there are 12 pupils in class. they are asked whether each have a brother or a sister., 9 say they have a brother

Answer/Step-by-step explanation:

✅m<1 = 180 - 52° = 128° (consecutive interior angles)

✅m<2 and 52° are alternate interior angles. Alternate interior angles are congruent.

Therefore:

m<2 = 52°

✅m<3 and 47° are alternate interior angles. Alternate interior angles are congruent.

Therefore:

m<3 = 47°

✅m<4 = 180 - m<3 (linear pair)

m<4 = 180 - 47 (substitution)

m<4 = 133°

✅m<5 = 180 - (52 + 47) (angles on a straight line)

m<5 = 81°

Answer:

824

Step-by-step explanation:

DELTAMATH

The amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Nora invested $6,300 in an account paying an interest rate of 7(3/4)% compounded continuously. Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{3}{4}\\r=\dfrac{31}{4}[/tex]

The principal amount of Nora is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{31}{4\times100}\right)^{11}\\A=14319.59[/tex]

Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly.  Convert this rate of interst in fractional form as,

[tex]r=7\dfrac{1}{4}\\r=\dfrac{29}{4}[/tex]

The principal amount of Elia is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

[tex]A=6300\times\left(1+\dfrac{29}{4\times100}\right)^{11}\\A=13605.39[/tex]

The differnce is,

[tex]d=14319.59-13605.39\\d=714.20\\d\approx714[/tex]

Thus the amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Learn more about the compound interest here;

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Answer: The Fourth one

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

8 and 4:

Multiples of 8: 8, 16, 24

Multiples of 4: 4, 8, 12, 16

8 and 6:

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

8 and 10:

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 10: 10, 20, 30, 40

Answer: 8 and 4.   A

              8 and 6.   C

              8 and 10.  B

Step-by-step explanation: hope this helped

Answer:

40

Step-by-step explanation:

y = 4

z = 2

8y + 12 - 2z

8(4) + 12 - 2(2)

32 + 12 - 4

44 - 4

40

Answer:

40

Step-by-step explanation:

Answer:

3x - 2y = 19

Step-by-step explanation:

y = mx + b

The slopes of perpendicular lines are opposite reciprocals:

[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~

2x + 3y = - 5

y = - [tex]\frac{2}{3}[/tex] x - [tex]\frac{5}{3}[/tex]

(3 , - 5 )

Slope of perpendicular line is [tex]\frac{3}{2}[/tex]

y - ( - 5) = [tex]\frac{3}{2}[/tex] (x - 3)

y + 5 = [tex]\frac{3}{2}[/tex] x - [tex]\frac{9}{2}[/tex]  

y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{19}{2}[/tex]

3x - 2y = 19

Step-by-step explanation:

Hope it will help you ❤❤

Answer:

B (-2, 2)

Step-by-step explanation:

The midpoint equation is:

[tex]x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2} [/tex]

[tex]y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2} [/tex]

Then:

[tex]x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2} [/tex]

[tex]y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}[/tex]

[tex]x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2[/tex]

[tex]y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2[/tex]

Answer: 9 + 6.2x = y

Step-by-step explanation: x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

k

Step-by-step explanation:

Answer:

Market price = 3,361.4 (Approx.)

Step-by-step explanation:

Given:

Selling price = 3,430

Discount percentage =2 %

Find:

Market price

Computation:

Market price = Selling price [1-2%]

Market price = 3,430 (1-2%)

Market price = 3,361.4 (Approx.)

Answer:

That is the shiniest fish tank I've ever seen!

Answer:

Step-by-step explanation:

the answer is x<0

because

x-4+4<-4+4

Answer:

Vertical angles

Step-by-step explanation:

Those two angles are vertical angles, are vertical angles are congruent.

The reason  ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.

A triangle is a polygon with three sides and three angles and three vertices.

The diagram is given and it is been asked to fill the missing statement

The ∠ ABC ≅ ∠DBE  Reason = ?

The line CE and AD intersects each other at a vertex B and forms vertically opposite angles and so they are equal.

Therefore the reason  ∠ ABC ≅ ∠DBE is that they are vertically opposite angle.

To know more about Triangle

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Answer:

-7/8

Step-by-step explanation:

If two lines are parallel, they have the same slope. The slope of p is -7/8 (y=mx+b), so the slope of q is also -7/8.

Answer:

A. 1,000 ml milk B. 3,500 g flour

Step-by-step explanation:

Divide: 250 divided by 8. You get 31.25.

Multiply: 31.25 times 32. You get 1,000

Divide: 140 divide by 8. You get 17.5

Multiply: 17.5 times 20. You get 3,500

Hope I helped!! :) Sorry if it's wrong! :(

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137  equation

STEP 2

3<-2x-137  simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3   simplify

-2x>140

step 4

-2x>140   look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

Answer:

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% spelling; must add one out of each of the pairs

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%   labelled/labeled.dic

%   centre/center.dic

%   ize/ise.dic

% Extracted from US.dic and UK.dic, but with the 2 and 3 letter words

%  of US.dic only.

% Patrick W. Daly   1998/05/19

% Update:  2000/03/02

% remove -yze and -yse words to yse.dic and yze.dic

% move advertise to here (is never advertize)

Step-by-step explanation:

Answer:

The sale tax in this state is 6%

Step-by-step explanation:

In order to find out the the sales tax we first have to create a fraction which has the difference between the price with taxes and without taxes, as its numerator, and the price without taxes as its denominator. So we do...

[tex]\frac{12.72-12.00}{12.00} = \frac{1272 - 1200}{1200} = \frac{72}{1200} = \frac{3}{50}[/tex]

Now we just have to find a fraction with the same value but with a denominator being 100. So in out case we do....

[tex]\frac{3}{50} = \frac{(3)(2)}{(50)(2)} = \frac{6}{100}[/tex]

Since we know that 1% is equal to [tex]\frac{1}{100}[/tex] we know that [tex]\frac{6}{100}[/tex] also means 6%. Therefore the answer is 6%

Answer:

x = 2

Step-by-step explanation:

2x + 1 = 5

Step 1: Subtract +1 and 5 by -1

2x = 4

Step 2: Divide both 2x and 4 by 2

x = 2

An X block is worth 2 in the image.

Answer:

the answer is c

Step-by-step explanation:

because the value of y is the same but the value of x has different sign

Answer:

x = 6

Step-by-step explanation:

Here, we are to find the value of x

Applying the side splitter theorem, we have that;

10/30 = 2/x

Thus;

10 * x = 30 * 2

10x = 60

x = 60/10

x = 6

Answer:

The ones digit or the First 7 to the left

Step-by-step explanation:

Since 10 times more

so ones place is 7

Tens place is 70

hunreds place is 600

thousands is 4000

ten thousands is 30,000

hundred thousands is 600,000

Million’s digit is 1,000,000

So since the only one with a 10 times difference is 7

So 7

Answer:

what do you need help with

Answer:

The answer is A) 8a-48

Step-by-step explanation:

Answer:

alternative angle is the correct answer

It's cause you're using Discord on Light Mode. Change it to Dark Mode and see what happens.

Answer:

i dont understand the question but thats horrible what those people said

Step-by-step explanation:

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D