State the postulate or theorem that proves that the triangles are congruent. If the triangles cannot be proven congruent, write not possible.

By answering the above question, we may state that by equation Once more, we can observe that the two conjugates' product is an integer.

Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion.

The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.

An integer is always obtained when a radical expression is multiplied by its conjugate since the product has the form[tex]a^2 -b^2[/tex], where a and b are rational numbers. This is so that we may obtain the difference of the squares of the two terms within the radical when we multiply the two conjugates.

Consider the radical expression [tex]\sqrt3 - \sqrt2[/tex] and its conjugate,  [tex]\sqrt3 - \sqrt2[/tex] , to understand this. These two expressions can be multiplied as follows:

[tex]\sqrt{\sqrt3 - \sqrt2\\[/tex]

[tex]\sqrt{(\sqrt3 - \sqrt2) ((\sqrt(3 + \sqrt(2)))} = 3 - \sqrt(2 ) = 1$$[/tex]

As a result, we can observe that the two conjugates' product is an integer.

The radical phrase [tex]\sqrt5 - \sqrt3[/tex] and its conjugate, [tex]\sqrt5 +\sqrt3[/tex] , serve as another illustration.

[tex](\sqrt5 -\sqrt3)[/tex]

[tex](\sqrt(5) + \sqrt(3)) = \sqrt(5) \times \sqrt(5) + \sqrt(5) \times \sqrt(3) - \sqrt(3) \times \sqrt(3)[/tex]

[tex](\sqrt5 - \sqrt3)( \sqrt 5+ \sqrt3) = 5 - 3 = 2[/tex]

Once more, we can observe that the two conjugates' product is an integer.

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The height of the cylinder is 8cm

The formula for calculating the volume of the cylinder is expressed as;

[tex]V = \pi r^2 h[/tex]

r is the radius

h is the height

Substitute the given parameters into the formula:

[tex]V = \pi r^2 h\\72 \pi = \pi \times 3^2h\\72 = 9h\\h=\frac{72}{9}\\h = 8cm[/tex]

Hence the height of the cylinder is 8cm

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Answer: 1.3 seconds

Step-by-step explanation:

Given: Distance of the moon to the Earth = 384,400 km = 384400 x 1000 meters = 384400000 meters.  [1 km = 1000 m]

Speed of light =[tex]2.998 \times 10^8[/tex]  m/s = 299800000 m/s

Formula: [tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

Let t be the time taken by the light to travel from the moon to the Earth.

[tex]t=\dfrac{384400000}{299800000}\approx1.3\text{ seconds}[/tex]

Hence, it will take approximately 1.3 seconds for the light to travel from the moon to the Earth.

Answer:

Step-by-step explanation:

Since 4e cancels out itself, the answer remains 2f.

*Note: I am not entirely sure this is correct, sorry if it isn't *

Answer:

q= -3

Step-by-step explanation:

Hope this graph helps!          

Answer:

B. got the perfect situation

Step-by-step explanation:

here

24flowers are distributed in 6 vase equally

that mean

[tex] \frac{24}{6} [/tex]

this may help you (:

Answer:

Answer 1: $6,289

Answer 2: $198

Step-by-step explanation:

1-

a(10)=10,000(1+.05)^10

=16,288.95  =16,288-10,000=$6,289

2-

A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487

6487-6289=$198

Answers

I got answer 16.9

Step-by-step explanation:

1. Let's first look at triangle XYC. We know angle Y is 90 degrees because it has the symbol. and it is given that Angle X 45 degrees. Using the triangle interior angle theoreom, a triangle has 180 degrees so Angle C is 45 degrees. Know let find the sides, First we can deduce XY is 5 cm because of the triangle midsegment theorem XY is half of BC so since we know BC is 10  that means XY is 5.  Then applying 45-45-90 triangle rules, XY=5, YC=5 and XC=[tex]5\sqrt{2}[/tex].

