If triangle CBA = triangle CDE, what is the distance between E and C?

A. 6 cm
B. 8 cm
C. 10 cm
D. 16 cm

Answer:

£133

Step-by-step explanation:

March had 31 days

Extra days used in March = March 31 - March 28

= 3 days

Extra days used in April = 16 days

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Total fine paid = £133

The total fine paid by amir should be  £133.

March had 31 days

Extra days used in March should be

= March 31 - March 28

= 3 days

Now

Extra days used in April = 16 days

And,  

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Learn more: brainly.com/question/16911495

Answer:

11.0344828%

Step-by-step explanation:

145000 - 129000 = 16000.

16000/145000 = 16/145 = 0.110344828

Therefore there was a 11.0344828% decrease

Answer:

11.03% that is the percentage decrease

Answer:

9

Step-by-step explanation:

divide 5 into 45 which equals 9

Answer:

The minimum number of teachers needed for this trip is 18.

Step-by-step explanation:

The slope for this is 5/2. So the equation is y = (5/2)x. We know the y is 45 students. So we do division. In the end, we get x = 18 teachers.

Answer:

50%

Step-by-step explanation:

Total students = 12 + 18 + 6 = 36

Seventh-graders = 18

18/36*100 = 50%

Answer:

Step-by-step explanation:

12 are 6th graders

18 are 7th graders

6 are eight graders

total=36

7th graders are 50%

18........................?%

36.........................100

18*100/36=50

Answer:

x = 2

Step-by-step explanation:

In the given figure

∵ ABC is a triangle

∵ D is a point on side AB

∵ E is a point on side BC

∵ DE // AC

∵ AC is the third side of the triangle

→ That means DE divides the sides AB, BC into parts that have the same ratio

∴ [tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex]

∵ BD = 6 and DA = 4

∵ BE = x + 1 and EC = x

→ Substitute them in the ratio above

∴ [tex]\frac{6}{4}[/tex] = [tex]\frac{x+1}{x}[/tex]

→ By using the cross multiplication

∵ 6 × x = 4 × (x + 1)

∴ 6x = 4(x + 1)

∴ 6x = 4(x) + 4(1)

∴ 6x = 4x + 4

→ Subtract 4x from both sides

∵ 6x - 4x = 4x - 4x + 4

∴ 2x = 4

→ Divide both sides by 2 to find x

∴ x = 2

Answer:

(1/3)(9x+27) > x + 33

multiply out the 1/3

3x + 9 > x + 33

subtract x and 9 from both sides

2x > 24

x > 12

D) because you dont include the 12

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it is a rational number

Answer:

14 scarves

Step-by-step explanation:

Change the divisor 3.75 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

5250 ÷ 375 = 14

and therefore:

52.5 ÷ 3.75 = 14

Both calculated to 0 decimal places.

Answer:

The house would be worth £89989.12 in January 2015.

Step-by-step explanation:

With respect to the optimistic forecast, the value of the house will increase by 4% per year.

For the first year (January 2012 to January 2013),

4% of £80000 = 0.04 x £80000

                      = £3200

The cost of the house = £80,000 + £3200

                                     = £83200

For the second year (January 2013 to January 2014), we have;

4% of £83200 = 0.04 x £83200

                        = £3328

The cost of the house = £83200 + £3328

                                    = £86528

For the third year (January 2014 to January 2015), we have;

4% of £86528 = 0.04 x £86528

                        = £3461.12

The cost of the house = £86528 + £3461.12

                                     = £89989.12

According to the forecast, the house would be worth £89989.12 in January 2015.

Answer:

lemonade = 11

Step-by-step explanation:

let p = pink lemonade

let t = sweet tea

create a system of equations -- one with quantity, one with associate costs

p + t = 21      

2.5p + 4t = 67.5

substitution method:  let t = 21 - p

2.5p + 4(21 - p) = 67.5

2.5p + 84 - 4p = 67.5

-1.5 p = -16.5

p = 11

t = 21 - 11

t = 10

Answer:

x = 4

Step-by-step explanation:

7x + 16/11 = 4

11 x 7x + 16/11 = 4 x 11

7x + 16 = 44

7x + 16 - 16 = 44 - 16

7x = 28

7x/7 = 28/7

x = 4

Check:

7x + 16/11 = 4

7(4) + 16/11 = 4

28 + 16/11 = 4

44/11 = 4

4 = 4 (note that this number is not the answer, just to check if each side is balanced, the actual answer is 4)

Bam !

Hope this helps ^w^

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x + 16}{11} = 4[/tex]

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 4 does indeed equal 4.

∴ x = 4 is the solution to the equation.

Answer:

1) c. 10 1/2 + 1/2 m > 14

2)

[tex]x\leq 3[/tex]

hope this helped

Answer:

how to do this

Step-by-step explanation:

i need it

Answer:

equation b ............

