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1 year ago

What is the most specific name for the given parallelogram?

Mathematics

1 answer:

tia_tia [17]1 year ago

4 0

<h3>Answer: D) rectangle</h3>

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Explanation:

Since this is a parallelogram, the top and bottom sides are parallel. This in turn means the bottom left angle is 90 degrees. Recall that same side interior angles are supplementary when we have parallel lines. So if x was the bottom left angle, then 90+x = 180 solves to x = 90.

In short, the bottom left corner is a right angle.

Through similar steps, we can prove the other remaining interior angles are also 90 degrees each.

This figure is a <u>rectangle</u> because all four angles are 90 degrees.

We unfortunately don't have any info about the sides, so we don't know if the figure is a square or rhombus. If all four sides were the same length, then we have a rhombus. A figure being a rectangle and a rhombus means that it is also a square.

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Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

<u><em>The question in English is</em></u>

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

$bh=12$ ----> equation A

The base is twice the height

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

3 0

3 years ago

Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply

Nady [450]

Answer:

Select all the lines with slope $-\frac{1}{3}$ .

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

We plug in the coordinates to get:

$m=\frac{4--2}{3-1}=\frac{6}{2}=3$

All lines that are perpendicular to this line has slope $-\frac{1}{3}$ .

3 0

3 years ago

Help me out here guys

kvasek [131]

D.

f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts

similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)

3 0

2 years ago

If f(x) = 3x - 7, then f-1(x)=

fgiga [73]

Answer:

Step-by-step explanation:

so f-1(x) means we are finding the inverse

f(x) = 3x - 7.....change f(x) to y

y = 3x - 7.....now switch ur x and y and solve for y

x = 3y - 7....add 7 to both sides

x + 7 = 3y...divide both sides by 3

(x/3) + 7/3 = y....rearrange

y = (x/3) + 7/3....can also be written as : y = 1/3x + 7

now just change ur y to f-1(x)

f-1(x) = x/3 + 7/3.....or f-1(x) = 1/3x + 7/3

4 0

3 years ago

Read 2 more answers

25 points for my grade

NikAS [45]

Answer:

both share an acute angle

Step-by-step explanation:

8 0

3 years ago