Perimeter is the sum of all sides of a two-dimensional shape. Therefore, we can construct the following equation to find the value of X:
2x + 4 + 2x + 2 = x + 7 + x + 3 + x + 9
4x + 6 = 3x + 19
4x - 3x = 19 - 6
x = 13
If the perimeter of these shapes is the same, whatever which of them we use for calculating we will find the same result.
Rectangle:
13 + 2 + 13 + 2 + 13 + 1 + 13 + 1 = 58
Or
Triangle:
13 + 7 + 13 + 3 + 13 + 9 = 58
The perimeter is 58.
Answer:
y = -2x + 8
Step-by-step explanation:
In this question, you have to solve for "y".
Solve:
2y + 4x = 16
Get "y" by itself by subtracting 4x from both sides.
2y = -4x + 16
Simplify by dividing both sides by 2.
y = -2x + 8
To evaluate the series we proceed as follows:
2. -5,-15,-25,-35,-45
The common difference is (-15--5)=-10
thus the series is an arithmetic sequence hence the explicit formula will be:
an=a+(n-1)d
thus the formula for the series is:
an=-5+(n-1)(-10)
an=-10n+5
4. 0.5, 0.25,0,...,-0.75
The common difference =0.25-0.5=-0.25
The sequence is an arithmetic sequence:
the explicit formula will be:
an=0.5-0.25(n-1)
an=-0.25n+0.75
thus
n=4
a4=-0.25*4+0.75=-0.25
when n=5
a5=-0.25*5+0.75=-0.5
when n=6
a6=-0.25*6+0.75=-0.75
the missing values are -0.25 and -0.5
6] 4.5,5.6,6.7, ....,11.1
common difference=5.6-4.5=1.1
the sequence is an arithmetic sequence
The explicit formula is:
an=4.5+1.1(n-1)
an=1.1n+3.4
when n=4
an=1.1*4+3.4
a4=7.8
when n=5
a5=1.1*5+3.4
a5=8.9
a6=1.1*6+3.4
a6=10
the missing values are: 7.8, 8.9, 10
Answer:
1.sir de Benville
2. Thomas Dale
3. James Oglethorpe
4. Sir Thomas Hoocker
5. John Rolfe
6. Lord Baltimore
7. Squanto and samosas
8. William Bradford
9. Pilgrims
10.Sir Walter Raleigh
Step-by-step explanation:
1. Founded New Orleans: sir de Benville
2. Governor of Jamestown, gave land to the men: Thomas Dale
3. Began the colony of Georgia: James Oglethorpe
4. led colonists to Connecticut, founded Hartford: Thomas hoocker
5. Successfully planted and cured tobacco: John Rolfe
6. Began the colony of Maryland of the catholics: Lord Baltimore
7. Native Americans who help the settlers at Plymouth: Squanto and samosas
8. learder of the Plymouth colony: William Bradford
9. Separatist who founded the Plymouth colony: Pilgrims
10. Planned and supported the Roanoke island settlement: Sir Walter Raleigh
So you can just look it up but here it is all together
the only one I had to improves was lord Baltimore I couldn’t find it but he was the only one person who was left so yeah
Answer:
A. 228.5
B. 10
Step-by-step explanation:
A. Since <em>x</em> represents the number of months, replace <em>x</em> with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.
B. You need to solve for <em>x</em> by switching the signs in the equation<em>. </em>Set the original equation (29x+54.5) equal to 344.50. To solve for <em>x, </em>first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing <em>x</em> in the original equation with 10, and if you get 344.5, your answer is correct.
Good luck :)
