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The triangles shown in the graph are congruent. Based
on the graph, determine which congruency statement
is correct.
O AXYZ ALGM
O AZYX ALGM
O AXZY ALGM

Step-by-step explanation:

To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).

Here, the curly brackets act as parenthesis, so we solve that first.

• 3 + 7 = 10

Then, we multiply by 4.

• 10 • 4 = 40

Finally, we add 6 to 40.

• 40 + 6 = 46.

Our final answer: 46

Answer:

46

Step-by-step explanation:

We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

[tex]6+4 * (3+7)[/tex]

Solve inside the parentheses. Add 3 and 7.

⇒3+7=10

[tex]6+4*(10)[/tex]

Multiply 4 and 10.

⇒4*10=40

[tex]6+40[/tex]

Add 6 and 40.

⇒6+40=46

[tex]46[/tex]

When the expression 6+4*(3+7) is evaluated, the result is 46.

Answer:

  7/3

Step-by-step explanation:

The distances have the ratio ...

  (Q -P) = (2/3)(R -P)

  Q = P +(2/3)R -(2/3)P = (2R +P)/3

  Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3

When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Number of coins flips by Lisa = 2,

To find the probability of obtaining two tales,

The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}

The tale on both coins can come one time.

So the probability = number of favorable outcome / total observation

                              = 1 / 4

The required probability of obtaining two tails is 1 /4.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ3

Answer:

Yes, 50 square root plus 2 square root irrational

[tex] 6\sqrt{2}[/tex]

Step-by-step explanation:

[tex] \sqrt{50} + \sqrt 2[/tex]

[tex]= \sqrt{25\times 2} + \sqrt 2[/tex]

[tex]= 5\sqrt{2} + \sqrt 2[/tex]

[tex]= 6\sqrt{2}[/tex]

Since, [tex]\sqrt{2}[/tex] is irrational.

Therefore, [tex] \sqrt{50} + \sqrt 2[/tex] is also irrational and

[tex] \sqrt{50} + \sqrt 2=6\sqrt{2}[/tex]

Answer: x^2+4x+3

Step-by-step explanation:

f(g(x)) >>> replace the g(x) with the given information

f(x+2) >>> replace every (x) in the given f(x) with (x+2)

(x+2)^2-1 >>> foil it out

x^2+4x+4-1 >>> simplify

x^2+4x+3 >>> ANSWER!! :)

Answer:

18

Step-by-step explanation:

The triangle on the left is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :     √3         :            2

The short leg of the left triangle is half the hypotenuse.

12√6 / 2 = 6√6

The long leg of the left triangle measures √3 times the short leg.

6√6 * √3

The triangle on the right is a 45-45-90 triangle.

The ratio of the lengths of the sides is:

short leg  :   long leg   :    hypotenuse

    1           :         1         :            √2

The length of the leg is the length of the hypotenuse divided by √2.

6√6 * √3 / √2 = 18

Answer:

Step-by-step explanation:

Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;

Length of an arc = θ/360 * 2Πr  where r is the radius of the circle.

Given r = 10m and length of the arc = 15m

On substituting;

15 =  θ/360 * 2π(10)

15 = θ/360 * 20π

θ/360 = 15/20π

θ/360  = 0.2387

θ = 360* 0.2387

θ = 85.9°

Hence Maple street is at 85.9° to Elm street.

Answer:

[tex]\approx \bold{85.98^\circ}[/tex]

Step-by-step explanation:

Given that

Radius of circle = 10 metres

Bryan drives 15 metres around the circle.

To find:

The angle of Maple street to Elm street = ?

Solution:

Kindly refer to the image attached.

The Elm street meets the circle at A.

Maple street at B.

Given that arc length AB = 15m

Radius of circle = 10 m

We have to find the angle of arc.

Let us use the formula:

[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]

Converting to degrees:

[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]

Answer:

Step-by-step explanation:

hello :

x-32>32+9x

means : x-9x>32+32

-8x >64

dvid by :8        -x >8  .......continu

Answer:

[tex]\large \boxed{\mathrm{see \ below}}[/tex]

Step-by-step explanation:

13 upon 5 is 13/5

13/5 in decimal form is 2.6

11 upon 6 is 11/6

11/6 in decimal form is 1.833333...

17 upon 8 is 17/8

17/8 in decimal form is 2.125

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

Answer:

heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}

Step-by-step explanation:

in short, the answer is

A.

C.

D.

i hope you do good on your test !!

-cookie <3

Essentially any like term is a variable with the same letter at the end or the same letter and power.

In this equation, we are given:

They are all different, so there are 3 different terms in the equation

Best of Luck!

Answer:

12+5

Step-by-step explanation:

negative times negative is postive

Answer: b/a = -8

Step-by-step explanation:

When we have a quadratic equation:

y = a*x^2 + b*x + c.

The vertex of this function (and the axis of symetry) is located at:

x = -b/2a

Now, we know that the axis of symmetry is at x = 4.

then we have:

4 = -b/2a

And we want to find b/a.

Then we start with:

-b/2a = 4.

first we multiply by 2 in each side:

2*(-b/2a) = -b/a = 2*4 = 8.

now we multiply by -1 in each side:

-1*(-b/a) = b/a = -1*8.

