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2 years ago

GIVING BRAINLIEST !!!!!!

Mathematics

1 answer:

solniwko [45]2 years ago

3 0

Answer:

Step-by-step explanation:

If we assume that the population of the town is proportional to the random people selected to take the survey, then we can say that the answer is A, People at least 50 years old are the largest age group in town. Since the survey is random and the percentage of the 50-year old population group is higher when individually compared to the other groups, we can assume that the town's population consists of a high number of people who are 50-years old or older.

And although it is not a given answer choice, it would actually make more sense to say that out of the number of people that took the survey, those who were 50 years old or older consisted of the largest age group.

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3 years ago

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

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And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

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2 years ago

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xenn [34]

Answer:

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Step-by-step explanation:

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