The measures of the unknown angles are as follows:
- ∠1 = 27
- ∠2 = 97°
- ∠3 = 56°
- ∠4 = 27°
- ∠5 = 56°
<h3>How to find the measures of angles?</h3>
When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles etc.
The parallel lines are line m and line l . The parallel lines m and l are cut by two transversals.
Therefore, the measures of the unknown angles are as follows:
∠1 = 27°(vertically opposite angles)
∠1 = ∠4(alternate angles)
∠4 = 27°
Alternate angles are congruent. Vertically opposite angles are congruent.
Therefore,
∠1 + ∠2 = 124
27 + ∠2 = 124
∠2 = 124 - 27
∠2 = 97°
∠3 = 180 - ∠2 - ∠1 (sum of angles on a straight line)
∠3 = 180 - 97 - 27
∠3 = 56°
∠5 = 180 - ∠4 - ∠2
∠5 = 180 - 97 - 27
∠5 = 56°
learn more on angles here: brainly.com/question/14684647
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Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
<h3>
Answer: E) 1/5</h3>
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Method 1
Use your calculator to find the decimal version of each fraction
- 4/10 = 0.40
- 12/25 = 0.48
- 14/20 = 0.70
- 28/50 = 0.56
- 1/5 = 0.20
We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.
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Method 2
To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)
In this case, the LCD is 100
- 4/10 = 40/100 .... multiply top and bottom by 10
- 12/25 = 48/100 .... multiply top and bottom by 4
- 14/20 = 70/100 .... multiply top and bottom by 5
- 28/50 = 56/100 .... multiply top and bottom by 2
- 1/5 = 20/100 .... multiply top and bottom by 20
The last fraction has the smallest denominator, so 1/5 is the smallest.
Answer:
I think its c. 40
Step-by-step explanation:
