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1 year ago

A quadrilateral has vertices A(4, 5), B(2, 4), Q4, 3), and D(6, 4). Which statement about the quadrilateral is true?

Mathematics

1 answer:

Igoryamba1 year ago

7 0

The true statement about the quadrilateral is ABCD is a rhombus with non-perpendicular adjacent sides.

<h3>How to determine the true statement?</h3>

The coordinates are given as:

A(4, 5), B(2, 4), Q4, 3), and D(6, 4).

Next, we plot the graph of the quadrilateral ABCD

See attachment

From the attached graph, we have the following highlights:

Opposite sides are equal
Opposite sides are parallel
Adjacent sides are not perpendicular

This means that the quadrilateral is ABCD is a rhombus

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Find the number of the different ways, for 3 students to sit on 7 seats in one row.

qwelly [4]

Answer:

210

Step-by-step explanation:

Here comes the problem from Combination.

We are being asked to find the number of ways out in which 3 students may sit on 7 seats in a row. Please see that in this case the even can not be repeated.

Let us start with the student one. For him all the 7 seats are available to sit. Hence number of ways for him to sit = 7

Let us see the student second. For him there are only 6 seats available to sit as one seat has already been occupied. Hence number of ways for him to sit = 6

Let us see the student third. For him there are only 5 seats available to sit as two seat has already been occupied. Hence number of ways for him to sit = 5

Hence the total number of ways for three students to be seated will be

7 x 6 x 5

=210

3 0

3 years ago

Read 2 more answers

In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.

faust18 [17]

Answer: D

Step-by-step explanation:

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer

3 0

3 years ago

A circle centered at (-2,3) and contains point (5,9) which represents the equation

SIZIF [17.4K]

The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.

8 0

3 years ago

Name the smallest even number divisible by 6 and 9.

Step2247 [10]

Answer:

Step-by-step explanation:

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2 years ago

The Nielsen Media Research Company uses people meters to record the viewing habits of about 5000 households, and today those met

expeople1 [14]

Answer:

Cross-sectional study.

Step-by-step explanation:

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- In a prospective (or longitudinal) study, data are collected in the future from

groups sharing common factors.

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back in tirme (through exanmination of records, interviews, arıd so on).

Hope this Helps!!

4 0

3 years ago