The figure shows triangle POR and line segment AB, which is parallel to QR:
А - В
o
R
Part A: Is triangle POR similar to triangle PAB? Explain using what you know about triangle similarity (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)

Step-by-step explanation:

23.4571

Sig Figs6

Decimals4

Scientific Notation2.34571 × 101

Words twenty-three point four five seven one

Answer:

the first car has 25 gallons of gases while the second car has 35 gallons of gases

Answer:

I don't see a question, so it Imma answer how it seems.

It looks like it's B. x < -6.

(You can tell bc the circle is open and the arrow is pointing left.)

I think this is right

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Alternate interior angles theorem

Answer:

Step-by-step explanation:

  0.7

 -3.5

+ 4.2

______

Answer:

[tex]y-6=-\frac3{13}(x-5)[/tex]

Step-by-step explanation:

Get the slope of the line between the two points. As usual, [tex]m= \frac{\Delta y}{\Delta x}= \frac{8-(-18)}{4-(-2)}=\frac{8+18}{4+2}=\frac{26}{6}=\frac{13}3[/tex]

You want the perpendicular to it, so take it's inverse and change its sign:

[tex]m_p=-\frac3{13}[/tex]

At this point, it's just using the point-slope form, and you're done - unless you're required to provide the line in a specific way, which usually means just crunching numbers and rewriting the equation

[tex]y-y_0=m_p(x-x_0)\\y-6=-\frac3{13}(x-5)[/tex]

Answer:

y=-3/13x+7.15384615385

Step-by-step explanation:

y=mx+b

We want to find the slope first so will find the slope of the line that is perpendicular to our line.

y2-y1/x2-x1

-18-8/-2-4=

-26/-6=

13/3

The slope of the other line is 13/3

To find the slope of our line we can do the opposite reciprocal of 13/3 which is -3/13.

Let's plug that in with the other values to find y-intercept

6=-3/13*5+b

6=-1.15384615385+b

b=7.15384615385

I have no idea why our number is super weird but um yea

Since she is writing the numbers from least to greatest, they would be written like this:

-4.5, -3.5, -3, 4

The greater the negative number, the more the value decreases. Negative numbers are always less than non-negative numbers.

Answer:

5

10

4

Step-by-step explanation:

Those numbers do into 7140 with no remainder

Answer:

its nothing bc there is no y

Step-by-step explanation:

Answer:

7500 ml

Step-by-step explanation:

first times 0.15 x 15

you get 7.5 liters during the 15 days

convert that into milliliters and its 7500ml

Answer:

1. 35 minutes

2. 12:15 p.m.

3. 110 minutes

4. 6:05 p.m.

5. 9:21 a.m.

Step-by-step explanation:

1. Subtract 2:55 from 3:30 = 35

2. Subtract 25 minutes from 12:40 = 12:15

3. Subtract 7:20 from 9:10 = 110

4. Add 35 minutes to 5:30 = 6:05

5. Subtract 33 from 9:54 = 9:21

Answer:

Step-by-step explanation:

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

How to determine the linear equation

Start by calculating the slope (m) using:

So, we have:

Simplify

The equation is then calculated as:

So, we have:

Open the brackets

Hence, the linear equation that represents the table is (a) y = 7x +4

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$750\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ 750 = (P)(0.06)(2)\implies \cfrac{750}{(0.06)(2)}=P\implies 6250=P[/tex]

Answer:

11.2

Step-by-step explanation:

15×15-10×10=125

Square root of 125 to the nearest tenth is 11.2

Answer:

12 ft

Step-by-step explanation:

Length = x

Area = length * width = x * 8 = 8x

so 8x = 96

x = 12 ft

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+5x−2=90

Step 1: Simplify both sides of the equation.

2x+8+5x−2=90

2x+8+5x+−2=90

(2x+5x)+(8+−2)=90(Combine Like Terms)

7x+6=90

7x+6=90

Step 2: Subtract 6 from both sides.

7x+6−6=90−6

7x=84

Step 3: Divide both sides by 7.

