Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
<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.
The slope is rise over run.
Rise is the height and run is the length.
Slope = 6/18, which reduces to 1/3
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D = 
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Answer:753.98
Step-by-step explanation:4^2*15*pie
