Select ALL the true statements
a. Two squares with the same side lengths are always congruent.
b. Two rectangles with the same side lengths are always congruent.
c. Two rhombuses with the same side lengths are always congruent.
d. Two parallelograms with the same side lengths are always congruent.

Answer:

Line p will have a slope of 1/2

Step-by-step explanation:

The slope of line k is

m = ( y2-y1)/(x2-x1)

    = ( 9 -15)/(-4 -8)

   = -6/-12

   = 1/2

If the lines are parallel, they have the same slope

Line p will have a slope of 1/2

Step-by-step explanation:

We can find the slope of a line through the formula

[tex]\frac{y1 - y2}{x1-x2}[/tex]

Where x1 and y1 are the coordinates of the first point, and x2 and y2 are the coordinates of the second point.

So we substitute the values we are given into this formula:

[tex]\frac{15-9}{8-(-4)}[/tex]

and simplify:

[tex]\frac{6}{12}[/tex]

and simplify again:

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

And so the slope of line k is 1/2x.  Since line p is parallel to line k, the slope of line p is also 1/2x.

Answer:

y + 5 = 2(x - 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (3, -5)

Slope m = 2

Step 2: Write equation

Substitute in variables into the general form.

y + 5 = 2(x - 3)

Answer:

81 cm is 0.81 metre

12 tonne is 12000 kg

Volume of a cube is a^3

V=0.531441

D=M/V

=12000/0.531441

Density is 22580.11708 kg per m cube

Step-by-step explanation:

Answer:

Answer: h = - 19.4

Step-by-step explanation:

h + 9.7 = - 9.7

h + 9.7 - 9.7 = - 9.7 - 9.7

h = - 19.4

Answer:

250,000

Step-by-step explanation:

the equation of this arithmetic sequence is 1 + 2n

1 + 2n = 999

2n = 998

n  = 499

[tex]\mathrm{\sum _{n=0}^{499}1+2n}[/tex] = 250,000

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

Answer:

A=3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is an isosceles right triangle, a special triangle where if hypothenuse is x,the legs are a/sqrt2

c=6

a=6/[tex]\sqrt{2}[/tex]=3[tex]\sqrt{2}[/tex]

Answer: 12

Step-by-step explanation:

See below

Step-by-step explanation:

[tex]A = {9}^{2} = 81 \\ \\ A = {12}^{2} = 144 \\ \\ x = \sqrt{81 + 144} \\ \\ = \sqrt{225} \\ \\ = 15\\\\A = {15}^{2} = 225 [/tex]

Answer: x = 12

Step-by-step explanation:

(180 - 130) + (3x - 6) + (8x + 4) = 180

180 - 130 + 3x - 6 + 8x + 4 = 180

48 + 11x = 180

48 + 11x - 48 = 180 - 48

11x = 132

11x ÷ 11 = 132 ÷ 11

x = 12

The required value of variable "x" is 12 which is determined by the property of interior angles.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

We know that the linear pair of angles are adjacent angles the sum of their measures is 180°

Since the sum of all interior angles of the triangle = 180°

(180 - 130) + (3x - 6) + (8x + 4) = 180

180 - 130 + 3x - 6 + 8x + 4 = 180

Rearrange the terms of  variable "x" and combine them,

48 + 11x = 180

48 + 11x - 48 = 180 - 48

11x = 132

x = 132/11

x = 12

Therefore, the required value of variable "x" is 12.

Learn more about the triangles here:

https://brainly.com/question/17997149

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Answer:Takeyour time

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

uv

We know these triangles are congruent with the missing side, N would be equal to 15.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We know these triangles are congruent.

To find the missing side, N

ΔABC ≅ΔQRS

AC/QS = BC/RS

2/5 = 6/n

n = 6 x 5/2

n = 30/2

n = 15

Thus, the value of N is 15.

Learn more about triangles;

https://brainly.com/question/2773823

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Answer:

a)14.75

b)7.96

c)0.94*1+7.96

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it right oon plato

Answer:

it should be y= 5x + 5 or y= 15x + 5

Step-by-step explanation:

I had something similar like a week ago and I am 100% its one of those

Answer:

y =2

then u should put 2 in y = 3x -2 or y = -3x + 4

= y =3x - 2

= 2 = 3x - 2

= 2 + 2 = 3x

= 4 = 3x

=x = 4/3

Answer:

A

Step-by-step explanation:

Answer:

B.

hope it helps...........

Answer:

MQ = 16 units

Step-by-step explanation:

[tex]\frac{x}{14}[/tex] = [tex]\frac{9}{63}[/tex]

x = [tex]\frac{14*9}{63}[/tex] = 2

MQ = 14 + 2 = 16 units

Answer:

6

Step-by-step explanation:

You can memorize these for the smaller shapes

for equilateral polygons:

triangle: 60

square: 90

pentagon: 108

hexagon: 120

Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.

So the measure of each angle on average would be (s-2)*180/s.

There (s-2)*180/s = 120

180(s-2) = 120s

180s-360 = 120s

60s = 360

s = 6

Answer:

62% and 64%

Step-by-step explanation:

no computer access = 21 + 165 = 186/300 = 0.616 = 62%

no email access = 27 + 165 = 192/300 = 0.64 = 64%

Answer:

(a)  62%

(b)  64%

Step-by-step explanation:

To find the answer to part "a" you need to divide the total number of shoppers without computer access at home by the total number of shoppers (300).

186/300 = 0.616 = 0.62

0.62 is equivalent to 62%

To find the answer to part "b" you need to divide the total number of shoppers without an email account (Regardless of computer access) by the total number of shoppers (300).

192/300 = 0.64

0.64 is equivalent to 64%.

I hope this helps!

Answer:

6x

Step-by-step explanation:

Answer:

4x+2x= 6x

Step-by-step explanation:

When combining like terms you add the numbers with the same variable your answer is 6x

9514 1404 393

Answer:

  [tex]225a^{10}[/tex]

Step-by-step explanation:

The rules of exponents apply:

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

  [tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]

9514 1404 393

Answer:

  12.8 light-years

Step-by-step explanation:

Multiply the distance by the conversion factor.

  (1.208×10^14 km) × (1 light-year)/(9.461×10^12 km)

  = (1.208/9.461)×10^(14-12) light-year ≈ 12.8 light-year

_____

Additional comment

The term "standard form" in this context is somewhat ambiguous. In some parts of the world, "standard form" is "scientific notation." In that form, the distance is 1.28×10^1 light years.

Answer:

35.79 minus 3 b

Step-by-step explanation:

Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79.

Let the number of barrettes be represented by b

She purchases 3 barrettes

Hence = 3 × b = 3b

Hence, the expression that models her purchase is given as:

$35.79 - 3b

Answer:

35.79-3b

Step-by-step explanation:

The value of the gift card 35.75 minus the cost of 3 barrettes (3b).

so 3b stands for 3 barrettes.