7x7=847

x=12

Answer:

a

The sample size is  n  = 621

b

    Voters                 Relative Frequency                Frequency

   Romney                            0.21                                     130      

    Huckabee                        0.19                                     118

    Guiliani                              0.12                                    75

    John McCain                     0.10                                    62

       Ron Paul                         0.04                                    25

 Fred Thompson                    0.04                                     25

  Duncan Hunter                      0.01                                      6

  Tom Tancredo                         0.01                                    6

    Undecided votes                   0.28                                 174

Step-by-step explanation:

From the question we are told that

   The  number of voters is  n  =  621

   The  voter  election aspirants  and their relative frequency are

Romney , 0.21

Huckabee , 0.19

Guiliani  ,  0.12

John McCain ,0.10

 Ron Paul , 0.04

Fred Thompson 0.04,

Duncan Hunter 0.01

Tom Tancredo 0.01

Undecided votes 0.28

This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies  from  1 (i.e 100%)

Generally the frequency is mathematically represented as

 Romney ,  621 *  0.21  =  130      

Huckabee ,  621 *  0.19    =  118

Guiliani  ,   621 * 0.12 =  75

John McCain      621 * 0.10 = 62

 Ron Paul , 621 * 0.04  =  25

Fred Thompson 621 * 0.04 =  25

Duncan Hunter 621 *  0.01  = 6

Tom Tancredo 621 * 0.01 =  6

Undecided votes 621 * 0.28 =  174

So the table is  

    Voters                 Relative Frequency                Frequency

   Romney                            0.21                                     130      

    Huckabee                        0.19                                     118

    Guiliani                              0.12                                    75

    John McCain                     0.10                                    62

       Ron Paul                         0.04                                    25

 Fred Thompson                    0.04                                     25

  Duncan Hunter                      0.01                                      6

  Tom Tancredo                         0.01                                    6

    Undecided votes                   0.28                                 174

Answer:

36 square units

Step-by-step explanation:

A 2x2 square has sides that are 2 units long.

When you dilate by a factor of 3, each side has a length 3 times the original length. 2 * 3 = 6. Each side is now 6 units long.

area = side * side = 6 units * 6 units = 36 units^2

Answer:

12

Step-by-step explanation:

Answer:

  12

Step-by-step explanation:

The constant of proportionality is the slope of the line, the ratio of the y-coordinate to the x-coordinate.

  k = 36/3 = 12 . . . . . from the lower left point (not the origin)

__

Additional comment

This comes from the equation for a proportion:

  y = kx

Solving for k, we get ...

  k = y/x

A proportion always graphs as a line through the origin. The slope of it is k, the constant of proportionality.

Answer:

It is not equivalent.

Step-by-step explanation:

9(4x-1) simplifys out to 36x-9.

Answer: 6042.23

Step-by-step explanation:

P0=d(1−(1+rk)−Nk)(rk).

We have P0=$1,200,000,r=0.0195,k=12,N=20, so substituting in the numbers into the formula gives

$1,200,000=d(1−(1+0.019512)−20⋅12)(0.019512),

that is,

$1,200,000=198.602327d⟹d=

The total interest payable is $4,68,000.

Given,

An executive wishes to take out a $1,200,000 mortgage.

The yearly interest rate on the loan is 1.95% and the loan is for 20 years.

Payments will be made monthly.

Calculate the total interest payable.

Round your answer to the nearest thousand dollars.

It is given by:

SI = (P x R x T) / 100

P = principal amount

R = rate

T = time

We have,

P = $1,200,000

R = 1.95%

T = 20 years

SI = (P x R x T) / 100

SI = (1200000 x 1.95 x 20) / 100

SI = (1,200,000 x 195 x 20) / 100 x 100

SI = 120 x 195 x 20

SI = $4,68,000

Thus the total interest payable is $4,68,000.

Learn more about simple interests here:

https://brainly.com/question/14890644

#SPJ2

Answer:6

Step-by-step explanation:

because [tex]\sqrt{35}[/tex] is closer to 6 than 5 and is also about 5.9...

Answer:

C. mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).

x + 75 + x + 125 = 180

2x = 180-75-125

2x = -20

x = -10

Answer:

A/Q

X+75+x+125=180

=>2x+200=180

=>2x=180-200

=>x=-20/2

Hence,the value of x=-10

Answer:

Dan drank 11 glasses of water

Step-by-step explanation:

5 + 6 = 11

Answer:

11

Step-by-step explanation:

5+6=11

Answer:

$7

Step-by-step explanation:

Suppose she is earning an equal amount for each hour she works:

$140 = 20h divide both sides by 20

$7 = 1h she earns $7 per hour

Answer:

There were 12 cookies at the start

Step-by-step explanation:

Since Maximo likes to eat 2 cookies per day, after three days, he would have eaten 6 cookies. There are 6 cookies left after 3 days, so 6(amount he ate) + 6(amount of cookies left) is 12.