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hellodarkness14
23.12.2020 •
Mathematics
Given parallelogram SNOW, diagonals SO and NW intersect at D. If SD = 9x+5 and OD = 13X - 3, find the length of SO
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Ответ:
The length of SO is 46 units
Step-by-step explanation:
In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
Ответ:
X= 3.3 kg
Step-by-step explanation:
Start with lb-kg conversion
X/2.2lb = 1/2.2
X= 3.3 kg
1 lb =16 oz
1 kg =2.2 lb