Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ 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
Answer:
m∠LOM=48°
Step-by-step explanation:
∠LON=180° AND ∠LON=∠LOM+∠MON
⇒ 7x-92+6x+12=180
⇒13x=180+92-12
⇒x=20
m∠LOM=7x-92°=140°-92°=48°
Answer:
5.291 feet
Step-by-step explanation:
I used pythagorus thoery
AG≈GB;
Find GB using pythagorean theorem: 4²+3²=c²,
√c=√25=5. AG=5
