Step-by-step explanation:
<u>Missing reasons:</u>
- 1. Given
- 2. Definition of congruence
- 3. Linear pair postulate
- 4. Supplementary angles postulate
- 5. Definition of linear pair
- 6. Substitution property of equality
- 7. Supplementary angles postulate
Answer:
The square root of 39 is 6.245. It lies between the whole numbers 7and 8!
Answer:
2n + 2
Step-by-step explanation:
The formula for nth term of an arithmetic progression is 
In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).
Answer:
-31.2x + 28.7y + 10.5
Step-by-step explanation:
Step 1: Write expression
2.5(4.2 + 7.4y) - 3.6(8x - 4.5y) - (2.4x + 6y)
Step 2: Distribute
10.5 + 18.5y - 28.8x + 16.2y - 2.4x - 6y
Step 3: Combine like terms
-31.2x + 28.7y + 10.5
Answer:
B. csc²(x)
Step-by-step explanation:
You can use the relations ...
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
cot(x) = cos(x)/sin(x)
to replace the functions in your expression. Then you have ...
sec²(x)·cot²(x) = (1/cos(x)·cos(x)/sin(x))² = (1/sin(x))² = csc²(x)
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Alternate solution
You can also use the relation
cot(x) = csc(x)/sec(x)
Then ...
(sec(x)·cot(x))² = (sec(x)·csc(x)/sec(x))² = csc²(x)
