Answer:
Alternate-exterior angles theorem.
Step-by-step explanation:
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
Start the equation by putting the equations equal to each other 3x+14=7x-10
Next +10 on both sides
3x+14=7x-10
+10 +10
You are left with 3x+24=7x
because the 10's canceled each other out.
Next -3x on both sides
3x+24=7x
-3x +3x
You are left with 24= 10x
because like before the 3's canceled each other out
Now you will divide both sides by 10
24=10x
---- -----
10 10
2.4= X is the answer!
Refer to the image attached.
Given: 
and 
are congruent.
To Prove: 
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore, 
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Angles are the space between intersecting lines, and they are measured in degrees or radians
The measure of angle ABC is y + x
<h3>How to determine angle ABC</h3>
The given parameters are:
ABD=y,
DBC=x,
EFH=y,
EFG=x
PQS = SQR = x
To determine the measure of angle ABC, we make use of angle ABD and angle DBC
Note that angle ABD and angle DBC have common vertices at points B and D
So, we have:
ABC = ABD + DBC
Substitute known values
ABC = y + x
Hence, the measure of angle ABC is y + x
Read more about angle measures at:
brainly.com/question/17972372
Answer:
Whether the student recycle the paper or not.
Step-by-step explanation:
We are given the following in the question:
Officials of a major university want to know what percent of their students recycle paper.
A random sample of sample size 200 is taken.
We have to find the variable that is measure on each student of the sample.
Variable of measurement on each student:
Whether the student recycle the paper or not.
The student will reply a yes or no as an answer.
