The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.
A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.
In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.
We are asked what shape is formed.
From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.
Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.
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Answer: When a solid can be mapped onto itself by a reflection in a plane, it has reflectional symmetry.
Step-by-step explanation:
Answer:
Height = 20, Base = 6
Step-by-step explanation:
The area of a triangle is 
where b is the base and h is the height
We can factor by grouping
Length can only be positive, so we know that the base is 6 in
The height must be 2 + 3(6) = 20
Height = 20, Base = 6
Answer:
Her uncle's age = 47 years
Step-by-step explanation:
Sophia = 12 years old
Her Uncle Reynald tells her that if she adds 5 to her age,
= 12 + 5
multiplies the sum by 3
= (12 + 5) × 3
and then subtracts 4 from the product
= {(12 + 5) × 3} - 4
she will find his age
{(12 + 5) × 3} - 4
= (17 × 3) - 4
= 51 - 4
= 47
Her uncle's age = 47 years
Sophia wrote:
12 + 5 × 3 − 4
Using PEMDAS
P - product
E - exponent
M - multiplication
D - division
A - addition
S - subtraction
Sophia's expression can be written as = 12+(5*3)-4
= (12 + 15) - 4
= 27 - 4
= 23
Sophia's expression is wrong
