What is the real part of the difference? what is the imaginary part of the difference? i

B) <2≅<6

When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.

Defining a Corresponding Angle

Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.

Proving the Lines are Parallel

Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.

Process of Elimination

Additionally, we can prove that B is correct by proving that the other answers are incorrect.

A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.

C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.

D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.

Answer:

y = -3x + 10

Step-by-step explanation:

We write The slope-intercept equation of a line D Like this

D : y = mx+b    (where m is the slope and p is the y-intercept)

__________________________

According to the given information:

The slope = -3

Then ,the equation of our line is : y = -3x + p

Now we need to find p:

Since The point (4, -2) lie on the line

then

-2 = -3(4) + p

then

-2 = -12 + p

then

p = 12 - 2 = 10

Conclusion:

y = -3x + 10

Answer:

150 miles

Step-by-step explanation:

If they've completed 60% and have covered 90 miles

We can say

60% = 90 (miles)

We can work out 10% by dividing by 6 on both sides

10% = 15

100% is just 10 times larger

100% = 150

The trip (100% completion) is 150 miles

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

11

Answer:

r = 4.5 ft

Step-by-step explanation:

Circumference of circle = πd

πd = 9π ft

d = 9π ÷ π

d = 9 ft

Radius = d ÷ 2

            = 9 ÷ 2

            = 4.5 ft

Answer:

0.1042, 10.42%

A. 51

Step-by-step explanation:

Virtical angles are congruent

Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Formula

Solving :

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a  first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

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Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.

Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

The missing information, not present in this question are:

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Learn more about inverse trigonometric functions here:

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Answer:

option B

Step-by-step explanation:

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

So now

[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)[tex]\geq[/tex]3

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Answers 76:

Step-by-step explanation:

Answer:

Step-by-step explanation:

so cross divide so 5 and 2

Answer: it equals as a fraction 41/5 as a decimal equals 8.2

Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .

Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation is in the slope-intercept format of y=mx+b

In this format the slope is m

In this case m is [tex]\frac{3}{4}[/tex]

The picture isin't clear can you write it

Answer:

  f(7) = 1.08

Step-by-step explanation:

The recursive formula can be used with the given value to find the desired value.

__

Given:

  f(n) = 0.3×f(n-1) . . . . . where f(5) = 12

The next term in the sequence is ...

  f(6) = 0.3×f(5) = 0.3(12) = 3.6

  f(7) = 0.3×f(6) = 0.3(3.6) = 1.08

solution 1

[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]

[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]

solution 2

[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]

Answer:

Question 3) -- C -- 9  6/12

Question 4) -- C -- 4  3/12

Step-by-step explanation:

Hope this helps

Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

The term random samping is a sampling technique in which the participants are selected in a random manner from the population. The sample is selected in such a way that it is representative of the entire population.

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

Learn more about random sampling: https://brainly.com/question/12719656

#SPJ1

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)

Answer:

115

Step-by-step explanation:

Answer: 6, 6, 15, 6, 15, 12, 3 , 15, 1

Step-by-step explanation: I have shown in the file two ways to calculate HCF. That's the answer from 1-9 above.

An example with number 6.

36= 12×3

24=12×2

60=12×5
HCF is 12. The highest number that can divide them all

Answer:

The answer is C.

Step-by-step explanation:

(32-12)/2= 10

10+12= 22

Answer:

1 2 3

Step-by-step explanation: 1 times 18, 2 times 9, 3 times 6

Step-by-step explanation:

angle 3 = 58

so angle 5 = 58 too

angle 7 = 180 - angle5 - angle6

= 180- 58 -90

= 32 degree

Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct