The reflection of BC over I is shown below.
<h3>
What is reflection?</h3>
- A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
- A figure's mirror image in the axis or plane of reflection is its image by reflection.
See the attached figure for a better explanation:
1. By the unique line postulate, you can draw only one line segment: BC
- Since only one line can be drawn between two distinct points.
2. Using the definition of reflection, reflect BC over l.
- To find the line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and A is the image of B.
- Definition of reflection says the figure about a line is transformed to form the mirror image.
- Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.
4. Since reflections preserve length, AC = BC
- In Reflection the figure is transformed to form a mirror image.
- Hence the length will be preserved in case of reflection.
Therefore, the reflection of BC over I is shown.
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The question you are looking for is here:
C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.
Answer:
12
Step-by-step explanation:
(10/y + 13) -3
Let y=5
(10/5 + 13) -3
PEMDAS says parentheses first
(2 +13) -3
15 -3
12
If the total volume of the ice cream exceeds the internal volume of the cone, then it will overflow.
Volume of icecream = 4/3 * pi * r^3 = 4/3*pi*(1)^3 = 4.189 cu. in.Volume of cone = 1/3 * pi * r^2 * h = 1/3*pi*(1)^2*5 = 5.236 cu. in.
Since Volume of cone > Volume of icecream, the cone will not overflow.
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Answer:
Quedan 153 sillas
Step-by-step explanation:
Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.
Entonces, originalmente, el número total de sillas es 7 veces 23:
S = 7*23 = 161
Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:
S = 161 - 8 = 153
Quedan 153 sillas