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- Will mark brianist

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

Answer:

New Rural Urban distribution = 56.4 , 43.4

Step-by-step explanation:

Let the total population be = 100

The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively

Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.

Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.

So, New rural population = old rural - rural to urban shift + urban to rural shift  = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4

New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4

So, the new distribution is =  56.4 , 43.4

Question 1

Answer: C) First and last term

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Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

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Question 2

Answers:

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

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

(-3‚1) lies in second quadrant.

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

to find profit use formula,

profit%=profit/cost price*100

20%=x/$9000*100

20*$9000=100x

$180000/100=x

$1800=x

Now to find selling prie os a table use formula,

cost price +profit

$9000+$1800

$91800

therefore selling price of a table is $91800

Step-by-step explanation:

Hope this helps u!!

Answer: it should be 565.5

Step-by-step explanation:

Answer: the volume would be 565.49 rounded 565.5

Step-by-step explanation:

trust i plugged it into a cylinder calculator

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

Answer:

What

Step-by-step explanation:

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer: Low

The overlap of data set 1 and data set 2

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

To convert the value of speed in feet per seconds to kilometers per hour:

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320‬ inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

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Answer:

sorry don't know what the answer is

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

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Answer:

100.48 square inches

Step-by-step explanation:

Surface area of a cylinder = 2πr(r+h)

r is the radius

h is the height

Given

radius = 9in

height = 7in

π = 3.14

Substitute into the formula

Surface area of the cylinder = 2(3.14)(9+7)

Surface area of a cylinder = 2*3.14*16

Surface area of a cylinder = 100.48 square inches

Hence the  amount of wrapping paper you need to wrap a gift in the

cylindrical box is 100.48 square inches

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

Answer:

the LCM of those would be 15.

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups