which one of the following is always correct for a rhombus?

A. only adjacent sides have equal length and opposite sides are NOT parallel

B. All sides have equal length and opposite sides are NOT parallel

C. only opposite sides have equal length and opposite sides are parallel

D. all sides have equal length and opposite sides are parallel

Answer:

Yes

Step-by-step explanation:

To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.

3x + y = 6:

3x - y = 6:

Therefore, the answer is yes, it does work as a solution.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

f^-1(x) = ( x + -1 )³

Step-by-step explanation:

f(x) = ∛x + 1

y  = ∛x + 1

we have to make x the subject to find the inverse

y  = ∛x + 1

y - 1 = ∛x

( y - 1 )³ = x

so Inverse: f^-1(x) = ( x + -1 )³

Answer:

-6(y-z)=-6y+6z

Hope This Helps!!!

Answer:

-6y +6z

Step-by-step explanation:

-6(y-z)=

Distribute by multiplying the -6 to each term in the parentheses

-6*y -6 *(-z)

-6y +6z

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: 11:30 \: p.m }}}}}}}}[/tex]

Step-by-step explanation:

The given question is to find 2 hours before 1:30 a.m.

The a.m or 'ante meridiem' & p.m or 'post meridiem'. is used in the 12 hour clock system which is a system where the 24-hours in a day is divided into 2 equal parts → a.m & p.m.

The time after 12 midnight till 12 noon is included in a.m. while the time from 12 noon to 12 midnight is included in p.m.

So, 2 hours before 1:30 a.m,

This happened because, it's under the 12-hour system so, the numbers range from 1 - 12 . Since, 1:30 a.m comes somewhat towards the beginning, we have to go back 2 hours & that's 11:30 p.m.

_________

Hope it helps!

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[tex]\mathfrak{Lucazz}[/tex]

Answer:

Value in 2015 will be $ 143,000

Step-by-step explanation:

Data :

Value in 2010 = $ 110000

Increase rate = 6%

6% of  110000  =  (11000×6)÷100 =  6600

6600 × 5 = 33000

So add up    

   110000 + 33000 = 143,000

Mark brainliest if you understand

The length of the square paving is the base unit to which the area of the

and patio and the border are evaluated.

Correct response:

Let s represent the size of the square paving, we have;

Area of the patio = s·x × s·y = s²·x·y

New area = (2·s + s·x) × (2·s + s·y) = 4·s² + 2·s²·y + 2·x·s² + s²·x·y

Area of the border = 4·s² + 2·s²·y + 2·x·s² = s²·x·y

2·s²·(2 + y + x) = s²·x·y

2·(2 + y + x) = x·y

4 + 2·y + 2·x = x·y

x·y - 2·x = 4 + 2·y

x·(y - 2) = 4 + 2·y

Which by using  gives;

[tex]x = \mathbf{ \dfrac{4 + 2 \cdot y }{y- 2}}[/tex]

By graphing the above equation on MS Excel, we have the following

possible values of x, and y combination; (10, 3) (6, 4), (4, 6), (3, 10).

Therefore;

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Answer:

36

Step-by-step explanation:

Let's split [tex]1\frac{1}{3}[/tex] of that number

Of means multiply

That number is referring to 27

Solve [tex]1\frac{1}{3} *27[/tex]

[tex]1\frac{1}{3} *27[/tex] = 36

Ms. Mowrey gave out 36 As this trimester.

Hope this helps :)

Have a nice day!

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}[/tex]

[tex]3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t[/tex]

It will take approximately 9.55 years (rounded to the nearest year) for the money to triple.