Then we have: b/a = -8

Answer:

4260

Step-by-step explanation:

Answer:

4260

Step-by-step explanation:

Answer:

-22/3

Step-by-step explanation:

-22/3 is the answer as a improper fraction.

Step 1

Multiply the denominator by the whole number

3 × 7 = 21

Step 2

Add the answer from Step 1 to the numerator

21 + 1 = 22

Step 3.

Write answer from Step 2 over the denominator

22/3

Answer:

-22/3

Step-by-step explanation:

7x3= 21

Answer:

B)

Step-by-step explanation:

6 + 4*5 = 6 + 20

             = 26

According to BODMAS, multiplication should be done and then addition

Answer:

B

Step-by-step explanation:

By pemdas - multiplication first

6+4x5

6+(20)

so, b - 6 + 20 is the answer

Answer:

B. -1

Step-by-step explanation:

examples:

1 and -1

1/2 and -2

Answer:

B=-1

Step-by-step explanation:

diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.

example if the slope line AC =3

the slope of BD=-1/3

-1/3*3=-1

Step-by-step explanation:

1. 6 factors of 2 means, 2 multiplied by itself 6 times.  It can be written in the form of exponents as 2⁶.

2. [tex]2^m{\cdot} 2^n[/tex]

The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]

So,

[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]

The correct option is (A).

3. If the power of any number is 0, then the value of that number is equal to 1.

So,

[tex]23^0=1[/tex]

Hence, this is the required solution.

Answer: Distributive Property

Step-by-step explanation:

[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]

Answer:

The quantity of acid in the solution is 47.1 ml.

Step-by-step explanation:

Answer: D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Step-by-step explanation:

The given sequence:  [tex]4, -2,1,\dfrac{-1}{2},\dfrac14,....[/tex]

Here, first term: [tex]f(1)=4[/tex]

Second term: [tex]f(2)=-2[/tex]

Third term : [tex]f(3)=\dfrac{-1}{2}[/tex]

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: [tex]r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

So, [tex]f(n+1)=\dfrac{-1}{2}f(n)[/tex]  [as in G.P. nth term= [tex]a_{n+1}=ar^n[/tex]]

Hence, correct option is D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Your question has been heard loud and clear/

we know,

4cos³x = 3cosx + cos3x

put here, x = 20°

then, 4cos³20° = 3cos20° + cos3 × 20°

= 3cos20° + cos60°

cos³20° = (3cos20° + cos60°)/4 -------(1)

similarly ,

4sin³x = 3sinx - sin3x

put here, x = 10°

4sin³10° = 3sin10° - sin30°

sin³10° = (3sin10° - sin30°)/4 -----------(2)

now,

LHS = cos³20° + sin³10°

put equations (1) and (2)

= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)

= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)

we know,

cos60° = sin30° = 1/2

= 1/4 ( 3cos20° + 3sin10°)

= 3/4(cos20° + sin10°) = RHS

hence proved

Thank you

Answer:  see proof below

Step-by-step explanation:

Use the following identities & Unit Circle calculations:

 4cos³x = 3cos x + cos 3x

--> cos³x = (1/4)[3cos x + cos 3x]

 4sin³x = 3sin x - sin 3x

--> sin³x = (1/4)[3sin x - sin 3x]

cos 60° = sin 30° = (1/2)

Proof: LHS → RHS

Given:                          cos³ 20° + sin³ 10°

Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]

Simplify:                      (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]

                                   (1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]

                                   (1/4)[3cos 20° + 3sin 10°]

Factor:                         (3/4)[cos 20° + sin 10°]        

Proven:  (3/4)[cos 20° + sin 10°]  = (3/4)[cos 20° + sin 10°]    [tex]\checkmark[/tex]

1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

Step-by-step explanation:

Taking LHS of the identity:

(a + b +c)2

This can also be written as:

= (a + b + c) (a + b + c)

Multiply as we do multiplication of trinomials and we get:

= a(a + b + c) + b(a + b + c) + c(a + b + c)

= a2 + ab + ac + ab + b2 + bc + ac + bc + c2

Rearrange the terms and we get:

= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac

Add like terms and we get:

= a2 + b2+ c2 + 2ab + 2bc + 2ca

Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Answer:

6(x^2)

Step-by-step explanation:

The square of a number is x^2 and then you multiply that by six so it has to have parenthesis

Hey mate!

Question:

5x – 1 = x+ 27

Answer:

x=7

Step-by-step explanation:

Step 1:

5x-x=27+1

Step 2:

4x=28

step 3:

x=28÷4

step 4:

x=7

hope it helped you:)

Answer:

For domain,

9-x2>=0

or,(x+3)(x-3)<=0

using wavy curve method,we get

Domain=[-3,3]

As domain matches only in first option,so the correct option is option first

Answer:

a=16400 feet

Step-by-step explanation:

t = -0.0035 a +g

-17.40 = -0.0035 a+40

-17.40-40=-0.0035a+40-40

-57.40=-0.0035a

a = -57.40/-0.0035

a=16400 feet

Answer:

  8.2 million years

Step-by-step explanation:

The time can be found from ...

  time = distance/speed

  time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr

It will take about 8.2 million years for LA to have the same latitude as SF.

__

The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.