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3 years ago

Which of the following are properties of parallelograms?

Mathematics

2 answers:

yan [13]3 years ago

8 0

Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

D Both pairs of opposite sides are congruent.

B Both pairs of opposite of angles are congruent.

A One pair of parallel sides.

Hope I helped! Hope you make an 100%

-Amelia♥

kobusy [5.1K]3 years ago

5 0

Answer:

maybe A? B, D, E

Give brainlest if u agree :)

Step-by-step explanation:

A - Parrallelgrams do indeed have 1 pair of parrlell sides, but are not limited to 1. They in fact have 2 sides. If ur instructor is super literal i would put A, if not then technically a parallelogram has 2 pairs of parrallel sides.

B - True. opposite pairs have the same measure of radians

C - Not true because of B

D - True, sides are same length

E - True, consecutive angles add to 180

Source: https://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms

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May someone help me with this?

lozanna [386]

Segment WT and DG are congruent which means that the shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

5 0

3 years ago

The area of a rectangular playground is 16 square yards. The length of the playground is 4 times longer than

Alexxandr [17]

length = 8 yd and width = 2 yd

So, Option D is correct.

Step-by-step explanation:

Area of rectangular playground = 16 square yards

Width of playground = w

Length of playground = l = 4w

We need to find length(l) and width(w)

The formula used is:

$Area = Length * Width$

Putting values:

$Area = Length * Width\\16=4w*w\\16=4w^2\\w^2=\frac{16}{4}\\w^2=4\\Taking\,\,square\,\,root:\\\sqrt{w^2}=\sqrt{4}\\ w=\pm 2$

Since width of rectangle is always positive, so we will take w = 2

So. Width = 2

Length = 4w = 4(2) = 8

Hence, length = 8 yd and width = 2 yd

So, Option D is correct.

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

3 0

3 years ago

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon, rounded to the ne

Lerok [7]

Answer:

$332in^2$

Step-by-step explanation:

The area of a regular polygon is calculated using the formula;

$Area=\frac{1}{2}ap$

where $a$ is the apothem and p is the perimeter.

It was given that, the apothem is, $a=10in.$ and the perimeter is $p=66.3 in.$

We substitute into the formula to obtain;

$Area=\frac{1}{2}\times10\times66.3in^2$

$Area=331.5in^2$

To the nearest square inch, we have;

$Area=332in^2$

4 0

3 years ago

Read 2 more answers

Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest

hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0

3 years ago

Math 201 Statistics week 6 discussion board?

rjkz [21]

Answer: ??? What

Explanation: what’s the question??

7 0

3 years ago