Statement 3 and 4 are true as Figures 1 and 2 are not congruent and Figures 1 and 3 are not congruent
<h3>What are Congruent Figures ?</h3>
The figures that are similar in shape and size or can be mapped into one another , such figures are called Congruent Figures.
The graph has been plotted on the basis of given data.
The plot can be seen in the graph attached with the answer.
The statements that are true according to the given data is
Statement 3 and 4 are true as
Figures 1 and 2 are not congruent because figure 1 cannot be mapped onto figure 2 using a sequence of rigid transformations.
Figures 1 and 3 are not congruent because figure 1 cannot be mapped onto figure 3 using a sequence of rigid transformations.
To know more about Congruent Figures
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Answer:
12 - (⅛)π cm²
Step-by-step explanation:
Rectangle + circle - semicircle
(4 × 3) + (pi × 1²) - ½(pi × 1.5²)
12 + pi(1 - 9/8)
12 - (⅛)π
To answer this item, let us convert first one of the given dimension such that both numbers will take only the same units for easier comparison. It should be noted that every liter (L) is consists of 1000 mL.
Aria: (500 mL)(1 L/1000 mL) = 0.5 L
Andrea: 0.75 L
Since, 0.75 L is higher compared to 0.5L, the answer to the item is Andrea.
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
