An 8-ft-by-10-ft rug leaves 1 ft of the bedroom floor exposed an all four sides. Find the perimeter of the bedroom floor.

A valid reason is :opposite sides of a parallelogram are equal

Step-by-step explanation:

It is possible to notice that RUTS is a parallelogram where RU=TS and RS = UT.

When you introduce a diagonal RT you form triangles RUT and TSR.

∠URT = ∠STR ----alternate angles

∠UTR=∠SRT------alternate angles

RU║ST and RS║UT

RT=TR -----Common

ΔRUT ≡ ΔTSR by AAS theorem

hence RS=UT matching sides of congruent triangles

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Answer:

opposite sides of a parallelogram are equal

Step-by-step explanation:

got it right on odyssey

Answer:

a) $25,261

b) $25,156

Step-by-step explanation:

I'm sorry but I don't know how to show my work because I just searched up "Car Loan Calulator" :|

So don't put me up for Brainlist

Answer:

Step-by-step explanation:

CH3Cl is polar while CCl4 is non polar.

When we consider whether something is polar or not we have to consider the following:

-Molecular symmetry

-Polar bonds (based on Electronegativity)

-Whether or not all the bonds are equal in magnitude

So for CCl4:

-All of the bonds are equal, in that all the electronegativity differences (delta EN) are the same.

-There are polar bonds as the delta EN between Cl (EN = 3.0) and C (EN=2.5) is 0.5 which means the bond is polar covalent

But when we look at the symmetry of the molecule (by drawing the lewis structure) there are no lone pairs, meaning that the molecule is symmetrical and therefore, it is non polar.

For CH3Cl:

-There are polar bonds here whether between C-H or C-Cl like above, both delta EN are greater than or equal to 0.5

-But, all of the bonds are not equal in strength. Cl (3.0) atoms have much higher electronegativity values than H (2.1) and there for they will "pull" the electrons closer and polarize the molecule. Therefore, the differences in bonds causes this molecule to be asymmetrical, and hence polar.

CH3Cl is polar due to an uneven electron distribution and net dipole moment, due to the different atoms attached. In contrast, CCl4 is nonpolar because it's symmetrical with the dipole moments cancelling out.

The compounds CH3Cl and CCl4 vary in their polarities due to their molecular geometry, leading to different symmetries. CH3Cl has a tetrahedral shape but is polar because of the presence of the electronegative Chlorine atom and three Hydrogen atoms, creating an uneven distribution of electrons and thereby, a net dipole moment. On the other hand, CCl4 is also tetrahedral, but it's nonpolar due to its symmetry. As it has four Chlorine atoms evenly distributed around the Carbon atom, the dipole moments cancel out each other leading to no net dipole moment.

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Answer:

A

Step-by-step explanation:

(3a^4-2a^2+5a-10)-(2a^4+4a^2+5a-2)

a^4-6a^2-8

Answer:

10 and 7

Step-by-step explanation:

10 + 7 = 17

10 - 7 = 3

Answer:

your answer is 10 and 7.

Step-by-step explanation:

because if you add 10 and 7 you get 17. them if you subtract them the answer is 3.

Answer:

9

Step-by-step explanation:

the answer is 9 because 7 goes into 63 evenly 9 times

Answer: $9

Step-by-step explanation:

$63 for 7 people

63 ÷ 7 = 9

So that means that one person gets $9

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

Answer:

Distance between points [tex]P(-12,-2)[/tex] and [tex]Q(3,6)[/tex] is 17 units

Step-by-step explanation:

Given points:

[tex]P(-12,-2)[/tex]

[tex]Q(3,6)[/tex]

To determine the distance between points P and Q.

Steps to be carried out:

1) Plot the points P and Q on graph.

2) Construct a line from P towards right horizontally and a line from Q downwards vertically such that they meet at point [tex]O(3,-2)[/tex]

3) Join PQ thus forming a right triangle POQ.

4) We can find the distance of sides OP and OQ by counting the units between the points.

OP=[tex]|-12-3|=|-15|=15\ units[/tex]

OQ=[tex]|6-(-2)|=|6+2|=8\ units[/tex]

4)Now, we can apply Pythagorean theorem for triangle POQ.

