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The steps to construct a parallelogram using a ruler and a compass are;

1. Draw a starting line segment l linger than 8 cm.

2. Mark point K on the line segment.

3. Widen the compass to a radius of 8 cm using the ruler.

4. Place the compass at point K and with the 8 cm radius mark point L on the line l.

5. At point L construct a 45° angle as follows;

The above steps bisects the 90° angle of the perpendicular lines.

6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.

7. At point M construct a line YM at 45° angle to the line l.

8. From point M draw an arc to intersect YM and label the point as point N.

9. Join point M and N to complete the construction of the parallelogram KLMN.

Learn more about construction using a compass and a ruler here:

https://brainly.com/question/1528158?section=similar

Answer:

23

Step-by-step explanation:

180/15 = 276/x

12 = 276/x

12x = 276

x = 23

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

Answer:

This is not possible with 2 equal symbols

Answer:

Step-by-step explanation:

If the roots of p(x) are a, b, c, then it factors as ...

  p(x) = (x -a)(x -b)(x -c)

and the expanded form is ...

  p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc

The requirement that the coefficients match the roots means we have three equations in three unknowns:

  a = -(a+b+c)

  b = ac +b(a+c)

  c = -abc

The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...

This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:

  x(1 -a -y) -ay = 0   ⇒   (x +1)^2 +y^2 = 1

The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...

  (x, y) = (-2, 0), (-1, -1), (0, 0)   ⇒   (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)

The three polynomials that correspond to these values are shown above and in the attachment.

_____

Additional comment

There is an irrational fourth solution to the requirement that the roots match the coefficients.

Answer:im pretty sure its d

Step-by-step explanation:

Answer:

20m

Step-by-step explanation:

let the length be x and the width be y

x = 4y

2x + 2y = 50

2(4y) + 2y = 50 ( since x = 4y )

8y + 2y = 50

10y = 50

y = 5m

x = 4y

x = 4(5)

x = 20

pls mark me the brainliest

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15

Answer:

$37,396

Step-by-step explanation:

take 2388.5x4 since there are 4 weeks = $9554

then you subtrct since the portfolio fell.

So $46,950-9554 = $37,396

You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.

Step-by-step explanation:

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft

Answer:

The answer is B --> [tex]\frac{x^{2} }{3x^{2} -1}[/tex]

How I got that:

These are really easy, you're simply looking for numbers that you can factor down. Like here:

I took:

[tex]\frac{4x^{2} }{12x^{2} -4}[/tex]

and saw that I could factor out 4 from the denominator:

[tex]\frac{4x^{2} }{4(3x^{2} -1)}[/tex]

and then I canceled out the common factor (4 because its on both sides):

[tex]\frac{x^{2} }{3x^{2} -1}[/tex]

And there ya go!

~That's All Folks~

-Siascon

Answer: It's B

Step-by-step explanation:          

            22x2  

Simplify   ————————

           12x2 - 4

4.1     Pull out like factors :

  12x2 - 4  =   4 • (3x2 - 1)

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

Answer:

Step-by-step explanation:

The median is the line segment connecting the vertex with the midpoint of the opposite side.

The midpoint has coordinates:

Use the distance formula to find the distance between points (2, 7) and (1, 2):

Step-by-step explanation:

the formula for the length of a median based on the 3 side lengths is

m = sqrt(2AB² + 2AC² - BC²)/2

where BC is the side opposite of the indicated vertex.

let's say

A = (2, 7)

B = (-3, 3)

C = (5, 1)

AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41

AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45

BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68

m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =

= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =

= 5.099019514...

The answer is 17, Volume = h × π×r^2

Divide by known height from both sides

Divide by pi

square root

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

Answer:

(x+3)(x^2+2x-2)

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

Answer:

hi

Step-by-step explanation:

Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as

shown below in figure.

The force which causes motion is ?

Answer:

a) 1 04.

b) 160 * 0.94.

Step-by-step explanation:

b) We multiply by 1 - 0.06 = 0.94.

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

Answer:

there are 6.45 or 6.5 square cm in one square inch

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets

Answer:

the answer is 16 please make me brainliest :> thx uuu

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

The vertical asymptotes of the function are 3 and 6

Given the function

[tex]\frac{x+6}{x^2-9x+18}[/tex]

The vertical asymptotes of the function occur at the point where the denominator is zero.

Equate the denominator to zero.

x^2 - 9x + 18 = 0

Factorize the quadratic expression:

x^2 - 3x - 6x + 18 =0

x(x-3)-6(x-3) = 0

(x-3)(x-6) = 0

x - 3 = 0 and x - 6 = 0

x = 3 and 6

Hence the vertical asymptotes of the function are 3 and 6

Learn more on vertical asymptotes here: https://brainly.com/question/21678319