Name and describe two theorems that you can use to prove two triangles are congruent?

Answer:

25/60

Step-by-step explanation:

Numerator = n

[tex]\frac{n}{2n + 10} = \frac{5}{12}[/tex]

Cross multiply:

n * 12 = (2n + 10) * 5

12n = 10n + 50

12n - 10n = 10n + 50 - 10n

2n = 50

n = 25

Fraction = [tex]\frac{25}{60}[/tex]

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Answer:

25/60

Step-by-step explanation:

Study Island:)

Step-by-step explanation:

according to question let 2a and 5a be the given rations

2a/ 5a given fraction

2a-2/5a-2

Step-by-step explanation:

you're just going to switch x and y and then solve for y

Answer:

Hello,

Step-by-step explanation:

The problem is that the inverse function is not a function but

an union of 2 functions.

[tex]y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\[/tex]

For the fun

,[tex]f_1(x)= (x+6)^2+1=0\ if\ x<6\\f_1^{-1}(x)=-6-\sqrt{x-1} =0\ if\ x<6\\\\f_2(x)=(x+6)^2+1=0\ if\ x \geq 6\\\\f_2^{-1}(x)=-6+\sqrt{x-1} =0\ if\ x\geq 6\\[/tex]

Answer:

14x-42

Step-by-step explanation:

7(2x-7+1 )

7(2x-6)

14x-42

Answer:

B

Step-by-step explanation:

b is the symbol for the side opposite angle B. c is the symbol for the side opposite Using the notation in the above triangles

The triangle that is cos b = 0.8 is triangle d.

The triangles in the diagram are right triangle. Right triangles are triangles that have an angle that is 90 degrees. The sum of angles is 180 degrees.

In order to make use of cos, the value of the adjacent and the hypotenuse would be needed.

Cos = adjacent / hypotenuse

Triangle A:

The value of the adjacent side would be determined using pythagoras theroem

5² - 4²

= 25 - 16

= √9 = 3

Cos B = 3/5 = 0.6

Triangle B:

Cos B = 5/8 = 0.625

Triangle C:

Value of the hypotenuse = 4² + 5²

16 + 25

√41 = 6.4

Cos B = 4/6.4 = 0.62

Triangle D:

Cos B = 4/5 = 0.8

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Answer:

There are 3 possible values for a.

Step-by-step explanation:

a/b=2/3

3a=2b

If b>5 and b<13

apply all possible values

b=6 -> 3a=12 ==> a=4 1st possibility

b=7 -> 3a=14 ==> a=4.something Not a possibility

b=8 -> 3a=16 ==> a=5.something Not a possibility

b=9 -> 3a=18 ==> a=6 2nd possibility

b=10 -> 3a=20 ==> a=6.something Not a possibility

b=11 -> 3a=22 ==> a=7.something Not a possibility

b=12 -> 3a=24 ==> a=8  3rd possibility

Answer:

Hello,

[tex]316^2=99856[/tex]

Step-by-step explanation:

Since

[tex]\\\sqrt{99999} =316,22618...\\\\The\ largest\ 5\ digit\ number\ which\ is\ a \ perfect\ square\ is\ 316^2=99856}\\[/tex]

Answer:

The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz

Step-by-step explanation:

The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s

The number of beats in 6.0 s = 24 beats

Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz

Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;

f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz

We have;

[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]

[tex]\pm f_{beat} = f_2 - f_1[/tex]

Therefore, we get;

[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]

f₂ - 512.82 = ± 4

∴ f₂ = 512.82 ± 4

The possible frequencies of the guitar string,  f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

Answer:

0.026

Step-by-step explanation:

6 out of 10 steps between 0.02 and 0.03.

Answer:

I think the shape above has an order of 5 because it has a reflectional symmetry of 5.