[tex]PQ^2=OP^2+OQ^2[/tex]   [ [tex]Hypotenuse^2=Leg1^2+Leg 2^2[/tex]]

[tex]PQ^2=15^2+8^2[/tex]

[tex]PQ^2=225+64[/tex]

[tex]PQ^2=289[/tex]

Taking square root both sides:

[tex]\sqrt{PQ^2}=\sqrt{289}[/tex]

[tex]PQ=17\ units[/tex] [We take only the positive value as distance is always positive.

∴ Distance between points [tex]P(-12,-2)[/tex] and [tex]Q(3,6)[/tex] is 17 units

Answer:

[tex]y=10[/tex]

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

we have

[tex]-7x+3y=30[/tex]

so

For x=0

substitute the value of x in the linear equation and solve for y

[tex]-7(0)+3y=30[/tex]

[tex]3y=30[/tex]

Divide by 3 both sides

[tex]y=10[/tex]

Answer:

Joe shoveled 6, Jill shoveled 9

Step-by-step explanation:

Answer:

Joe: 6

Jim: 9

Step-by-step explanation:

Joe: x

Jim: 2x - 3

x + 2x - 3 = 15

3x - 3 = 15

3x = 18

x = 6

Answer:

$48

Step-by-step explanation:

A pair of jeans= $12

Two pair of jeans= $12*2= $24

A shirt= $8

3 shirts= $8*3= $24

So it would be $24+$24= $48.

They made their mistake when calculating the cost of the jeans by getting $26 instead of $24.

Answer:

1. The required slope m, for the context is[tex]m = 1.08[/tex]

2. The y-intercept in the context is [tex]a = y = 1052[/tex]

3. The graph is on Desmos.

Step-by-step explanation:

Given:

[tex]a = 1.08\times t + 1052[/tex]

Where,

a is the speed of sound wave.

t is the air temperature.

This is a linear model type equation.

Can be represented in the slope intercept form  which is equal to

[tex]y = mx + c[/tex]

Where,

m = Slope of the line.

c = y-intercept.

Now if we compare the given model by slope intercept formula we get

[tex]m = 1.08\\\\c = 1052[/tex]

So ,the slope in the context of the problem is [tex]m = 1.08[/tex].

and the y intercept in the context of the problem [tex]a = c = y = 1052[/tex]

For Sketching the graph we require two point

put t = 0

∴ a = 1052

Let A (1052, 0) be one point.

put a = 0

∴ t = -974.07

Let B (0, -974.07) another point.

So, the x intercept of the linear model is [tex]t = x = -974.07[/tex]

Here in the graph

X axis represent temperature in degree, Fahrenheit.(t)

Y axis represent Speed of sound wave in feet per second.(a)

Scale on both axes:

1 cm = 100 feet per second on y-axis

1 cm = 100 degree Fahrenheit on x-axis

Answer:

Step-by-step explanation:

Just draw a number line and label three numbers, -4, -3.4 & -3. Mark -3.4 in the number line.

Answer:

3, -3

Step-by-step explanation:

6x^2=54

x^2=54/6

x^2=9

x=sqrt(9)

x=3, -3

Answer:

x=-61/5

Step-by-step explanation:

-5=1/(x+12)

x+12=-1/5

x=-1/5-12

x=-1/5-60/5

x=-61/5

Answer:

The number which satisfy the given statement is 26 .

Step-by-step explanation:

Given as :

Twice a number is added to the number and the resultant is 78

Let The number is x

Now, According to statement

Two times x + x = 78

Or, 2 × x + x = 78

Or, 3 x = 78

So ,  x= [tex]\frac{78}{3}[/tex]

∴   x = 26

I.e The number is 26

Hence The number which satisfy the given statement is 26 .   Answer

Answer: 0.5

Step-by-step explanation: In this problem, we're asked to solve the following equation for p. Let's first switch 14 and 14p around so we have 14p + 14 = 21.

To solve this equation for p, we must first isolate the term containing p which in this case is 14p.

Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

14p + 14 = 21

        -14   -14

On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since p is being multiplied by 14, to get p by itself, we divide both sides of the equation by 14.

On the left side of the equation the 14's cancel and we are left with p. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.

