Answer: 42°
<u>Step-by-step explanation:</u>
HJ is an angle bisector of ∠IHK so
∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ
3a + 6 = 5a - 18
6 = 2a - 18
24 = 2a
12 = a
∠IHJ = 3a + 6
= 3(12) + 6
= 36 + 6
= 42
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
a(n)=-5+(n-1)3
a(20)=-5+(20-1)3
a(20)=52
Answer:
30 students
Step-by-step explanation:
Given

---- percentage of those that returned their slips
Required
Determine the number of those that returned their slips
Represent the number with n
To calculate n, we simply multiply the number of students by the percentage of those that returned their slips
i.e.

Convert % to decimal


<em>Hence, 30 students returned their slips</em>
Answer:
Step-by-step explanation:
Term 2 - term 1 = -6 - 1 = -7
Difference = -7
Tn = a + (n-1)d
= 1 + (n-1)*(-7)
= 1 -7n + 7
= 8 - 7n