Answer:
The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.
Step-by-step explanation:
Consider the diagram below.
The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.
It is provided that the rectangular garden is enclosed by 60 feet of fencing on three sides.
That is,
AB + CB + CD = 60 ft.
⇒ x + CB + CD = 60 ft.
Then the length, in feet, of the side of the garden that is against the wall is:
x + CB + CD = 60 ft.
⇒ CB = (60 - x - CD) ft.
3. x: 180-99 = 81º (angles on a straight line equals 180)
y: 115-81 = 34º (exterior angle is sum of opposite interior angles)
4. y: 180-64 = 116 (angles on a straight line equals 180)
x: 126º
two steps
angles on straight line equals 180: 180-118 = 62º
exterior angle is sum of opposite interior angles: 62+64 = 126º
sorry if i misread any of the numbers, let me know if i did and i'll fix it
Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
The values coming in the interval (-3,1] are -2, -1, 0, and 1.
<h3>What is defined as the term interval notations?</h3>
- An interval is represented on a number line using interval notation. In all other sayings, it is a method of writing real number line subsets.
- An interval is made up of numbers that fall between two specific data set.
- Intervals can be categorized according to the numbers in the set.
- Interval Open: The endpoints of a inequality are not included in this type of interval.
- Interval Closure; The endpoints of a inequality are included in this type of interval.
- Interval with Half-Open Doors: This interval contains only one of inequality's endpoints.
The given interval notation is;
(-3,1], it is the case of half open half close.
-3 comes with the open interval, it means its value will not be included in the interval.
1 is with the closed interval, it means its value will be included in the interval.
Thus, the values lying between the interval (-3, 1] are -2, -1, 0, and 1.
To know more about the interval notations, here
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