Therefore, p = 0.5 which is the solution for our equation.

Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.

Answer:

A. 1/2

Step-by-step explanation:

Took test got right on edge 2021

Answer:

12/35 inches are in 1 mile.

Step-by-step explanation:

(3/10)/(7/8)=(3/10)(8/7)=24/70=12/35

1 mile=8/8

(8/8)(12/35)=1(12/35)=12/35

To simplify the expression 12k + 5k - 11m + 13m, we can combine like terms by adding the coefficients of the like terms. The simplified expression is 17k + 2m.

The expression 12k + 5k - 11m + 13m can be simplified by combining like terms. Like terms have the same variables raised to the same powers. In this expression, the terms 12k and 5k are like terms because they both have the variable k. Similarly, the terms -11m and 13m are like terms because they both have the variable m.

To simplify, we can add the coefficients of the like terms:

12k + 5k - 11m + 13m = (12 + 5)k + (-11 + 13)m

Therefore, the simplified expression is 17k + 2m.

Answer:

Step-by-step explanation:

5, 39, 24 just finished it

Answer:

[tex]SU=5\\\angle WXY = 24\°\\\angle SYW = 39 \°[/tex]

Step-by-step explanation:

According to the graph,

[tex]\angle WXT \cong \angle YXT[/tex]

So, [tex]m\angle YXT =12 \°[/tex]

By sum of angles we have

[tex]\angle WXY = \angle WXT + \angle YXT\\\angle WXY = 12 \° + 12\° = 24 \°\\\therefore \angle WXY 24\°[/tex]

By given, we know that

[tex]\angle UYS \cong \angle SYW\\\therefore \angle SYW = 39 \°[/tex]

By given, we know that side SU is a leg of the right triangle SUX, where the hypotenuse is 13 units, and the opposite angle is 12°. However, if you look closer, you would find that side ST is 5 units, and by GIven we know that ST = SU.

Therefore, SU = 5.

Answer:

6

Step-by-step explanation:

They both will finish the work in 3.07 hours

Step-by-step explanation:

Time taken by Rachel = 5 hours

Work done by Rachel in one hour = 1/5

Time taken by Carl = 8 hours

Work done by Carl in one hour = 1/8

Let x hours be the time taken by both to do work

Then 1/x will be the work done by both in one hour

So,

[tex]\frac{1}{5} + \frac{1}{8} = \frac{1}{x}[/tex]

Taking LCM

[tex]\frac{8+5}{40} = \frac{1}{x}\\\frac{13}{40} = \frac{1}{x}\\13x = 40\\x = \frac{40}{13}\\x = 3.07\ hours[/tex]

They both will finish the work in 3.07 hours

Keywords: Linear Equation

Learn more about linear equations at:

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Answer:

12 hrs

Step-by-step explanation:

X/30+x/48=1

common denominator

x/1440+x/1440

2x/1440=1

2x=1440

x=720

when you convert to hrs  you get 12

Solution for an=19-7(n-1) equation:

Simplifying

an = 19 + -7(n + -1)

Reorder the terms:

an = 19 + -7(-1 + n)

an = 19 + (-1 * -7 + n * -7)

an = 19 + (7 + -7n)

Combine like terms: 19 + 7 = 26

an = 26 + -7n

Solving

an = 26 + -7n

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by 'n'.

a = 26n-1 + -7

Simplifying

a = 26n-1 + -7

Reorder the terms:

a = -7 + 26n-1

Answer:

1.64 oz

Step-by-step explanation:

0.2 of the soap is 0.2 of 8.2 ounces which is

0.2 * 8.2 ounces

0.2 * 8.2 oz = 1.64 oz

She used 1.64 oz

0.2 is equal to 20% you can figure that out by multiplying 8.2 x20 and then diving that by 100

8.2x20=164

164/100=1.64

Answer:

is is 20

Step-by-step explanation:

Answer:

4(7 + 2v).

Step-by-step explanation:

The greatest common factor of 28 and 8v is 4 so we take 4 out:

28 + 8v

= 4(7 + 2v).

There will be 133.33% increase of airplane passengers.