===================================================

Explanation:

Let

The goal is to find y

For now, focus on the interior angles of triangle DEF. We have these three angles:

Those interior three angles add to 180. This is true for any triangle.

D+E+F = 180

90+53+x = 180

143+x = 180

x = 180-143

x = 37

angle 2 = 37 degrees

Now we can find y.

Focus on angles 2 and 3, which are x and y respectively. These two angles add to 180 because they form a straight line. Note: the triangle's angles summing to 180 is closely related to this idea where angle 2 and angle 3 are a linear pair.

So this means,

(angle2)+(angle3) = 180

x+y = 180

37+y = 180

y = 180-37

y = 143

angle 3 = 143 degrees

It's not a coincidence that we ended up with a previously calculated value of 143. It turns out that adding the remote interior angles D and E leads to the exterior angle EFG.

D+E = 90+53 = 143 = angle EFG

I'm using the remote interior angle theorem. Some textbooks may call this the exterior angle theorem. In my opinion, the phrasing "remote interior angle theorem" is more descriptive.

Answer:

Number of songs played last year = 98,112 songs

Step-by-step explanation:

Given:

Number of songs played = 116,800

Decrees songs = 16% = 0.16

Find:

Number of songs played last year

Computation:

Number of songs played last year = Number of songs played[1-Decrees songs]

Number of songs played last year = 116,800[1-0.16]

Number of songs played last year = 98,112 songs

Answer:

3/2 = X

Step-by-step explanation:

Answer:

100th term = -1485

Step-by-step explanation:

[tex]t_{n} = a + (n - 1)d[/tex]

n = number of terms

= 100

a = first term

= 5

d = difference

= second term - first term

= 2 - 5

= -3

substitute the values into the formula

[tex]t_{100} = 5(100 - 1)( - 3)[/tex]

[tex]t_{100} = 5(99)( - 3)[/tex]

[tex]t_{100} = 495( - 3)[/tex]

[tex]t_{100} = - 1485[/tex]

Answer:

2

Step-by-step explanation:

Answer: To find x you to figure out if the two longest sides of the triangle are equal. to do that find all angles to help.

Step-by-step explanation:

Answer:

x = 9.9   (or √98) (or 98¹/²)

y = 7

Step-by-step explanation:

triangle is equilateral right triangle, y = 7

x² = 7² + 7² = 98

x = 9.9   (or √98) (or 98¹/²)

9514 1404 393

Answer:

  B)  Dilations increase angle measures.

Step-by-step explanation:

Dilations have no effect on angle measures, but they uniformly change the size and spacing of line segments. They are a non-rigid transformation that leaves geometric figures similar to the original.

The false statement is B.

Answer:

-1/2 anwserchoice B

Step-by-step explanation:

negitive (-) and then rise (1 up) over run (two over)

good morning to you aswell <3

Answer:

Step-by-step explanation:

Okay, I'm assuming you want us to figure out how much the hat costs.

To start off, let's figure out how much the gloves cost after the discount. 35 / 100= 0.3. We multiply that by 70%, since that is how much of the price is going to be left over after deducting 30%. We get $24.50.

So;

$44.80 of the total bill - $24.50=$20.30.

So we now know the hat cost $20.30.

Answer:

10

Step-by-step explanation:

Range of data = Highest value - Lowest value

Here,

Highest value = 5

Lowest value = -5

Range = 5 - (-5)

= 5 + 5

= 10

Answer:

1

Step-by-step explanation:

Answer:

24= 2*2*2*3= 2^3*3

Step-by-step explanation:

Answer:

prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3

Step-by-step explanation:

List the first several prime numbers: 2, 3, 5, 7, 11, 13, ...

Now start with 2. Divide 24 by 2 as many times as possible. Then move on to 3, to 5, etc. until you end up with 1.

Divide only by prime numbers.

Start by dividing 24 by 2:

24/2 = 12     12 is divisible by 2, so divide 12 by 2.

12/2 = 6       6 is also divisible by 2, so divide 6 by 2.

6/2 = 3    Since 3 is not divisible by 2, move onto 3.

3/3 = 1      When you get to 1, stop. The prime factors are all the prime numbers in boldface that you divided by.

prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3

Step-by-step explanation:

4+5+6=1000

1000/15

4 . 5. 6= 266.4 . 333. 399

9514 1404 393

Answer:

  266 2/3 : 333 1/3 : 400

Step-by-step explanation:

The total of ratio units is 4+5+6 = 15, so the fraction of 1000 that each portion represents is ...

  4/15 : 5/15 : 6/15 = 4/15 : 1/3 : 2/5

Multiplying 1000 by these fractions gives ...

  1000(4/15) : 1000/3 : 1000(2/5)

  = 266 2/3 : 333 1/3 : 400