The formula for the perimeter of a rectangle is P = 2 (1+w).

The solution of the system of linear equation are (1, 7)

3a + 6b = 45

2a - 2b = -12

multiply equation(ii) by 3

Therefore,

3a + 6b = 45

6a - 6b = -36

9a  = 9

a = 1

Hence,

2(1) - 2b = -12

2 - 2b = -12

-2b = -12 - 2

- 2b = - 14

b = -14 / -2

b = 7

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A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.The triangles formed due to the diagonal of the rectangle are congruent to one another.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For the given rectangle ABCD, the length of the diagonals AC and BD can be written as,

AC = √(x² + y²)

BD = √(x² + y²)

Now, the triangles formed due to the diagonals AC and BD are ΔABC and ΔBCD. Also, for ΔABC and ΔBCD we can write,

∠ABC = ∠BCD = 90°

AB = CD = x {Oppsite sides of the rectangle are equal}

BC = AD = y {Oppsite sides of the rectangle are equal}

Hence, the two triangles are equal. Therefore, the triangles formed due to the diagonal of the rectangle are congruent to one another.

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Answer:

17 sq. cm

Step-by-step explanation:

1st you split into 2 smaller shapes

Smaller shape:

A = lw

= 1(2)

= 2

Bigger Shape:

A = lw

= 3(5)

= 15

Add them together

15 + 2 = 17

Answer:

$2,649.50

Step-by-step explanation:

s

A slope is also known as the gradient of a line. The slope of the given linear table is $250 per car.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the linear table is,

m = ($4,000 - $2,500)/(12-6) = $250 per cars

Hence, the slope of the given linear table is $250 per car.

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Answer:

x = -2

Step-by-step explanation:

you can fist distribute -5 into the parenthesis

25x - 15 - 5x + 5 = -50

then combine like terms

20x - 10 = -50

add 10 to both sides

20x = -40

lastly divide both sides by 20

x = -2

that is your answer

Answer:

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Reflection is a rigid transformation, hence it produces congruent figures with congruent angles.

∠Y + ∠X + ∠Z = 180 (angle in a triangle)

86 + 38 + ∠Z = 180

∠Z = 56°

Also:

∠N + ∠M + ∠L = 180 (angle in a triangle)

86 + 56 + ∠L = 180

∠L = 38°

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

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The tangents that exists between the two given circles are not common tangents because they are not of the same size or circumference.

A tangent can be defined as the plane line that touches a curved surface such as a circle but doesn't pass through the circle.

From the diagram given, the two circles are not of the same size, that is, they have different circumstances. This means that the point where the line meets the both circles are not the same.

Therefore, the tangents that exists between the two given circles are not common tangents.

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Answer:

 The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

Answer:

The triangle is not acute because 2² + 4² < 5²

Step-by-step explanation:

got it correct on my quiz

Total time for whole journey would be 3 hours.

The total trip is divided into three intervals :-

Hence to find the total time of the trip we need time taken in each interval and just add them up.

The final expression would be :-

Total time taken = Time taken by bus + Time taken by train +

                                Time taken to change between them

Given:-

Thus Total time for whole journey would be 3 hours.

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Answer:

15¢

Step-by-step explanation:

$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15

Answer: 15 cents

Answer: $2200

Step-by-step explanation:
20% = 0.2
2750 x 0.2 = 550
2750 - 550 = 2200

OR

2750 x (1-0.2) =
2750 x (0.8) = 2200

Answer:

£2200

Step-by-step explanation:

Formula:

20% off

so:

2750x0.20= x Price of car with 80% off

2750-x= Price of car with 20% off

Find answer:

(look in image to see my work on 2750x0.20, I used Microsoft Whiteboard)

2750x0.20=550.00

2750-550=2200

AnsTHE OTHER GUY GOT IT RIGHT SORRY I DID THE MATH WRONG :( Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Distance left to ride = 26.8miles - 6 miles = 20.8 miles

There are 4 days left, so on average,

Hassan has to ride:

[tex] \frac{20.8}{4} \\ = 5.2mi[/tex]

Yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Statement 1: The population of Town C in 2000 was 2/3 of the population in 2005

This tells us the population change from 2000 to 2005 since we need to know the population change from 2000 to 2010, this statement is not sufficient.

Statement 2: The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

Since statement 2 provides no information about the population change from 2000 to 2005, there is no to answer this question with certainty. thus, statement 2 is not sufficient

Statement 1 and Statement 2 combined:

Let X= the population in 2000

Let Y= the population in 2005

Let Z= the population in 2010

From statement 1, we can write: X=[tex]\frac{2}{3}[/tex]Y

Multiply both sides by 3 to get [tex]3X=2Y[/tex]

Divide both sides by 2 to get [tex]\frac{3}{2}X=Y[/tex]

=>[tex]Y=1.5X[/tex]

As per statement 2, let's first determine the increase in the number of people from 2000 to 2005

If [tex]Y=1.5X[/tex], we know

X= the population in 2000

1.5X= the population in 2005

[tex]1.5X-X=0.5X[/tex]

So, the population increased  [tex]0.5X[/tex] from 2000 to 2005

So,  from 2005 to 2010, the population increased at least 0.5X

1.5X= the population in 2005

[tex]1.5X+0.5X=2.0X[/tex]

So, the population in 2010 was at least 2.0X

In other words, the population at least doubled from 2000 to 2010

So, the answer to the target question is yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010?

