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Applying the theorem of congruent triangles, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

Recall:

Given that:

[tex]\triangle EFG \cong \triangle JKL[/tex],

EF = JK

FG = KL, and

EG = JL

Thus, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

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Answer:

about 24 people in the circle

Step-by-step explanation:

find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students

Answer:

324 ft²

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 18 = 1 : 6

ratio of areas = 1² : 6² = 1 : 36

That is the area of the larger parallelogram is 36 times the smaller

area of larger parallelogram = 36 × 9 = 324 ft²

Answer:

4x –11y < -5, x=7

Step-by-step explanation:

[tex]\huge\mathtt\colorbox{white}{See attachment pl}[/tex]

Answer:

6

Step-by-step explanation:

The hypotenuse is the side opposite the right angle.

The side opposite the right angle is 6 m long

Answer:200:150

Step-by-step explanation:

Answer: 3:4

Step-by-step explanation:

Choice B is the correct answer. The number of students using Photobooth is equal to

500 - (150+200) = 150

people. To find the ratio of students using Photobooth to those using Instapic:

150/200 = 3/4

This fraction can be converted to a ratio, of 3:4

Answer:

0.25

Step-by-step explanation:

First, you distribute the equation.

2(2x+3)-2=5

4x+6-2=5

Then, you combine like terms.

4x+6-2=5

4x+4=5

Next, you subtract 4 from each side.

4x+4=5

4x+4-4=4x

5-4=1

4x=1

Finally, you divide each side by 4.

4x/4

1/4

(4x/4 you'd end up with x)

Answer: x=1/4

Answer:

B or D

Step-by-step explanation:

I believe the answer is B or D if it is not im am very sorry i forgot

Answer:

Simplify the expression.

0.02977742

Step-by-step explanation:

i think i hope its right

Step-by-step explanation:

45÷11= 4 R 1

between 4 and 5

4 1/11

4 1/11

Answer:

75 cents

Step-by-step explanation:

We can use a ratio to solve

8 lemons      1 lemon

------------- = ------------

6 dollars        x dollars

Using cross products

8x = 6*1

8x = 6

Divide by 8

8x/8 = 6/8

x = .75

One lemon costs .75

Answer:

x=0.0307

Step-by-step explanation:

Answer:

i) 1.1

iii) 6.386

v) 3

vii) 2.013

Step-by-step explanation:

i) 22 times 0.05 = 1.1

iii) 2.06 times 3.1 = 6.386

v) 25 times 0.12 = 3

vii) 0.33 times 6.1​ = 2.013

Kind requests:

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Answer:

3168 cubic feet OR 3168ft^3

Step-by-step explanation:

22×18×8=3168ft^3

Answer: 8.75

Step-by-step explanation:

575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.

Answer:

OK so I don't know the answer but there is something called calculator soup and it has a million kinds of calculators lemme give u the link

Step-by-step explanation:

calculatorsoup.com

Answer:

a

Step-by-step explanation:

Answer:

Answer:(h) =***************************

(l)=***************

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

For any two real numbers, a and b ,only one property will hold for given two numbers.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

For any two real numbers, a and b

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

To learn more on number click:

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#SPJ2

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

To solve this question you need to know some properties of a parallelogram which is the shape given.

Firstly, remember that in a parallelogram opposite angles are equal.

Secondly, remember that the diagonals of a parallelogram bisect each other.

Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.

So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.

Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].

Let's name [tex]<[/tex]SPQ, [tex]y[/tex].

and That gives:

[tex]2y+140=360[/tex]

Subtract 140 from both sides:

[tex]2y=360-140[/tex]

[tex]2y=220[/tex]

[tex]y=\frac{220}{2}[/tex]

[tex]y=110[/tex]

So, [tex]<[/tex]SPQ=110 and

Now using the second property we can find that:

[tex]<[/tex]SPQ=[tex]2x[/tex]

And [tex]2x=110[/tex]

[tex]x=\frac{110}{2}[/tex]

[tex]x=55[/tex]

Hope this helped.

Answer:

She averaged 3 miles per week this month.

Step-by-step explanation:

You just take 75% of 4 and get 3.

Answer:

v = 1

u = 2

Step-by-step explanation:

Given is a special right triangle with angle measures as follows:

90-60-30

The side lengths would be :

2x- x[tex]\sqrt{3}[/tex]-x

in the image it shows that the second side length (the one that sees angle measure 60) is [tex]\sqrt{3}[/tex] from this we can conclude x = 1 so:

v = 1 and

u = 2

Answer:

12/18 and 10/15

Step-by-step explanation:

12/18 = 2/3 (when the numerator and denominator are divided by 6)

10/15 = 2/3 (when the numerator and denominator are divided by 5)

∴ 12/18 and 10/15 are equivalent

Answer:

54%

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Any coordinate point that lies on the line is a solution , that is

(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )

Answer:

x=4, y=-10, z=-10

Step-by-step explanation: