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3 years ago

15

A window in the shape of a parallelogram has the dimensions given.

2 answers:

mariarad [96]3 years ago

8 0

<h3>Answer: 20 square feet (choice A)</h3>

The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

The height is DE = 4 ft

Area of a parallelogram is base times height. It's effectively the same formula as a rectangle (any rectangle is a parallelogram, but not the other way around).

So,

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

another thing to point out: the info AE = 2 ft isn't used at all. It's probably put in there to distract or to make students try to find AD using the pythagorean theorem. Knowing the length of AD will not help find the area of the parallelogram. Though now that I think about it, you could divide this parallelogram into a rectangle and two triangles. Then find the area of each small piece to add them up to get the final answer. I show what I mean in the attached image below. However, it's much easier to use the formula area = base*height.

Phoenix [80]3 years ago

4 0

Answer:

Actually, it's 20.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that 20 is the correct answer. Have a nice day :)

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Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______

Vesna [10]

Answer:

$c = 11$

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

$a = b= 5$

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

$a + b > c$

$a + c > b$

$b + c > a$

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: $a = b= 5$

$5 + 5 > c$ $===>$ $10 > c$

$5 + c > 5$ $===>$ $c > 5 - 5$ $===>$ $c > 0$

$5 + c > 5$ $===>$ $c > 5 - 5$ $===>$ $c > 0$

The results of the inequality is: $10 > c$ and $c > 0$

Rewrite as: $c > 0$ and $c < 10$

$0 < c < 10$

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

$c = 11$ , since no options are given

8 0

3 years ago

sam thought of a number between ten and twenty then sam gave a clue when you count by twos and when you count by threes but not

tatuchka [14]

Sorry I do not know the answer to that

8 0

3 years ago

your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How man bins do you need?

Serhud [2]

You will need 7 because 150 divided by 20 is 7

7 0

3 years ago

Read 2 more answers

Look at the question below

ss7ja [257]

Answer:

y=6x is the answer

Step-by-step explanation:

6 0

3 years ago

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Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?

Alexxx [7]

Answer:

the unit rate for miles per gallons = $3.95 miles$

Step-by-step explanation:

Let x be the unit rate for miles per gallon.

Given:

Jack drove 43.5 miles. He used 11 gallons of gasoline.

Find the unit rate for miles per gallon?

Jack used 11 gallons of gasoline for 43.5 miles.

11 gallons = 43.5 miles

The unit rate for miles per gallon is

unit rate of gallons = total miles divided by total used gallons of gasoline

$x=\frac{43.5}{11}$

$x=3.95miles$

Therefore, the unit rate for miles per gallons is 3.95 miles.

4 0

3 years ago