Answer:
7.71 inches far from each edge of the wall you should place the shelf.
Step-by-step explanation:
Given:

Let,
AB = distance between the edges or distance of wall.
ED = size of the shelf.
C is the centre of the wall.
To Find:
Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.
AE = DB = ?
Solution:
As we need to place the shelf exactly in the center.
First we will calculate the distance from the center of the wall to the edge.
So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.

now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.

Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.

Therefore, 7.71 inches far from each edge of the wall you should place the shelf.
Answer:
x = 129
Step-by-step explanation:
x = 129 because of alternate interior angles
The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.
To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.
Answer:
D. y = 4x + 9
Step-by-step explanation:
a line that passes through the point (-2, 1) and has a slope of 4
y = 4x + b
b = y - 4x
b = 1 - 4(-2)
b = 1 + 8
b = 9
So equation
y = 4x + 9
7+7+3+3= 20
The answer would be
The perimeter of the fabric she cut out would be 20 cm.