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3 years ago

Which ordered pair is a solution of the equation 4x - 2y = 20? *

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

(6,2)

Step-by-step explanation:

Start by plugging in 6 for x and 2 for y

4(6)-2(2) = ?

24-4 = 20

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The diagonals of a rectangle enclose an angle of measure 78 degree

katrin2010 [14]

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1 cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2 = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51° = x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1 cm²

Learn more about the area of rectangle on:

brainly.com/question/25292087

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3 0

1 year ago

A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.

Papessa [141]

Answer:

Step-by-step explanation:

x=1.6w and 2w+2x=34.

Simply substitute for x in the perimeter equation, and solve for w. Now compute x.

7 0

3 years ago

A circle with a radius of 1 unit

oee [108]

Answer:

C= 6.28 A: 3.14

Step-by-step explanation:

Circumference of a circle is 2* pi * r

Based on this, we can subsitute r for 1

2* pi * 1= 2pi which is around 6.28 units

Area of a circle is pi* r* r

Based on this, we can subsitute r for 1

pi* 1* 1= pi= 3.14 units squared

8 0

3 years ago

In the figure, lines l, m, and n are parallel. A classmate says you can use the corollary to the side-splitter theorem to find x

bulgar [2K]

The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem.

If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:

$\frac{M1}{M2} = \frac{N1}{N2}$

However, none of this would help us solve for x using this theorem.

7 0

3 years ago

Help Me Plzzzz and Thank U for ur time.

son4ous [18]

Answer:

Dilation
Reflection
Translation
Rotation
Reflection
Translation

Step-by-step explanation:

<em>Dilation</em>

Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.

The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.

<em>Reflection</em>

Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.

The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.

<em>Rotation</em>

The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.

The center of rotation doesn't go anywhere; it is "invariant".

<em>Translation</em>

Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.

4 0

3 years ago