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solmaris [256]
3 years ago
15

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

Mathematics
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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Answer:

x = 7

Step-by-step explanation:

The equation of a vertical line has equation of the form

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (7, - 3) with x- coordinate 7 , thus

x = 7 ← equation of vertical line

3 0
3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Marat540 [252]

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

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Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

6 0
3 years ago
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos
meriva

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

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7 0
3 years ago
What is the slope in the table below
eduard

Answer:

<h2>The table does not show a linear function</h2>

Step-by-step explanation:

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we have:}\\\\(5,\ 24),\ (10,\ 21),\ (15,\ 17),\ (20,\ 13)\\\\\text{Check}\\\\\dfrac{21-24}{10-5}=\dfrac{-3}{5}=-\dfrac{3}{5}\\\\\dfrac{17-21}{15-10}=\dfrac{-4}{5}=-\dfrac{4}{5}\\\\-\dfrac{3}{5}\neq-\dfrac{4}{5}

3 0
3 years ago
Please don’t just comment for points
masha68 [24]
1. no because 2x+10 is not equal to 2x+7
2. no. you cant add una like terms so 4x+4 doesn’t equal 8x
3. yes. the terms still retain their same value although they are not in the same order
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7 0
3 years ago
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