The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
<h3>What is a line of symmetry?</h3>
It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.
We have given a figure in the picture.
The figure is a quadrilateral(a kite)
As we know, lines of symmetry make exactly two halves with similar shapes and sizes.
IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.
Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
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Answer:
The probability that a customer’s order will not be met during a month is 1.67.
Step-by-step explanation:
Given : A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.
To find : What is the probability that a customer’s order will not be met during a month?
Solution :
Average Mean 
Sample Mean 
Standard deviation 
The formula is given by,
Substitute the value in the formula,
The probability that a customer’s order will not be met during a month is 1.67.
The amount of rim needed for each window is 141.4 in
<h3>How to find the length of the outer rim?</h3>
Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
<h3>What is an arc?</h3>
An arc is part of section of the circumference of a circle
<h3>What is the length of an arc?</h3>
So, length of arc, L = Ф/360 × 2πR where
- Ф = central angle of arc and
- R = radius of circle.
Gven that for the window rim
- Ф = angle of the rim = 270° and
- R = radius of the rim = 30 in
Substituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
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1*y+3*x=120
y=x+12
(x+12)+3x=120
x= 27 he made 27 field goals and 39 extra point kicks<span />
3,648 (three thousand six hundred fourty eight) pieces of candy!
