-1) = -4
Answer:
C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.
Step-by-step explanation:
Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.
Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.
Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.
Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.