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3 years ago

Based on the given information, determine which sides of quadrilateral ABCD must be parallel.

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

Answer: The answer is A

Step-by-step explanation:I say that because if you think about it, the two 72 degree angles and 108 angles are the same to each other. Make a parallelogram and label A B C D along with the numbers for each and you'll see that line AB is parallel to line DC. Kind of a common sense question I guess. Hope this helps!

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These figures are similar. The area of one is given. Find the area of the other.

Goshia [24]

Answer:

12 square inches

Step-by-step explanation:

It is half the size cuz the one side is 6 in on one and on the other it is 3 in

8 0

3 years ago

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6) B(6,5) C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

Solution:

By using distance formula we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

So AB|| DC i.e AB=DC

And AC|| BD i.e BD=AC

Hence I.e Dist(AB)=Dist(DC)

Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .

(Refer the attachment)

Now

Distance of AD=Sqrt[(2-3)^2+(2-6)^2]

=Sqrt[1+16]

=4.123

Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]

=Sqrt[9+1]

=3.16

ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)

Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

here a=4.123 units and b=3.16 units and Ф=90

Area of parallelogram=3.167*4.123*sin90

=3.167*4.123

=13.05 sq. units

3 0

3 years ago

Read 2 more answers

What is the equation of a line which includes points (-5, 5) and (2, 5)?

sveta [45]

<h2>Hello!</h2>

The answer is:

The equation of the line which includes the points (-5,5) and (2,5) is:

$y=5$

To find the line which includes the points (-5,5) and (2,5) we can use the following equation:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}*(x-x_1)$

So, using the points (-5,5) and (2,5), we have:

$y-5=\frac{5-5}{2-(-5)}*(x-(-5))$

$y-5=\frac{0}{2+5}*(x-(-5))$

$y-5=0*(x+5)$

$y-5=0$

$y=5$

We have that the equation of the line which includes the points (-5,5) and (2,5) is:

$y=5$

Have a nice day!

Note: I have attached a picture for better understanding.

8 0

3 years ago

a child should no longer play in the kid zone area when they reach 4'4" tall joe is 54" tall is he allowed to play in the kid zo

Andreyy89

Answer: No.

Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.

6 0

4 years ago

During unusually cold weather, the temperature in Miami beach was 10 degrees Celsius. This was 12 degrees more than in Tallahass

saw5 [17]

Answer:

-2 degrees C

Step-by-step explanation:

+ 10 degrees less 12 degrees comes out to -2 degrees (Celsius) in Tallahassee.

4 0

4 years ago

Read 2 more answers