the diagram shows three squares that are joined at vertices to form a right triangle.



which statements is true


the sum of the areas of square N and square K is less than the area of square L
2.) the sum of the areas of square N and square K is equal to the area of square L.
3.) the sum of the areas of square N and square L is greater than the area of square K
4.) the sum of the areas of square N and square L is equal to the area of square K​

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

[tex]x+y=130[/tex]                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

[tex]x+10=3y[/tex]              ...(ii)

Substitute the value of x from (ii) in (i).

[tex](3y-10)+y=130[/tex]

[tex]4y=130+10[/tex]

[tex]4y=140[/tex]

Divide both sides by 4.

[tex]y=35[/tex]

Putting [tex]y=35[/tex] in (i), we get

[tex]x+35=130[/tex]

[tex]x=130-35[/tex]

[tex]x=95[/tex]

Therefore, Mingfa have $95.

Answer:

10

Step-by-step explanation:

to find the mean/average you add the numbers together and divide by how many numbers there are, for example you add 4 and 8 and 12 which equals 30 and you divide that by 3 becuase there are three numbers  (4,8,12) which gives you 10.

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

Answer:

The answer is "Option a".

Step-by-step explanation:

In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.

Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

Answer: is 6

Step-by-step explanation:

I havent tried the 6.0 but putting in 6 was correct

1st picture is a PENTAGON

2nd picture is a OCTAGON

3rd picture is a HEPTAGON

Answer:

Step-by-step explanation:

hope this helps! :)

Some fractions equivalent to 3 1/2 are;

7/2

3 2/4

3 4/8

14/4

and many more...

Answer:

.38 probability of getting two heads

Step-by-step explanation:

Answer:

150 A

Step-by-step explanation:

THIS THE ANSWER

I HOPE IT HELPS

Step-by-step explanation:

[tex] = 33\% \times 1400 \\ = \frac{33}{100} \times 1400 \\ = 462 \: dollars \\ remaining \: tax = 1400 - 462 \\ = 938 \: dollars[/tex]

Answer:

V = lwh

31050 = 36(28)w

31050 = 1008w

w = 31"

Step-by-step explanation:

This is ez lol

Answer:

1,440

Step-by-step explanation:

When you find the volume, you have to multiply all the numbers.

So in this case:

10*12*12 = 1,440

Answer:

Step-by-step explanation:

Since their is multiplication and addition you need to remember the order of operations. Also remember that the dot · is another multiplication symbol.

[tex]21*92=1932[/tex]

Now add 10

[tex]1932+10=1942[/tex]

1942 is the final answer

Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

The steps to take to make sure he bought enough fence are

The perimeter of the rectangular fence is 42 feets.

Therefore, two sides of the garden are 12 feet each long. The other two sides are 108 inches long.

The steps to take to make sure he bought enough fence is as follows:

Therefore,

108 inches = 9 ft

Therefore,

12 + 12 + 9 + 9 = 42 feet's.

He bought 40 feet fence. Therefore, he needs 42 feet's of fence which means the fencing will not be enough.

learn more on rectangle here: https://brainly.com/question/10612797

#SPJ2

Answer: D 1/8

Step-by-step explanation: hope this help

Answer:

1/5

Step-by-step explanation:

You count how many colors there are and make how many color as your denominator [5 colors(Red, Green, Blue, Yellow, and Brown)] and find out what color was picked as your numerator [Green(1 color)].

Answer:

a. Substitution method.

b. Elimination method.

c. Graph method.

Step-by-step explanation:

Given the following algebraic expressions;

a. y = 3x + 10 ....... equation 1

2x - 4y = -6 ...... equation 2

The above would be solved using substitution method.

Substituting eqn 1 into eqn 2, we have;

2x - 4(3x + 10) = -6

2x - 12x - 40 = -6

-10x = -6 + 40

-10x = 34

x = 34/10

x = 3.4

y = 3x + 10 = 3*3.4 + 10

y = 10.2 + 10 = 20.2

b. 9x + 2y = 29 ...... equation 1

3x - 2y = -17 ...... equation 2

The above would be solved using elimination method.

Adding eqn 1 to eqn 2, we have;

(9x + 3x) + (2y + (-2y)) = (29 + (-17))

12x + 0 = 12

12x = 12

x = 12/12 = 1

To find y, from eqn 1;

9(1) + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2 = 10

c. y = 3/2x - 5

y = 2x + 8

The above would be solved using a graph method.

You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.

Answer:

[tex]x = 11/4[/tex]

Step-by-step explanation:

Given

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Required

The solution

[tex]1 + \sqrt{4x + 5} = 5[/tex]

Collect like terms

[tex]\sqrt{4x + 5} = 5 - 1[/tex]

[tex]\sqrt{4x + 5} = 4[/tex]

Square both sides

[tex]4x + 5 = 16[/tex]

Collect like terms

[tex]4x = 11[/tex]

Divide both sides by 4

[tex]x = 11/4[/tex]

Considering the provided information in the given question, we have :

We have to find the area of the parallelogram.

As we know that,

⇒ Area of parallelogram = Base × Height

Substituting the values,

⇒ Area of parallelogram = 5.5 cm × 2.5 cm

⇒ Area of parallelogram = 13.75 cm²

Therefore, area of the parallelogram is [tex] \bf 13.75 \: cm^2 [/tex]

Answer:4

Step-by-step explanation:

Answer:

28716.35 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(38 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {19}^{3} [/tex]

[tex] = \frac{86149.04}{3} [/tex]

[tex] = 28716.34667...[/tex]

= 28716.35 mm³ (rounded to the nearest hundredth)

Answer:

B

Step-by-step explanation:

1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal

Answer:

$195.00

Step-by-step explanation:

perimeter is 54 feet

area is 152  [tex]ft^{2}[/tex]

54' * $1.50 = $81.00

152/8 = 19 bags of mulch needed

19*$6.00= $114.00

$195.00    you get away from the store for under 200 :P

P.S. since you said you'll do anything,  send me $1,000,000.00 dollars :D

Answer:

15π/4

9π /4

Step-by-step explanation:

[tex]5 \int\limits^4_1 {f(x)} \, dx[/tex]  = 5 ((-π/4)+ π) = 5 (π-π/4) = 5(3π/4) = 15π/4

[tex]5 \int\limits^6_1 {|f(x)|} \, dx[/tex] =  5(π/4 + 2π)  = 5(9π /4) = 45π/4

Answer:

=−7

Step-by-step explanation:

Answer:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Step-by-step explanation:

Required

Which equals [tex]x = 4[/tex]

[tex](a)\ 2x + 6 = 2[/tex]

Collect like terms

[tex]2x = 2 - 6[/tex]

[tex]2x = -4[/tex]

Divide both sides by 2

[tex]x = -2[/tex]

[tex](b)\ 2x - 9 = -1[/tex]

Collect like terms

[tex]2x = -1 + 9[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

Collect like terms

[tex]-2x =- 12 + 4[/tex]

[tex]-2x =-8[/tex]

Divide both sides by -2

[tex]x = 4[/tex]

[tex](d)\ 2(x + 2) = 10[/tex]

Divide both sides by 2

[tex]x + 2 =5[/tex]

Collect like terms

[tex]x = 5-2[/tex]

[tex]x = 3[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Divide both sides by 2

[tex]x - 10 = -6[/tex]

Collect like terms

[tex]x = 10 - 6[/tex]

[tex]x = 4[/tex]

Hence, the equations with the required solution are:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]