Answer: 5, 3, 2, 4, 1
<u>Step-by-step explanation:</u>
The proof should be written as follows:
Statement Reason
1. ABCD is a parallelogram 1. Given
2. AB||CD and AC||BD 2. Definition of a parallelogram
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
This is the order provided in your question:
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
2. AB||CD and AC||BD 2. Definition of a parallelogram
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
1. ABCD is a parallelogram 1. Given
<em>Note: #2 & #4 might be reversed</em>
The first odd number is 1. The next is 2 more than the previous one.
It's an arithmetic sequence.
The general term of an arithmetic sequence:
a_n - n-th term
a_1 - first term
d - common difference.
We have
Substitute:
<h3>Answer: 137th odd number is equal 273.</h3>
we are given
to write the sets of points from -2 to 5 but excluding 2 and 5 as a union of intervals
so, first interval is
-2 to 2 by excluding 2
[-2,2)
Second interval is
2 to 5 by excluding 2 and 5
so, we can write as
(2,5)
now, we can find total interval
we get
[-2,2) ∪ (2,5)..............Answer
Answer:
x < -3
Step-by-step explanation:
The domain in which the function is increasing or getting bigger is from x is negative infinity to is -3
x < -3
Answer: There is 5 non blue sock in Josh's drawer
Step-by-step explanation:
The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.