Determine if the following angles are congruent. What theorem proves them to be congruent. Explain your reasoning.

Answer:

[tex]y=(x-2)^2-1[/tex]

Step-by-step explanation:

Complete the square

[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]

The value of y from the given trig expression is pi/3 rad

These identities are expressed in terms of sine, cosine and tangent

Given the expression

[tex]sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx[/tex]

Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

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Answer:

The answer is pi/4

When you input all the other values into the equation, they aren't true. When you input pi/4 the equation is true.

Answer:

0

Step-by-step explanation:

evaluate 10 + (8÷4) - 12

Answer:

0

Step-by-step explanation:

First of all we need to divide then add then only subtract

Answer:

21

Step-by-step explanation:

Answer:

Median = 21

Step-by-step explanation:

Arrange in ascending order,

→ 11, 17, 25, 38

Now take the middle two,

→ 17 & 25

Then the median data will be,

→ (17 + 25)/2

→ 42/2 = 21

Hence, the median is 21.

Answer:

open your book and start reading, you should study before the open your book and find it yourself

If Point T is on the line segment S U, then ST + TU = SU, Hence the length of SU is 16.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

If Point T is on the line segment S U, then ST + TU = SU

Given;

S T = 6 and T U = 10

Substitute

SU = ST + TU

SU = 6 + 10

SU = 16

Hence the length of SU is 16.

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The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

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Answer:

I would say B.

Step-by-step explanation:

Perpendicular lines meet at a right angle.

Answer: B

Step-by-step explanation:

Answer: (36/4)+8

Step-by-step explanation: brainliest?

Answer:

36/4 +8 = 17

Step-by-step explanation:

thanks and brainliest

Answer:

Answer:y=-7

Step-by-step explanation:

When x=-4 then y=4 and if x=7 then y=-7

Because y=-x

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a  n-gon

   are equal to   ( n-2)*180

     for a pentagon   ( 5-2)(180) = 540

88+118+132+100 + x = 540          x= 102 deg

Answer:

C. 102 is correct

Step-by-step explanation:

just took test

Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

In this case, the value of that car depreciates based on the function f(t)=12,000×[tex]0.96^{t}[/tex] where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×[tex]0.96^{3/2}[/tex]

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

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Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Answer: 25x^2+15x-4

Step-by-step explanation:

Multply 5x by the other 5x

25x^2

Multiply 5x by 4

20x

Multiply -1 by 5x

-5x

Multiply -1 by 4

-4

Add them together

25x^2+20x-5x-4

Combine like terms

20x-5x=15x

25x^2+15x-4

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

[tex] \rm \: Diameter = 2(r)[/tex]

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Answer:

The answer to the question is C

Step-by-step explanation:

as the question state that 1.9 is subtracted from the 7.4×3 so tge 1.9 will be removed ffrom it .

Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:

[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]

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Answer:

1. 90

2. 120

3. 30

4. 60

Step-by-step explanation:

Hope it helps

Answer:

permutation is multiplying numbers from the number given to its last end. so that 9*8*7*6*5*4*3*2*1=is answer. thesame for 12!

Answer:

9! = 362,880

12!=479,001,600

Step-by-step explanation:

the symbol ! simply means factorial

9! = 9×8×7×6×5×4×3×2×1= 362,880

12! = 12×11×10×9×8×7×6×5×4×3×2×1=479,001,600

Step-by-step explanation:

here ,

[tex]cosec \alpha = \frac{1}{ \sin( \alpha ) } [/tex]

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

[tex] \frac{1}{ \sin(2) \frac{1}{2} - \cos(2) \frac{1}{2} } = 2[/tex]

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

Answer:

180 inches

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.

Answer:

27 Units

Step-by-step explanation:

To find the distance using x and y components, use the Pythagorean theory [tex]a^2 + b^2 = c^2[/tex]. Set a as your x-coordinate and b as your y-coordinate (although you can flip them if you so desire). The result will you the square of your distance, so take the square root.

Alternatively, we can solve for C and find that [tex]c = \sqrt{a^2 + b^2}[/tex] or in this case [tex]distance = \sqrt{-25^2 + 10^2}[/tex].

This shows us that distance = 26.93 which is close enough to 27.

For more information: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) The Set which represents the integers is in the third option.

{.....,-3,-2,-1,0,1,2,3......}

B.) The property that is shown is option B, the cumulative property of multiplication.

C. The expression can be rewritten as,

4(x+5)-3(x+2) = 14

4x + 20 - 3x - 6 = 14

Thus, the correct option is the first option.

D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,

(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)

Thus, the correct option is C.

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Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

=============================================================

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

⇒ x = -3

============================================================

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

⇒ y = -10

============================================================

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

Some points has already been found

Graph attached

Solution is

See the attached files!!!!

Answer:

(5, 1 ) and (3, 1 )

Step-by-step explanation:

2x - 3y = 7 → (1)

- 3x + 7y = - 8 → (2)

multiplying (1) by 3 and (2) by 2 and adding will eliminate x

6x - 9y = 21 → (3)

- 6x + 14y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x - 3(1) = 7

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

solution is (5, 1 )

------------------------------------------------------------

4x - 3y = 9 → (1)

2x + 3y = 9 → (2)

adding the 2 equations term by term will eliminate y

6x + 0 = 18

6x = 18 ( divide both sides by 6 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + 3y = 9

6 + 3y = 9 ( subtract 6 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (3, 1 )