can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs

The probability of rolling an odd number is 9/19.

According to the statement

Total number of possible outcomes = 38

Odd numbered of outcomes = 18

Now we find the probability

Probability = possible outcomes / total outcomes

Probability = 18/38

Probability = 9/19

So, The probability of rolling an odd number is 9/19.

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Answer:

[tex]T_{23}=-153[/tex]

Step-by-step explanation:

[tex]T_{23}=a+(n-1)d\\[/tex]

[tex]=a+(23-1)d=a+22d[/tex]

Now [tex]a=-21[/tex] and

[tex]d=-27-(-21)\\=-6[/tex]

So [tex]T_{23}==21+((22)6\times-1)[/tex]

[tex]=-153[/tex]

In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD

An equation is an expression that shows the relationship between two or more numbers and variables.

A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, equilateral and scalene.

In the diagram shown:

AB = AC = AD

In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD

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The value of x from the given triangle is 32√3/3

In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.

sin 60 = 8√2/H

H = 8√2/sin60

H = 8√2 * 2/√3

H = 16√2/√3
H = 16√6/3

For the value of x, we will use the expression

sin45 = (16√6/3)/x

1/√2 = 16√6/3x
3x = 16√12
3x = 32√3

x = 32√3/3

Hence the value of x from the given triangle is 32√3/3

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The quotient of the polynomial exists 5x+6 + (4 / x+6).

The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).

Given: (5x²+36x+40)/(x+6)

(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)

Dividing the above equation

(6x+40) / (x+6) = 6+(4 / x+6)

Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)

The quotient of the polynomial exists 5x+6 + (4 / x+6).

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Simple Random sampling

Meaning:

Simple random sampling is a type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected.

For example, if you randomly select 1000 people from a town with a population of 100,000 residents, each person has a 1000/100000 = 0.01 probability. That's a simple calculation requiring no additional knowledge about the population's composition. Hence, simple random sampling.

Advantage:

Simple random sample advantages include ease of use and accuracy of representation. No easier method exists to extract a research sample from a larger population than simple random sampling.

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It will take 16hr 30min for Mrs. Smith to catch up.

Let,

t + 3 = Time of Mr. Smith

t = Time of Mrs. Smith

v1 = 55 mph the speed of Mr. Smith

v2 = 65 mph the speed of Mrs. Smith

Formula: Distance = speed × time

v1 ( t + 3)  = v2t

55 ( t + 3 ) = 65t

65t = 55t + 165

65t - 55t = 165

10t = 165

t = 16.5 hr

t = 16 hr 0.5 × 60 min

t = 16 hr 30 min

Therefore, it will take 16hr 30min for Mrs. Smith to catch up.

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The bag that has more fruits is the second bag, because the ratio is greater.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Number of fruits in the first bag : (3/8) x 60 = 22.50

Number of fruits in the second bag :(7/17) x 60 = 24.71

Here is the complete question:

Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag:3 5 Ratio of fruit to nuts in the second bag:7 10 Which bag has more fruit? Use the ratios to justify your answer. The first bag, because the ratio is greater. The first bag, because the ratio is smaller. The second bag, because the ratio is greater. The second bag, because the ratio is smaller.

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Answer:

Answer:The chocolate are 0.0042 lighter than the stated on the label

Answer:

6

Step-by-step explanation:

[tex]\frac{y}{2} =x^{2} -7[/tex]

[tex]\frac{a}{2} =2^{2} -7[/tex]

[tex]\frac{a}{2} =-3[/tex]

[tex]a=-6[/tex]

[tex]\frac{b}{2} =1^{2} -7[/tex]

[tex]\frac{b}{2} =-6[/tex]

[tex]b=-12[/tex]

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.

[tex]-6=2m+b[/tex]        

[tex]-12=m+b[/tex]

[tex]-24=2m+2b[/tex]

[tex]18=-b[/tex]

[tex]b=-18[/tex]

[tex]-12=m-18[/tex]

[tex]m=6[/tex]

Therefore, the slope of line l is 6.

Answer:

slope = 6

Step-by-step explanation:

substitute the given points into the equation of the curve to find a and b

(2, a )

[tex]\frac{a}{2}[/tex] = 2² - 7 = 4 - 7 = - 3 ( multiply both sides by 2 to clear the fraction )

a = - 6

then point (2, a ) = (2, - 6 )

(1, b )

[tex]\frac{b}{2}[/tex] = 1² - 7 = 1 - 7 = - 6 ( multiply both sides by 2 )

b = - 12

then point (1, b ) = (1, - 12 )

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 6 ) and (x₂, y₂ ) = (1, - 12 )

m = [tex]\frac{-12-(-6)}{1-2}[/tex] = [tex]\frac{-12+6}{-1}[/tex] = [tex]\frac{-6}{-1}[/tex] = 6

Answer:

M: 74.579° = 74°34'43" = 1.30164

O: 49.421° = 49°25'17" = 0.86256 rad

Answer:

[tex]\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}[/tex]

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

[tex]x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}[/tex]

Answer:

52 degrees

Step-by-step explanation:

Really easy, i learned it this summer

1. 180-128=52

2. 3=52 cus  alternate interior angles

The extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.

In the question, we are given a graph showing the bird population of a large lake and are asked the reason for the extreme drop between November and December most likely represent.

Birds migrate in order to shift from low-resource regions to high-resource areas or vice versa. The two main items sought after are food and places to build nests.

