The value of x is 12. The angles are supplementary and add up to equal 180. Solve for x and you'll get 12. Hope this helps!
(2,-7) is the point after the translation is made to find the original point just do the opposite of the equation so for x it would be
2-4=-2
Y would be
-7+3=-4
So the answer is (-2,-4)
Answer:
416 people
Step-by-step explanation:
The way you get the answer is by adding up the number of people from the sample, which gives you 175 people. After finding that you take the number of people who like pretzels (26) and divide it by 175, giving you 0.16 or 16%.
This means 16% of people will like pretzels, so you apply this to the actual number of people coming, 2600, and find 16% of 2600 (0.16 x 2600) which is 416 people. I hope this makes sense :)
Let
x----------> the number of students
y---------> the time in minutes
we know that
<span>If the time varies inversely with the number of students
</span>so
y=k/x
for x=3
y=16 min
16=k/3---------> k=48
y=48/x
for x=2
y=48/2-------> y=24 minutes
the answer is
24 minutes
Answer:
Answer D
Step-by-step explanation:
Triangle XYZ is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.