(1) The population of Town C in 2000 was 2/3 of the population in 2005.

(2) The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

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Answer:

she has 23 points

Step-by-step explanation:

hope this helps and mark brainliest please

The weight of each one of the five little girls if taken separately is 242.4 lb.

The weight of each girl can be determined from the average weight of the girls.

Weight of each girl = (Total weight) / number of girls

W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5

W = 1,212/5

W = 242.4 lb

Thus, the weight of each one of the five little girls if taken separately is 242.4.

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Okay, so let's call B = the number of sandwiches Bill sells

and P = the number of sandwiches Pete sells

Since Bill sells 7 times as many sandwiches as Pete, then

B = 7P

And the difference between their sales is 414 sandwiches. Since we know that Bill sells more than Pete, then

B - P = 434

So, now we can substitute for B from the equation above B = 7P

x = bill's

y = pete's

x = 8y

B - P = 434

7P - P = 434

6P = 434

P = 72.33

Therefore, Pete sells 72.33 sandwiches

Bill sells 7 x 72.33 = 506 sandwiches.

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1) [tex]4x+5=-6x+5[/tex] (given)

2) [tex]4x=-6x[/tex] (subtraction property of equality)

3) [tex]10x=0[/tex] (addition property of equality)

4) [tex]x=0[/tex] (division property of equality)

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

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Answer:

31.77 yd/sec

Step-by-step explanation:

Conversions:

Given:

[tex]\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}[/tex]

Therefore, to convert 65 mph to yards per second:

[tex]\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s[/tex]

Answer:

c.) 31.77... yd/sec

Explanation:

Given: 1 hours → 65 miles

Conversions:

(i) 1 hour = 60 minutes = 3600 seconds

(ii) 1 miles = 1760 yards

Then,

⇒ distance/speed

⇒ 114400/3600

⇒ 31.77777...

⇒ 31.77 yd/sec

280 adults were there in the train.

What is linear equation definition and example?

Given,

      Total children are in the train = 40

     1/8  are children in train and no of children in train ,

      ∴ 1/8 × x = 40

     x = 40 × 8 ⇒ 320

The no of  passenger in train  = 320

in total passenger, 40 are children .

So, rest adults passengers are = 320 - 40 ⇒ 280

There fore, 280 adults were there in the train.

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The function in slope-intercept form is mathematically given as

f(x)=14x+154

Parameters

f(2)=-11,

f(4)=-25

Generally, the equation for the slope is  mathematically given as

[tex]m=\frac{-25+11}{2-}[/tex]

m=7

In conclusion, the line equation

y-2=7(x-+11)

y as subject

y=14x+154

f(x)=14x+154

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The confidence interval comes out to be (0.685,0.735).

Calculating the Confidence Level and Other Terms

The confidence level can be calculated as follows,

z = [tex]\frac{36}{40} * 100%[/tex]%  

z = 90 %

The margin error is given as, E= 0.025

The p value in this case is 0.71

Calculating the Confidence Interval

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Confidence interval can be obtained by using the following formula,

(p-E, p+E) = (0.71-0.025, 0.71+0.025).

Therefore, the confidence interval is (0.685, 0.735).

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The additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

From the information, Triangles A B C and A D C share side A C. Line X is drawn from point B to point B to form 4 triangles.

In this case, the additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

Also, the additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem is that AX and CX are congruent.

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Answer:

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?

✔ AC and BD are perpendicular.

What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?

✔ AX and CX are congruent.

Step-by-step explanation:

right on edge

To find x = [tex]\frac{1}{2} (AB+CD)[/tex]

[tex]x=\frac{1}{2} (46+25)\\\ x=\frac{1}{2} (71)\\ x =35.5[/tex]

Hope it helps!

It will require 2 tablespoons of salt for just 1 tablespoon of sugar for the combination.

Word problems are a systematic approach used in mathematics for solving real-life cases by determining unknown values.

From the given information:

i.e.

11 tablespoon of sugar  + 22 teaspoon of salt = 1 recipe

Then it will require 2 tablespoons of salt for just 1 tablespoon of sugar.

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The total cost or amount that Tiger Biscuits will pay will be Rs 16000.

From the information given, the factory is planing to produce 10,000 units and the standard time per 200 units is 8 hours.

The time taken to produce 10000 units will be:

= (10000/200) × 8

= 400 hours.

The amount that the company will pay will be:

= 400 × Rs 40

= Rs 16000

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The discount percent for the given transaction is calculated as; 6.11%

We are given;

Mark Price; M.P = 4500

Now, formula for discount amount is;

Discount amount = %Discount * M.P

Discount amount = x% * 4500 = 45x

Also;

Selling price is;

S.P = M.P - Discount Amount

S.P = 4500 - 45x

VAT = Vat% * S.P

VAT = (10%*4500) - 45x

VAT = 450 - 45x

S.P with VAT = S.P + VAT Amount = 4500 - 45x + 450 - 45x = 4950 - 90x

Thus;

4950 - 90x = 4400

Solving for x gives;

x = 6.11%

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