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:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+
where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+
= 1260.04 (rounded off to nearest cent since it's money)
<em>The answer you are looking for is: </em>
<em><u>x=5 </u></em>
<em>Hope that helps!! </em>
<em>have a wonderful day!!</em>
Answer:
Approximately 143
Step-by-step explanation:
The fraction that is women is 19/(19 + 81). Multiply the total number (750) by this fraction, and get the total number of women.
Answer:
y = -2/3x - 2
Step-by-step explanation:
Parallel lines have the same slope so slope = -2/3
Given (-3,0)
Slope-intercept: y = mx + b
0 = -2/3(-3) + b
0 = 2 + b
b = -2
then y = -2/3x - 2