Step-by-step explanation:

Present value of passengers = 600

Expected value of passengers by 2020 = 1400

Increase = Expected value - present value

Increase = 1400 - 600 = 800

Increase percentage = [tex]\frac{increase}{present\ value}*100\\[/tex]

[tex]Increase\ percentage=\frac{800}{600}*100\\\\Increase\ percentage=\frac{80000}{600}\\Increase\ percentage=133.33\%[/tex]

There will be 133.33% increase of airplane passengers.

Keywords: percentage, division

Learn more about division at:

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The percent of increase in airplane passengers from 600 to 1400 is 133%, calculated using the formula for percentage increase.

To calculate the percent of increase of airplane passengers from 600 to 1400, we need to use the formula for percentage increase, which is: Percentage Increase = ((New Number - Original Number) / Original Number)  imes 100%.

Following the formula:

Therefore, the percent of increase in airplane passengers from 600 to 1400 is 133%.

Answer:

Step-by-step explanation:

5r + 2b = 14 (5 lbs of oranges and 2 lbs of bananas = $14)

3r + 6b = 18 (3 lbs of oranges and 6 lbs of bananas = $18)

Let's use the elimination method. Multiply the first equation by -3:

-15r - 6b = -42

3r + 6b = 18

-----------------

12r = 24

Divide by 12:

r = 2

Answer:

The price per pound of the oranges is $ 2.

The price per pound of the bananas is $ 2.

Step-by-step explanation:

A system of linear equations is a set of equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all. In these equations the unknowns are related to each other.

In this case a system of equations is applied. For that, you must first define the unknowns (or also called variable):

The price of the 5 pounds of oranges, whose price is "x", and 2 pounds of bananas, whose price is "y", bought by Gail must add $ 14. Then expressed in an equation this represents: 5*x+2*y=14 Equation (A)

The price of the 3 pounds of oranges, whose price is "x", and 6 pounds of bananas, whose price is "y", bought by her husband must add $ 18. Then expressed in an equation this represents: 3*x+6*y=18 Equation (B)

Equation A and equation B form the equation system, where the variables are "x" and "y", which are the price of an orange and a banana:

[tex]\left \{ {{5*x+2*y=14} \atop {3*x+6*y=18}} \right.[/tex]

One of the ways to solve a system of equations is through the substitution method.  This method consists of isolating one of the unknowns (for example, "x") and replacing its expression in the other equation. In this way, a first degree equation is obtained with the other variable, "y".

In this case, x is isolated from the first equation, obtaining:

5*x+2*y=14

5*x=14-2*y

[tex]x=\frac{14-2*y}{5}[/tex]

[tex]x=\frac{14}{5} -\frac{2}{5}*y[/tex] Equation (C)

Replacing this equation (C) in the other equation you get:

[tex]3*[\frac{14}{5} -\frac{2}{5} *y]+6*y=18[/tex]

Isolating the value of "y" you get:

[tex]3*\frac{14}{5} -3*\frac{2}{5} *y+6*y=18[/tex]

[tex]\frac{42}{5} -\frac{6}{5} *y+6*y=18[/tex]

[tex]-\frac{6}{5} *y+6*y=18-\frac{42}{5}[/tex]

[tex]\frac{24}{5} *y=\frac{48}{5} \\[/tex]

[tex]y=\frac{\frac{48}{5} }{\frac{24}{5} }[/tex]

[tex]y=\frac{48}{5} *\frac{5}{24} \\[/tex]

y=2

Remembering that "y" is the price per pounds of the banana, then it is possible to say that the price per pound of the banana is $ 2.

Replacing the value of the variable "y" in equation (c) and isolating the value of the variable "x" gives:

[tex]x=\frac{14}{5} -\frac{2}{5}*2[/tex]

[tex]x=\frac{14}{5} -\frac{4}{5}[/tex]

[tex]x=\frac{14-4}{5}=\frac{10}{5}[/tex]

x=2

Remembering that "x" is the price per pounds of the oranges, then it is possible to say that the price per pound of the oranges is $ 2.

Answer:

Interest =$7540

Step-by-step explanation:

p=$13000

r=5.8%

t=10yrs

i=p*r*t/100

=13000*5.8*10/1000

=130*58

= $7540