Here, we have,

To determine how long it will take for the money to triple, we need to use the continuous compound interest formula:

A = P *[tex]e^{rt}[/tex],

where:

A = final amount (triple the initial amount)

P = principal amount (initial deposit)

e = Euler's number (approximately 2.71828)

r = interest rate

t = time (in years)

In this case, we have:

P = $7550

r = 7.25% = 0.0725 (converted to decimal)

A = 3P (triple the initial amount)

Substituting these values into the formula, we have:

3P = P *[tex]e^{rt}[/tex]

Dividing both sides of the equation by P, we get:

3 = [tex]e^{rt}[/tex]

To isolate the variable t, we take the natural logarithm (ln) of both sides:

ln(3) = ln[tex]e^{rt}[/tex]

Using the logarithmic property that ln(eˣ) = x, we have:

ln(3) = rt * ln(e)

Since ln(e) = 1, the equation simplifies to:

ln(3) = rt

Now, we can solve for t by dividing both sides by r:

t = ln(3) / r

Substituting the values:

t = ln(3) / 0.0725

Using a calculator or software, we find:

t ≈ 9.55 years (rounded to two decit will take approximately 9.55 years (rounded to the nearest year) for the money to triple. deimal places)

Therefore, it will take approximately 9.55 years (rounded to the nearest year) for the money to triple.

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Answer:

  (a) 7.1

  (b) (5/2, 3/2)

  (c) 2

  (d) y = -x +4

Step-by-step explanation:

The length of AC is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -(-2))² +(-1 -0)²) = √(49 +1) = 5√2 ≈ 7.1

The length of AC is about 7.1.

__

The midpoint has coordinates that are the average of the end point coordinates.

  midpoint BC = (B + C)/2 = ((0, 4) +(5, -1))/2 = (5, 3)/2

  midpoint BC = (5/2, 3/2)

__

The slope is found using the slope formula.

  m = (y2 -y1)/(x2 -x1)

For points A(-2, 0) and B(0, 4), the slope of the segment between them is ...

  m = (4 -0)/(0 -(-2)) = 4/2 = 2

The slope of AB is 2.

__

The slope of line BC is found in the same was as for AB.

  m = (-1 -4)/(5 -0) = -5/5 = -1

The y-intercept of the line is point B, at y=4. So, the equation of line BC is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

  y = -x +4

Answer:The answer is 60.90 I took te 2.03 math quiz and got 100 first A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.

What percent of the theater group is also in the photography club?

Enter your answer in the box. 60,  next questionA builder wants to increase the size of one of his square patios. The patio measures 16 feet on each side. The builder plans to increase each side of the patio to be 125% of its current measure.

How many square feet larger is the area of the new patio than the area of the current patio?

Responses

144   A manual with 325 pages has 3 pages without pictures.

What percent of the pages in the manual do not have pictures?

Enter your answer, as a decimal rounded to the nearest hundredth of a percent, in the box. 0.92

Step-by-step explanation: all answers

The cost of 2 pair of boots is given by A = $ 60.90

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of 2 pair of boots be A

Now , the cost of pair of boots = 145 % the cost of pair of sneakers

Substituting the values in the equation , we get

The cost of pair of sneakers = $ 21

So , the cost of pair of boots = ( 1.45 ) x 21

The cost of pair of boots = $ 30.45

Now , the cost of 2 pair of boots A = 2 x cost of pair of boots

On simplifying , we get

The cost of 2 pair of boots A = $ 60.90

Hence , the cost of 2 pair of boots is $ 60.90

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Answer:

x = 3 is NOT a solution. See image.

Step-by-step explanation:

If x = 3 was the solution to the given equation, then it will make a true sentence when we put 3 in place of x. It does not. See image.

Answer:

should be xy^4/4

Step-by-step explanation:

next to the last step (x^3(y^3)^4)^1/3

Answer:

  (d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

  y = kx

Dividing by x shows how to find the value of k:

  k = y/x

For the given values of y and x, the value of k is found to be ...

  k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

  y = (1 1/9)x

Answer:

the answer is y=1 1/9x because i took thek12 quiz

Step-by-step explanation:

Step-by-step explanation:

refer the above attachment

Answer:1/5

Step-by-step explanation:

Answer:

1/n^12 or n^-12

Step-by-step explanation:

=n^-10 / n^2

=1/n^10 / n^2

=(1/n^10) *(1/n^2)

=1/n^12

Answer:

the answer is 82

Step-by-step explanation:

add 60+38=98  and subtract it by 180

180-98=82

not good at explaining hope it help

Answer:

10000

Step-by-step explanation:

Answer:

1000

Step-by-step explanation: just add 100 100 times

Answer:

