Answer:
It would be 2.17391304348 but you can round it to the nearest tenths or hundreths, whatever you choose
Step-by-step explanation:
If you want to round it to the nearest tenths, then it would be 2.2
If you want to round it to the nearest hundreths, it would be 2.17
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84 goes into 6 0.33333 and so on
Answer:
146°; 34°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to equal 180°. The supplement of one angle = 180° - its measure.
Given that an angle measures 112° more than its supplementary angle,
let x = the angle (larger angle)
Supplement of x = (180 - x) (smaller angle)
x = (180 - x) + 112
Solve for x
x = 180 - x + 112
x + x = 180 - x + 112 + x
2x = 180 + 112
2x = 292
2x/2 = 292/2
x = 146
The angle is 146°
Its supplement is 180 - 146 = 34°
<h3>
Answer: 20 cm, 35 cm, and 50 cm</h3>
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Explanation:
The sides are in the ratio 4:7:10
This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.
Add up the sides and set this equal to the given perimeter 105. Solve for x.
4x+7x+10x = 105
21x = 105
x = 105/21
x = 5
This value is then plugged into each side
- 4x = 4*5 = 20
- 7x = 7*5 = 35
- 10x = 10*5 = 50
The triangle has sides of 20 cm, 35 cm, and 50 cm.
Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.