Answer:
Look at the proof down
Step-by-step explanation:
The given is;
→ ∠1 and ∠2 form a linear pair
→ ∠1 ≅ ∠3
We want to prove;
→ ∠2 and ∠3 are supplementary
<em>We will write the proof in like a table</em>
1. ∠1 and ∠2 formed a linear pair ⇒ 1. Given
2. m∠1 + m∠2 = 180° ⇒ 2. Sum of angles on a straight line
3. ∠1 and ∠2 are supplementary angles ⇒ 3. Supplementary angles add up to 180°
4. ∠1 ≅ ∠3 ⇒ 4. Given
5. m∠2 + m∠3 = 180° ⇒ 5. Substitution method
6. ∠3 is a supplement of ∠2 ⇒ 6. Supplement of equal angles
7. ∠2 and ∠3 are supplementary ⇒ 7. Proved
Answer:
The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.
Answer:
a = 20
Step-by-step explanation:
The mean is calculated as
mean = 
=
= 
Then
= 27 ( multiply both sides by 5 to clear the fraction )
115 + a = 135 ( subtract 115 from both sides )
a = 20
Solution: The formula for mean is:

Where:
is the sum of given observations
is the number of observations


rounded to two decimal places
To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.
Therefore, the median is:






Therefore, the median = 1.53
Answer:
exact form
11/5
decimal form 2.2
mixed number form 2 1/5
Step-by-step explanation: