All categories

3 years ago

Any polygon with two pairs of parallel opposite sides is a parallelogram. true or false?

2 answers:

3 0

This statement is false, it is not true that any polygon with two pairs of parallel opposite sides is considered to be a parallelogram for it is defined opposite than that. That is why the correct answer in the statement above is that it is false.

slamgirl [31]3 years ago

3 0

The given statement is

Any polygon with two pairs of parallel opposite sides is a parallelogram.

A parallelogram have 4 sides and a polygon can have 3,4,5,6,7,8, or any number of sides.

So it is not necessary that if opposite sides are parallel in a polygon than it is a parallelogram .

Therefore the given statement is false .

You might be interested in

QUICK!!!!! Which question is best modeled with a division expression?

hjlf

Answer:

Step-by-step explanation:

$\frac{2}{3.5}$

Which is about .57

7 0

3 years ago

What is the height of the triangular prism below if the volume equals 1,638 cubic millimeters? 65 mm 63 mm 26 mm 28 mm.

sergejj [24]

Answer:

The height of the triangular prism is $26\ mm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the triangular prism is equal to

$V=Bh$

where

B is the area of the triangular base

h is the height of the prism

<em>Find the area of the base B</em>

$B=\frac{1}{2}(7)(18)=63\ mm^{2}$

we have

$V=1,638\ mm^{3}$

$h=x\ mm$

substitute and solve for x

$1,638=(63)x$

$x=1,638/(63)=26\ mm$

6 0

4 years ago

A survey showed that, in one city, 20.7% of the population used

Ne4ueva [31]

Answer:

Step-by-step explanation:

a) 0.5*0.365=18.25%

b) (100%-20,7%-50%)=29.3

5 0

3 years ago

Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

y = 3x + 5

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

$y = 3x + 5$

7 0

3 years ago

You know that y is a normally distributed variable with a variance of 9. You do not know its mean. You collect some data. For ea

Dima020 [189]

Answer:

CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

Step-by-step explanation:

Given that;

Variance σ² = 9

so standard deviation σ = √9 = 3

with 95% confidence interval in each case. thus, The Z value for 95% confidence is Z = 1.96

Null Hypotheses H₀ : μ = 2

Now

a) (8,1,5)

sample mean x" = (8+1+5) / 3 = 14/3 = 4.6666

n = 3

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 4.6666 ± ( 1.96 × 3/√3 )

CI = 4.6666 ± 3.3948

so CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

b) (8,1,5,-4,-8)

sample mean X" = (8 +1 + 5 - 4 - 8) / 5 = 2 / 5 = 0.4

n = 5

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 0.4 ± ( 1.96 × 3/√5 )

CI = 0.4 ± 2.6296

so CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

c) (8,1,5,-4,-8,4,8,5)

sample mean x" = (8 + 1 + 5 - 4 - 8 + 4 + 8 + 5) / 8 = 19 / 8 = 2.375

n = 8

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 2.375 ± ( 1.96 × 3/√8 )

CI = 2.375 ± 2.0788

so CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

8 0

3 years ago