What reason could you use in a proof to prove two triangles are congruent by SSS?

Answer:

θ = 36.9°, 90°, 216.9°, or 270°

Step-by-step explanation:

4 sin 2θ − 3 cos 2θ = 3

Use double angle formulas:

4 (2 sin θ cos θ) − 3 (cos²θ − sin²θ) = 3

8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3

Use Pythagorean identity:

8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 (sin²θ + cos²θ)

8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 sin²θ + 3 cos²θ

8 sin θ cos θ − 6 cos²θ = 0

2 cos θ (4 sin θ − 3 cos θ) = 0

2 cos θ = 0

θ = 90° or 270°

4 sin θ − 3 cos θ = 0

4 sin θ = 3 cos θ

tan θ = 3/4

θ = 36.9° or 216.9°

Four Times you'd say it

The numbers where there are 3 digits from 0 to 40 are

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

The digit 3 will be written thirteen times.

It is the way of representing numbers on a line where there is an equal unit between each number.

We have,

Numbers from 0 to 40.

There is always a digit 3 in every ten consecutive numbers.

From 0 to 40 we have 4 ten consecutive numbers.

- 0 to 10

- 10 to 20

- 20 to 30

- 30 to 40

3, 13, 23, and 33. _____(1)

There is a digit of 3 in all the consecutive numbers from 30 to 39.

i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)

From (1) and (2) we have,

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

Thus,

The digit 3 will be written thirteen times.

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Answer:

no

Step-by-step explanation:

the sum of 4+7+9+12=32

32/4= 8

8 is not part of the sequence. Therefore its not arithmetic.

Answer:

Team score in first game < 19

Step-by-step explanation:

Point Scored in Third Game =X

Points Scored in First Game = X+6 (6 more than third game)

Points Scored in Second Game = 23

Total Points ={( First Game) +( Second Game) + (Third Game)} < 55

                      { ( X+6) + (23) + (X)} < 55

                       X+29+X < 55

                       2X+29 < 55

                       2X< 55-29

                       2X < 26

                         X <26/2

                         X<13

So the point scored in First game is: (X+6)

Where X < 13

So the point in First game is < 19

Answer:

5(5v+4)=17v+8v+9+9

25v+20=25v+18

25v-25v=18-20

0v=-2

i think soooo

this question is very very irrelevant

Step-by-step explanation:

Answer:

Step-by-step explanation:

whats the equation?

Answer:

The gas can for $2.40

Step-by-step explanation:

Because if you buy twelve gallons it will only be 28.80 instead of buying the 12 gallon tank for $33.39

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

∴ m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

∴ m∠1 + 117 = 180

→ Subtract 180 from both sides

∴ m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

∴ m∠3 + 93° = 180°

→ Subtract 93 from both sides

∴ m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

   of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

∴ 49° + m∠4 = 93°

→ Subtract 49 from both sides

∴ m∠4 = 44°

Answer:

π/2 = 90°

Step-by-step explanation:

Given that,

Radian measure = π/2

The formula used to convert radian measure to degree measure is given by :

[tex]\text{Degrees}=\dfrac{180^{\circ}}{\pi}\times \text{radians}\\\\=\dfrac{180^{\circ}}{\pi}\times \dfrac{\pi}{2}\\\\=90^{\circ}[/tex]

So, the degree matches for π/2 is 90°.

i've considered it, ty

Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation  =  

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 180

Answer:

1st answer is correct y=(1/2)x+2

Step-by-step explanation:

Answer:

El Perímetro de un hexágono es igual a la suma de todos sus lados.

Step-by-step explanation:

el perimetro siempre es la suma de los lados de cualquier figura

Answer: For Plato users

Step-by-step explanation:

X = -28 ,-9 ,-2 ,-1 ,0

f^-1(×) = -2 , -1 , 0, 1, 2

Just flip the x and y

Just took the test .

Inverse of a function is reverse mapping (if possible). The completed table would look like as shown below:

Suppose that the given function is [tex]f: X \rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function(a needed condition for inverses to exist), then, the inverse of the considered function is [tex]f^{-1}: Y \rightarrow X[/tex] such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex] (and vice versa).

It simply means,inverse of 'f'  is undo operator, that takes back the effect of 'f'

Inverse of inverse function is function itself.

For the given case, if the function (take x = -2) maps x = -2 to f(x) = -28, then the inverse of this function will take back -28 to -2.

This logic tells us that:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

(x simply denotes input). For inverse function, those values which were outputs of [tex]f(x)[/tex]  are now going to serve as input to inverse of [tex]f(x)[/tex] which is [tex]f^{-1}(x)[/tex]

Thus, the completed table would look like:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

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Answer:

5 thousand and 5 hundred.  

Step-by-step explanation:

Answer:

uno dos tres

Step-by-step explanation:

Answer:

Step-by-step explanationfor changing °F to °Cuse the formula

°C=(F-32)5/9

=(88-32)5/9

=56×5/9

=280/9

=31.11

So the value of nearest tenth is 31°c

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

Answer:

10,800

Step-by-step explanation:

9,000+ 20%= 10,800

Answer:

$33.48

Step-by-step explanation:

Answer:

C. 105°

Step-by-step explanation:

The  measure of <1 is 105.

Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions. Two straight lines are said to be parallel if their slopes are equal and they have different y-intercepts. Given below are a few important properties of parallel lines that actually reflect the characteristics of parallel lines.

For the parallel lines cut by a transversal, the following properties hold true:

Given:

<4 + <5 = 150 (given)

As, from the figure

<4 = <5  (alternate exterior angle)

Then,

<4 + <4 = 150

2<4 = 150

<4 = 75

and <5 = <4 = 75

Now, <1 + <5 = 180  (linear pair)

<1 + 75 = 180

< = 180 -75

<1 = 105

Hence, the measure of <1 is 105

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Hello!

Slope formula:

y2-y1/x2-x1

y2: 8

y1: 1

x2: -7

x1: -6

Plug given values into the equation:

8-1/-7 - (-6)

Subtract

7/-1

Divide

-7

The slope is -7

Answer:

-7

Step-by-step explanation:

Since we have 2 points, we can use the slope formula

m = ( y2-y1) /(x2-x1)

    = ( 8-1)/( -7 - -6)

   = ( 8-1) / ( -7+6)

   = 7/ -1

  = -7

Answer:

3.6 × 10^9

Step-by-step explanation:

When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.

Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )

( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9

Answer:

ENGLISH PLZ

Step-by-step explanation:

I CANT UNDERSTAND spanish

Answer:

x = 2

Step-by-step explanation:

-1.5x + 33 = 30

-1.5x = 30 - 33

x = -3 / -1.5

x = 2

Answer:

the first person gave u the right answer so head on ur going to get it right. wish u well

Answer:

7.2 inches

Step-by-step explanation:

Pythagorean Theorem

a

You've been given the longest side = 14 and the side of the triangle = 12,

Do [tex]14^{2} - 12^{2}[/tex], which will give you an answer of 52.

After doing this since you're calculating a side and you've been given the longest side already it can't possibly be an answer of 52.

Square root 52 and you'll get 7.2.

Your answer should be 7.2 inches.

Answer:

100 + 80

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2x2 = 4

3x2 = 6

Answer:

2

Step-by-step explanation:

on edg 2020 lol

Answer:

the person above is correct

Step-by-step explanation:

i got it right on edge