Answer:
37 degrees
Step-by-step explanation:
As XW and YZ are parallel lines, you can use the co-interior angle rule to solve for x.
This is when you see a C-shape between parallel lines. The rule states that the sum of these two co-interior angles is 180 degrees.
Therefore,
⇒
⇒ [collect like terms of x]
⇒ [add 5 to both sides]
⇒ [divide both sides by 5]
Hope this helps! :D
The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
<h3>1) Define variables</h3>Let the total weight of the 35 students be y kg and the weight of the new student be x kg.
<h3>2) Find the total weight of the 35 students</h3><u></u>
y= 35(45)
y= 1575 kg
<h3>3) Write an expression for average weight of students after the addition of the new student</h3>New total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x
36(44.5)= 1575 +x
1602= x +1575
<em>Subtract 1575 from both sides:</em>
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.