I hope this helps

Answer:

[tex]\sqrt{193}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

a = 7

b = 12

[tex]7^{2} + 12^{2}[/tex] = 193

Answer:

centre = (- 1, - 2 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 2x + y² + 4y = 20

To obtain equation in standard form use method of completing the square

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4

(x + 1)² + (y + 2)² = 25 = 5² ← in standard form

with centre = (- 1, - 2 ) and r = 5

Answer:

y = 0.4x^2 + 3.4x + 4

Step-by-step explanation:

The coordinates (-5,-3) work with this equation. Please give brainliest, I need 1 more to move on to the next tier.

Answer:

2nd option

Step-by-step explanation:

putting x = 1 in the 3rd option,

0.4+3.4+4 = 7.8

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

Answer:

a

Step-by-step explanation:

all angles of an equilaterall triangle are equal therefore 180÷3 = 60

Answer:

521.25

Step-by-step explanation:

the circle is 78.75 in area and the square is 600 so 600- 78.75 = 521.25

Answer:

option E is the correct answer

Answer:

A and B

Step-by-step explanation:

When S is positive S equals itself but when S is a negative number S turns postive

Example of positive is √7^2=7

example of negative number for S is √-9^2=9 NOT -9

Answer: 135

Step-by-step explanation: Write 150% as 150/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 150/100 of 90= 150/100 X 90

Therefore, the answer is 135

If you are using a calculator, enter 150÷100×90 which will give you 135 as the answer.

150 percentage of 90 is 135 which we obtained by multiplying 1.5 with 90.

"Percent" means "per hundred," so when we say "150%," it means 150 per hundred or 150 out of 100.

To find 150% of 90, we can use the following formula:

150% of 90 = (150/100) × 90

Convert 150% to a decimal.

To do this, divide 150 by 100:

150/100 = 1.5

Multiply the decimal value by 90:

1.5 × 90

= 135

So, 150% of 90 is 135 which means that 135 is 150% of 90, which is equivalent to saying that 135 is 1.5 times larger than 90.

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Must click thanks and mark brainliest

Answer:

soln:

(5.5 × 107)

(3.2 × 10')

+ 2 × 105

_______________

8.8. ×.1011

Step-by-step explanation:

Hi there!

Given;

= 5(π\6)

We have;

π = 180°

Keeping value of π in the question;

= 5(180°/6)

= 5*30°

= 150°

Therefore, answer is option B.

Hope it helps!

Answer:

9 grams of paint

Step-by-step explanation:

6×8=48

48÷4= 12

48-12=36

36÷4=9

first multiply 6 by 8 because a cube has six faces and you cut that cube eight times

second after you cut that you will have 48 faces and for every six faces there are 4 grams of paint so you divide 48 by 4 and you get 12 this means that 12 of the faces are painted

next you subtract 12 from 48 and you get 36 this means that 36 faces are not painted

lastly you divide 36 by 4 and you will get 9 grams of paint

Answer:

Step-by-step explanation:

I think the best way to do this is to find B using the cos law. The two other angles are equal

b = 3sqrt(3)

a = 3

c = 3

b^2 = a^2 + b^2 - 2ab*cos(B)

(3sqrt(3)^2 = 3^2 + 3^2 - 2*3*3 * cos(B)

27 = 9 + 9 - 18*cos(B)

27 = 18 - 18*cos(B)

9 = - 18*cos(B)

9/-18 = cos(B)

-1/2 = cos(B)

B = cos-1(-1/2)

B = 120

<A + <C + 120 = 180

<A = <C

2A + 120 = 180

2A = 60

A = 30

The question says angle A so that's what I did.

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]

Then in our case, the solutions will be:

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.

Answer:

SSS

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

Step-by-step explanation:

I got 12 so not sure.

3x-3=x+3

2x=6

X=3

So 3x3 =9. +3. =12

Answer:

88

Step-by-step explanation:

that's what I got and it was right

Using the theorem of the vertical line test, the graph c represents a function

For a graph to represent a function, the graph must pass the vertical line test

The above means that each x value must point to exactly one y value

Using the above as a guide, we can conclude that the graph c represents a function

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