2.Now let look at the triangle XBC. Let find one  missing angles. In the triangle . A  angle bisector  XC bisects XY and BC  . Using that information Angle C of XYC = Angle C of XBC. So angle C=45 degrees. Knowing looking at the main triangle ABC  Angle A=30, Angle C= 45+45=90 and Angle B=60 by interior triangle theorem. So going back to Angle X so angle x is 75 degrees due to interior triangle theorm. Also since Y=90 degrees it forms a linear pair to triangle AXY so Y=90 for AXY

Now let apply 30-60-90 triangle rules to AXY. XY =5, AY=[tex]5\sqrt{3}[/tex] and AX=10.  

Finally. Apply 30-60-90 triangle rules to ABC. AC=[tex]5\sqrt{3}[/tex] +5 BC=10 and AB should turrn out to be 16.9.

This may not be right,but good luck:)

Answer:

72

Step-by-step explanation:

(pls mark me brainliest if u can)

Answer:

7*(5)^0,5

Step-by-step explanation:

The value of number 7√5 in form of rational exponents will be 1561/1000.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ 7√5

Now,

Since, The number is,

⇒ 7√5

Solve as;

⇒ 7√5 = 7 × 2.23

           = 15.61

           = 1561/100

Thus, The value in rational exponents = 1561/1000

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Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

[tex]2x+3y=7 .....1\\x+y=3 ..........2\\[/tex]

Using substitution method

from equation 2 :

[tex]x=3-y ....3[/tex]

Substitute equation 3 into 1:

[tex]2(3-y)+3y=7[/tex]

Open the bracket

[tex]2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1[/tex]

Substitute y=1 into x=3-y

[tex]x=3-1\\x=2[/tex]

Hence the solution to the equation is (2,1)

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Answer:

(3, - 2 )

Step-by-step explanation:

Given the 2 equations

4x - 2y = 16 → (1)

y = - 5x + 13 → (2)

Substitute y = - 5x + 13 into (1)

4x - 2(- 5x + 13) = 16 ← distribute and simplify left side

4x + 10x - 26 = 16

14x - 26 = 16 ( add 26 to both sides )

14x = 42 ( divide both sides by 14 )

x = 3

Substitute x = 3 into (2) for corresponding value of y

y = - 5(3) + 13 = - 15 + 13 = - 2

solution is (3, - 2 )

Answer:

answer:70+2=72 lixtoo

Answer:

Mark borrowed> (Subtracting) 125 dollars, so he will have negative 125 because he took it away. He gives back> (Addition) 30 dollars.

-125+30= -95. So, he owes 95 dollars.

(Easy way)

I hope this helped :))

7.85

explanation

you multiply the two numbers together

Answer:

$7.85

Step-by-step explanation:

To solve this problem, we can use the cancelling of units.

cost = $3.14/1 lb * 2.5 lb

The pounds cancel out leaving dollars so you get cost = $3.14 * 2.5

so cost = $7.85.

Answer:

7+x this is the answer ok

Answer:

5 problems

Step-by-step explanation:

20=%80

10=%40

5=%20

100-80=20

20+5=25

5 problems left

Answer:

Brainiest

Step-by-step explanation:

17 1/2

Answer: In fraction form it will be 1/160

Step-by-step explanation: Hope this helps :)

Answer:

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Step-by-step explanation:

Given that:

Price per yard of satin fabric = $8.09

Yards of satin fabric bought = s

Price per yard of cotton fabric = $3.79

Yards of cotton fabric bought = c

Let,

Y be the total cost.

Y = 8.09s + 3.79c

Hence,

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Answer:

cuz i am batman hahahhaahhahah

Step-by-step explanation:

Step-by-step explanation:

Answer:

a=-32 if you think that was a good answer pls mark as brainliest

Step-by-step explanation:

a-(-14) is the same as a+14

a+14=-18

a=-32

Answer:

the answer is 7

Step-by-step explanation: