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3 years ago

I don’t know the answer I’m not that smart helpThank you

Mathematics

1 answer:

Stolb23 [73]3 years ago

6 0

Answer:

Step-by-step explanation:

The tiny squares equal to 12 already so it is already greater therefore x=0

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A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more t

Len [333]

P = 2(L + W)
P = 34
L = W + 5

34 = 2(W + 5 + W)
34 = 2(2W + 5)
34 = 4W + 10
34 - 10 = 4W
24 = 4W
24/4 = W
6 = W <==== the width is 6 ft

L = W + 5
L = 6 + 5
L = 11 <==== the length is 11 ft

6 0

3 years ago

Find the volume of this oblique pyramid.

leonid [27]

Cavalieri's Rule tells us that it doesn't matter if the shape is oblique or not, the volume is still found using the regular volume formula. For a pyramid, this formula is V = 1/3 Bh, with B being the area of the base which is a rectangle. The area is 10*12 which is 120, and the height is given as 8. So the volume is V = 1/3 * 120 * 8, which is 320 units cubed.

7 0

3 years ago

Find the area of the shaded region for the given figure in terms of x.

Vlada [557]

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

= (x + 2)(x + 2)

= (x + 2)²

= x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

= (x - 1)²

= x² - 2x + 1

Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)

= 6x + 3

Area of the shaded region = (6x + 3)

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3 years ago

A square pyramid and its net are shown below. What is the surface area of the pyramid?

dusya [7]

Answer:

what’s the answer ?

Step-by-step explanation:

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3 years ago