X=2

Step-by-step explanation:

X(5-2)=4x-x

5x-2x=4x-x (then moving everything to one side)

5x-2x-4x+x=0 (5x-4x-x=5x-5x which is 0)

-2x=0

X=2

Answer:

x<= 8  ( Answer  not in the given options)

Step-by-step explanation:

9x <= 9

divide both sides by 9 to get x

9x   <=  72

9           9

x <=  8

Answer:

  x ≈ 263.1

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(70°) = 90/x . . . . use given values

  x = 90/cos(70°) . . . . multiply by x/cos(70°)

  x ≈ 263.1

_____

Additional comment

The mnemonic SOH CAH TOA is intended to remind you of the primary trig relations:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Answer:

y = 2x + 5

Step-by-step explanation:

Consider the format of a line equation, y = mx + b

The slope is represented as the variable 'm.'

Since we already know that the slope is 2, we can input it into the format.

y = 2x + b

Assuming that the point (14, 33) is a point of intersection, we can input these numbers into the equation in order to find the value of b, or the y-intersect.

33 = 2(14) + b

33 = 28 + b

5 = b

Answer:

Step-by-step explanation:

5/1

Answer:500/100

Step-by-step explanation:

Answer:

D is approximately (-2, -1)

Step-by-step explanation:

[tex]{ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}[/tex]

[tex]{ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}[/tex]

Solve the green equation and blue equation simultaneously:

[tex]{ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}[/tex]

Let the co-ordinates of D be (a,b)

[tex]\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}[/tex]

[tex]\\ \tt\hookrightarrow -a-2=2b+4[/tex]

[tex]\\ \tt\hookrightarrow a+2b+6=0\dots(1)[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6[/tex]

[tex]\\ \tt\hookrightarrow 6a-12=b-3[/tex]

[tex]\\ \tt\hookrightarrow 6a-b-9=0\dots(2)[/tex]

Multiplying 2 with eq(2)

[tex]\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)[/tex]

[tex]\\ \tt\hookrightarrow 13a-12=0[/tex]

[tex]\\ \tt\hookrightarrow a=12/13=0.9\to 1[/tex]

[tex]\\ \tt\hookrightarrow 12/13+2b+6=0[/tex]

[tex]\\ \tt\hookrightarrow 90/13=-2b[/tex]

[tex]\\ \tt\hookrightarrow b=-90/26=-3 4\to 3[/tex]

Answer:  D

Step-by-step explanation:

Answer:

x ≈ 33.0

Step-by-step explanation:

The third angle in the triangle is

180° - 70° - 76° = 180° - 146° = 34°

Using the Sine rule in the triangle

[tex]\frac{x}{sin76}[/tex] = [tex]\frac{19}{sin34}[/tex] ( cross- multiply )

x × sin34° = 19 × sin76° ( divide both sides by sin34° )

x = [tex]\frac{19sin76}{sin34}[/tex] ≈ 33.0 ( to the nearest tenth )

Answer:

x=33 (since it says to round it)

Step-by-step explanation:

This is an ASA triangle.

First, we need to find the value of the unlabeled angle, which is simple:

180°-70°-76°=34°  Lets call that angle A

Now we use the law of sines:

x/sinX = a/sinA

x/sin76° = 19/sin34°

Then:

x = (19/sin34°) × sin76°

x = 32.968

Answer:

its c

Step-by-step explanation:

The area of the new garden will be 132ft longer than that of the current garden

The formula for calculating the area of a square is expressed as:

A = L²

If the garden measures 8 feet on each side, then;

A = 8²

A = 64ft²

If the side length is increased by 175%, hence new length will be;

l = 8 + (1.75*8)

A = 14 * 14ft

A = 196 ft²

Difference = 196 - 64

Difference = 132ft

Hence the area of the new garden will be 132ft longer than that of the current garden

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Answer: The new point would be (2,-1)

Step-by-step explanation:

To dilate a point, you simply multiply the scale factor (1/3) by the x- and y-values of the point:

6 x 1/3 = 2

-3 x 1/3 = -1

Therefore, the new point would be (2,-1)

I hope this helps!