Thus, the fall in the graph for the number of birds between November and December represents the migration pattern of birds, in search of new resources.

Hence, the extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.

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Answer: A reflection of the migratory nature of the birds at the lake.

Answer:

option D

Step-by-step explanation:

[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]

LCM of  6 , 3 = 6

[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]

           [tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]

The inference that can be made from the dot plot is the range of each round is the same.

A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.

Range is the difference between the largest number and smallest number.

Range of round 1 = 8 - 5 = 3

Range of round 2 = 9 - 6 = 3

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Answer:  Choice C

Reason:

The curve is below the x axis on the interval [tex]-\infty < \text{x} < 3[/tex] which shortens down to the interval notation [tex](-\infty, 3)[/tex], so this is when f(x) < 0.

Answer:

the 50th percentile = 66

The 25th percentile = 35

The 75th percentile = 85

Step-by-step explanation:

 We have 11 numbers ,so we are dealing with an odd set of values.

Also ,we notice that the numbers are already in order.

then

the 50th percentile of the set  27, 34, 35, 48, 48, 66, 75, 85, 85, 96, 99

is the 6 number in the list [ 6 = (11+1)/2 ]

Which is 66.

The 25th percentile (the median) of the set 27, 34, 35, 48, 48

is the 3rd number [ 3 = (5+1/)2 ]

Which is 35.

The 75th percentile (the median) of the set 75, 85, 85, 96, 99

is the 3rd number [ 3 = (5+1/)2 ]

Which is 85.

The value of X is 2/3 and -3/2.

According to the statement

we have given equation is 6x^2+5x-6 =0

and we have to find x by the factorization.

Factorization defines the the operation of resolving a quantity into factors.

So, by factorization method the equation is written as

6x^2+5x-6 =0

After forming factors the equation becomes

6x^2+9x-4x-6 =0

3x(2x+3) -2(2x+3) =0

By taking common

(3x-2) (2x+3) = 0

Now equate values equal to 0. and after that the output will get in the form of value of X.

Here the value of x is 2/3 and -3/2

So, the value of X is 2/3 and -3/2.

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Answer:

B. [tex]2^{-14}*5^{10}[/tex].

Step-by-step explanation:

Use the power of a power property.

[tex](2^{-7}*5^{5} )^{2}[/tex]

Multiply all the exponents in the parenthesis by 2.

[tex](2^{-7}*5^{5} )^{2}=(2^{-14}*5^{10} )[/tex]

The answer is B. [tex]2^{-14}*5^{10}[/tex].

Hope this helps!

Mike brought $15 and Hallie brought $45 to the movie

There are many ways to define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

The value of the variable that makes the equation a true statement is the solution to the equation.

We have to find how much money Mike and Hallie brought to the movie.

Let the money Brought by Mike be $ m and by Hallie be $ h.

Mike and hallie are going to a movie. together they bring $60 in cash

m + h = $ 60.............(1)

Hallie brings three times as much cash as mike does

h = 3 m.......... (2)

Pur the value of h from equation (2) in equation (1)

m + 3 m = $ 60

4 m = $ 60

m = $ 60/4

m = $ 15

put this value of m in equation (2)

h = 3(15)

h = $ 45

Hence we created a system of equations that models the information given in this problem and Mike brought $15 and Hallie brought $45 to the movie

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The value of the probability P(A and B) is 0.12

The given parameters are

P(A) = 0.40

P(B) = 0.30

Given that the events are independent events;, we have:

P(A and B) = P(A) * P(B)

So, we have:

P(A and B) = 0.40 * 0.30

Evaluate

P(A and B) = 0.12

Hence, the value of the probability P(A and B) is 0.12

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The solution set of the inequality is x ≤ - 4. The graph of inequality is shown below and the points x = - 4, x = - 12, x = - 42 are part of the solution set.

In this question we must use algebraic axioms and theorems to solve an inequality and graph the solution set with the help of a graphing tool. Now we proceed to present the procedure to solve for x:

7 - 2 · x ≥ 15

7 - 15 ≥ 2 · x

2 · x ≤ - 8

x ≤ - 4

Now we present the graph of the inequality. The points x = - 4, x = - 12, x = - 42 are part of the solution set.

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The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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Answer:

a = (9,8)

b=(10,6)

c=(4,3)

Step-by-step explanation:

basically, you just take the original coordinates and add the translation to it.

so a was -1,6 so just at 10 to -1 as they are x coordinates nad add 2 to 6 because they are Y coordinates and you just do it for all of the points.

Answer: 14.353 or 18.647

Step-by-step explanation:

Hi.

Subtracting:

16.5 - 2.147 = 14.353

Adding:

16.5 + 2.147 = 18.647

Answer:

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

Answer:

57?

Step-by-step explanation:

Answer: A.  2x + 30 = 90

Step-by-step explanation:

You want to choose answer A because you know that together the section of 2x and the section of 30 equal 90 degrees (we know this because the other side shows the right angle which equals 90 degrees).

The equation 2x + 30 = 90 will be used to determine x so option (A) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given an angle with two participants, one is 2x and another one is 30°.

Now if we look right-hand side angle it is a right-angle i.e. 90°.

Since the complete angle above a straight line is 180°

So,

2x + 30 + 90° = 180°

2x + 30 = 90

Hence "The equation 2x + 30 = 90 will be used to determine x".

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