How do I know AM is congruent to segment CM?

Answer:

b=204

Step-by-step explanation:

The law of sine states that: [tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: [tex]180-90-41=49[/tex]°.

Using these two things, we can come up with the equality [tex]\frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}[/tex], which we can use to solve for side b.

[tex]\frac{Sin90^o}{270} =\frac{1}{270}[/tex], so we know that [tex]\frac{1}{270} =\frac{Sin49^o}{b}[/tex].

Next, we would multiply both sides by b to get [tex]\frac{1}{270}b=Sin49^o[/tex].

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

The correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].

The complete question is attached with the answer below:-

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

As we can see from the figure that ∠L = 70 and ∠M = 20 We can see that the length LN will be calculated as:-

Cos 70 = Base / Hypotenuse

So for an angle of 70, the base is LN and the hypotenuse is equal to 8 units.

Cos 70 = LN = 8

Therefore the correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].

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Answer:

A & E

Step-by-step explanation:

Jus took it on edge

Answer:

7/10

Step-by-step explanation:

Answer:

term to term rule. • a rule that defines the value of each term in a sequence. if the previous terms are known, e.g. the Fibonacci sequence. xn = xn-1 + xn-1.

Step-by-step explanation:

To work out the term to term rule, give the first term and then the pattern. The first term is 17, and the pattern is to subtract 3 each time, so the term to term rule is 'start at 17 and subtract 3'. The next two terms of the sequence are 5 and 2, giving the sequence as: Question.

Answer:

5 units

Step-by-step explanation:

Use Pythagorean Theorem

x = 4 units     y = 3 units

4^2 + 3^2 = L^2

16 + 9 = L^2

L = 5

Answer:

5 units

Step-by-step explanation:

By the Pythagorean theorem:

c² = a² + b²

c = length of the line

a = 4

b = 3

Then:

c² = 4² + 3²

c² = 16 + 9

c² = 25

√c² = √25

c = 5

Answer:

24/25

Step-by-step explanation:

96%=0.96. 96/100=48/50=24/25

All options except Option D , a² + b²  , is the square of the binomial.

A polynomial that contains only two term is called a Binomial.

The sum of square of a binomial is the sum of square of the first term , square of second term and twice of the product of the first and second term.

(a+b)² = a² +b² +2ab

(a-b)² =  a² +b²-2ab

The options have to be broken down into this form to check whether they are square of a binomial

Option A : 4m² - 6mn + 9n² = (2m -3n)²

Option B:  16x² + 24xy + 9y²=(4x+3y)²

Option C : c²- 2cd - d²=(c-d)²

Option D : a² + b² cannot be written as the square of binomial.

All options except Option D is the square of the binomial.

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Answer:

s=0.20p

Step-by-step explanation:

20% off an product means to subtract 20% of the original price from the original price.

The correct answer is option D which is No because one x-value corresponds to two different y-values.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

We can see from the table that the value of x at 5 is giving two different values of y that is 2 and 3. For a function, it is not possible to have two different outputs for the same input.

Therefore the correct answer is option D which is No because one x-value corresponds to two different y-values.

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The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.

From the question, we have:

Andrea = h

Hannah = 3h

This means that:

Hannah = 3 * Andrea

So, the relationship is that Hannah sold three times as many tickets as Andrea.

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As the sample size increases, the margin of error decreases.

A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.

From the formula:

MOE = z × √σ²/n

Where

σ = standard deviation

z = quantile

n = sample size

MOE = margin of error

From the formula, sample size is inversely proportional to the margin of error.

Hence, as the sample size increases, the margin of error decreases.

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Answer:

13.5 inches

Step-by-step explanation:

3inches:10 miles

x inches: 45 miles

do cross multiply:

3*45=135

10*x=10x

so 135=10x

x=13.5 inches

Answer:

  D.  20 m

Step-by-step explanation:

The potential energy at Point B will be the sum of the potential and kinetic energies at point A.

__

For mass M, the potential energy at h meters above a rest height is ...

  PE = Mgh

The kinetic energy of mass M with velocity v is ...

  KE = 1/2Mv²

A pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...

  PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg

When the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...

  PE = Mgh

  196M J/kg = M(9.8 m/s²)h

  h = (196M)/(9.8M) m = 20 m

The height of the mass at point B will be 20 meters.

Answer:

8+3+7=18

probability of brown m&m is

[tex] \frac{3 }{18 } [/tex]

Answer:

make it more clear its not clear enough to understand the question

A. Distance between A and B is: 5 units.

B. Triangle ABC is not an equilateral triangle because only two of its sides are equal.

An equilateral triangle has three sides that have the same length.

Given the vertices with their coordinate points as:

A (-3, 2)

B (-6, -2)

C (0, -2)

Use the distance formula, [tex]d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find AB, BC, and AC:

AB = √[(−6−(−3))² + (−2−2)²]

AB = √25

AB = 5 units

BC = √[(−6−0)² + (−2−(−2))²]

BC = √36

BC = 6 units

AC = √[(−3−0)² + (2−(−2))²]

AC = 25

AC = 5 units

Only two of the sides of the triangle, AB and AC, are equal. Therefore, it is not an equilateral triangle.

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Answer:

Step-by-step explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0.

A line parallel to y=3x+6 will have the same slope, 3.

We can write y=3x+b.  Any value of b can be used to generate a parallel line.  

If we want that line to go through a specific point, such as (0,-2), we need to find a value of b that shifts the line so that it includes (0,-2).  This can be done by using that point in the equation y=3x+b:

y=3x+b

-2=3*(0)+b  for point (0,-2)

b = -2

The equation becomes y=3x-2

See the attached plot.

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

Do that same thing for the remaining two points.  

For B:  (2,5) The equation is y=3x-1

For C:   (4,1) The equation is y=3x-11

Answer: [tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

Step-by-step explanation:

this forms a 30 degree reference angle

and this is in the 4th quadrant

When the angle is 30 degrees, the coordinates are:

[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 330° and the radius is one. Then we have

x = 1 x cos 330°

x = (√3) / 2

y = 1 x sin 330°

y = - 1/2

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

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Based on the amount being deposited into the account each month, and the interest, the account will triple in value on 25 months..

First find the value of the account when tripled:

= 1,000 x 3

= $3,000

We can then use a spreadsheet to find the number of periods it will take to triple.

Convert the interest to a monthly figure as:

= 3.15% / 12

= 0.2625%

When you put the figures into the spreadsheet as shown, the number of months would be 25 months.

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Answer:

QR = 3

Step-by-step explanation:

given that Q is on the segment PR , then

PQ + QR = PR ( substitute values )

16 + QR = 19 ( subtract 16 from both sides )

QR = 3

The calculated length of the segment QR is 3 units

From the question, we have the following parameters that can be used in our computation:

Point Q is on line segment PR

PQ = 16 and PR = 19

using the above as a guide, we have the following:

PQ + QR = PR

substitute the known values in the above equation, so, we have the following representation

16 + QR = 19

So, we have

QR = 19 - 16

Evaluate

QR = 3

Hence. the length of the segment QR is 3

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The exact value of the y in the similar right triangle is 2.2360679775 units

The triangles are similar.

Similar triangles have corresponding sides of equal ratio.

The corresponding angles of similar triangle are equal.

Therefore, using similar ratio,

y / 5 = 1 / y

cross multiply

y × y = 5 × 1

y² = 5

square root both sides

y = √5

Therefore,

y = 2.2360679775 units

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Answer:

Step-by-step explanation:

Givens

Observe the small triangle at the right. The smallest side is one.

The hypotenuse is y

In the largest tringle, the hypotenuse is 5

The smallest side is y

You can set up a ratio for this situation

Equation

smallest side -  smallest triangle       Largrest triangel -- largest side

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

hypotenuse - smallest triangle            hypotenuse -- largest triangle

1/y = y / 5                   Cross Multiply

Solution

y^2 = 1*5                    Take the square root of both sides.

√y^2 = √5

y = √5

or

y =

Answer:

no real roots

Step-by-step explanation:

Find discriminant of quadratic equation:

A

= 62 - 4aC

2 Identify a,b,c

Identify a,b,c through coefficient:

a

b

C

6

= 12

8

Substitute and calculate

Substitute the value of a,b,c and calculate

discriminant (b2 - 4ac) :

-48

Determine number of solution Determine number of solution with

discriminant:

no real roots

5x² + 3x + 6 is the only trinomial from the given expressions

An expression is combination of variables, numbers and operators.

A trinomial is a polynomial with three terms. In the given options, we need to identify the expression that has exactly three terms.

√11x - 7, has two terms: √11x and -7.

It is not a trinomial because it doesn't have three terms.

x - 1, has two terms: x and -1.

It is not a trinomial for the same reason as option OA.

2x + 4, has two terms: 2x and 4.

It is not a trinomial because it doesn't have three terms.

5x² + 3x + 6, has three terms: 5x², 3x, and 6.

It fits the definition of a trinomial because it has three terms.

Therefore, 5x² + 3x + 6, as it is the only expression among the options that is a trinomial.

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Answer:

a, b, d, e

maybe c

Step-by-step explanation:

The data display that  is best for Anne's purpose is: D. a histogram, because the bars show the frequency of data points within different ranges.

Histogram is a graph that help to  the following into different rages

Based on the data given Anne should make us of histogram based on the fact that the graph shows the frequency of the data points that are within different ranges.

 Therefore the correct option is D.

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Answer:

X=-46

Step-by-step explanation:

-(-46-10)

-(-56)

56 degrees

Answer:

The first option

Step-by-step explanation:

the sign only flips when there is a negative number.

i hope this is correct

x = 6(√2)

Step 1:

Say, 6 is perpendicular and x is the hypotenuse.

Step 2:

As we know sine is the ratio of perpendicular and hypotenuse.

∴ [tex]sin 45 = \frac{perpendicular}{hypotenuse}=\frac{6}{x}[/tex] ......................................(1)

Step 3:

As we know, sin45 = 1/√2

∴ put the value in equation 1

⇒ [tex]\frac{1}{\sqrt{2}} = \frac{6}{x}[/tex]

By solving the above equation, we get,

x = 6(√2)

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Answer:

Step-by-step explanation:

equation of The line L : y = -(1/2)x + 6

A(8 , b) ∈ L  then b = -(1/2)(8) +6 then b = -4 + 6 = 2

Therefore ,

A(8 , 2)

AB = 2

CD = 6

BC = 8

…………………………………………

Area of the trapezoid ABCD

= (CB÷2)×(AB + CD)

= (8÷2)×(6+2)

= 32