Answer:
it is given
, angle 2
, angle 3
, converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is <u>given
</u>. We see that <u>
angle 2
</u> is congruent to <u>angle 3</u> by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the <u>
converse alternate exterior angles theorem
</u>.
If the questions are asking where the two equations meet the answer is (1,1)
Answer:
PEMDAS
Step-by-step explanation:
PEMDAS
Answer:
The large pack is a better deal!
Step-by-step explanation:
so first we need to figure out how much the individual beads cost.
Small pack: $ 3.60÷90 = 0.04 cents per bead
Large pack: $9.00 ÷ 300 = 0.03 cents per bead
Hope this helps!!
Have a great day!!
and 
are the <em>farthest</em> from the origin and 
is the <em>closest</em> from the origin.
Let be a curve of the form 
. The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where 
is the square distance function.
We can modify (1) as following:
![r = [27-3\cdot (y-2)^{2}]+y^{2}](https://tex.z-dn.net/?f=r%20%3D%20%5B27-3%5Ccdot%20%28y-2%29%5E%7B2%7D%5D%2By%5E%7B2%7D)
(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
Second derivative test
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: , .
Closest points: .
and are the <em>farthest</em> from the origin and is the <em>closest</em> from the origin.
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
