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skad [1K]
1 year ago
15

Which expression can be subtracted from the area of the rectangle to find the area of parallelogram rstu? 2 (18 4) one-half (18

4) (18 4) (18 - 4)
Mathematics
1 answer:
madam [21]1 year ago
4 0

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The coordinates of parallelogram RSTU are

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

Learn more about the area:

brainly.com/question/11952845

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12+36+18=66/18=3.6 you can round it up to c.4.
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2 years ago
A rectangle is 4.2 centimetres wide and each diagonal is 8.6 centimetres long. What is the measure of the angle between a diagon
CaHeK987 [17]

Answer:

60.8^\circ

Step-by-step explanation:

First, let's check side lengths.

Using the Pythagorean theorem we can find the length of the other side of the rectangle.

a^2 + b^2 = c^2

4.2^2 + b^2 = 8.6^2

b^2 = 56.32

b = 7.5

The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.

For the angle in question, the 4.2 cm side is the adjacent leg.

The diagonal of 8.6 cm is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

\cos \alpha = \dfrac{adj}{hyp}

\cos \alpha = \dfrac{4.2~cm}{8.6~cm}

\alpha = \cos^{-1} \dfrac{4.2~cm}{8.6~cm}

\alpha = 60.8^\circ

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3 years ago
Write an equation of the form y=kx for the relationship shown in the graph.
jekas [21]

Answer:

28 = 8k

Step-by-step explanation:

(x,y)

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Solve the problem.
dimulka [17.4K]

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Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition D=vt. If we solve for x we got:

x =75 gal (\frac{73 mi}{25 gal}) =219mi

And the best answer would be:

219 mi

Step-by-step explanation:

For this problem we can use the following proportional rule:

\frac{73 mi}{25 gal}= \frac{x}{75 gal}

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition D=vt. If we solve for x we got:

x =75 gal (\frac{73 mi}{25 gal}) =219mi

And the best answer would be:

219 mi

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2 years ago
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