Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
<span>10=z/2+7
Subtracat 7 from both sides
3=z/2
Multiply 2 on both sides
Final Answer: 6 = z</span>
By applying the segment addition postulate, the <u>value of v = 7</u>
- According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:
DC + CE = DE
- Therefore, by substitution, we will have the following equation:
- Open the bracket and solve for the value of v.
v = 10
Therefore, using the segment addition postulate, the <u>value of v = 10</u>
Learn more about the segment addition postulate here:
brainly.com/question/1721582
Answer:
Step-by-step explanation:
3(2x + 7) - 2 (x + 5)
need to distibute
5x+10-2x+3
combine like terms
3x+13
divide
x=4.3
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
