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 expected value for a student to spend on lunch each day = $5.18
Step-by-step explanation:
Given the data:
Number of students______$ spent
2 students______________$10
1 student________________$8
12 students______________$6
23 students______________$5
8 students_______________$4
4 students_______________$3
Sample size, n = 50.
Let's first find the value on each amount spent with the formula:
Therefore,
For $10:
For $8:
l
For $6:
For $5:
For $4:
For $3:
To find the expected value a student spends on lunch each day, let's add all the values together.
Expected value =
$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24
= $5.18
Therefore, the expected value for a student to spend on lunch each day is $5.18
Answer:
The average U.S. citizen throws away about 133.8 pounds of garbage a month.
Step-by-step explanation:
First take the total amount of trash thrown away in a year (1,606), and divide it by the number of months in a year (12).
1,606 / 12 = 133.833333
You would get 133.833333 and would round it to the nearest tenth and get 133.8.
38= Sum
2= GCF of 18 and 20
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Thus the required <u>answers</u> are:
i. Yes, line <em>segment</em> AB is <em>the same</em> as line <u>segment </u>CD.
ii. This implies that <u>translation</u> does not affect the<u> length </u>of a given<u> line,</u> but there is a change in its <em>location</em>.
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Some types of <em>transformation</em> are reflection, translation, dilation, and rotation.
- <u>Dilation</u> is a method that requires either <u>increasing</u> or <u>decreasing</u> the <em>size</em> of a given <u>shape</u>.
- <u>Translation</u> is a process that involves moving <em>every point </em>on the <u>shape</u> in the same <u>direction</u>, and the same <u>unit</u>.
- <u>Reflection</u> is a method that requires <em>flipping</em> a given <u>shape</u> over a given reference<u> point</u> or<u> line.</u>
- <em>Rotation</em> requires <u>turning</u> a given <em>shape</em> at an <u>angle</u> about a given reference <u>point</u>.
Thus in the given question, <u>translation</u> would not affect the <u>length</u> of <em>line</em> <em>segment</em> AB, thus <em>line segment</em> AB and CD are the same. Also, A <u>translated</u> <em>line segment</em> would have the same <u>length</u> as its object, but at another <u>location</u>.
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