Complete the two column proof.

Answers

Answer 1

Reason a) Alternate interior angles of parallel lines are congruent.

Statement b) Line RQ is congruent to line RQ.

Statement c) Angle PRQ is congruent to angle SQR.

Reason d) ASA Postulate

Related Questions

The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?

Answers

i believe the 3 consecutive odd numbers are 59,61, and 63

183/3 = 61 which is the middle odd number

you would then take the odd number below 61 and the odd number above 61 to equal 183

59 +61 +63 = 183

The radius of a circular Frisbee is 9.8 centimeters. Using rounding to the nearest whole number, what is an estimate for the circumference of this circle?
A. 50 cm B. 60 cm C. 65 cm D. 72 cm

Answers

The answer is B. 60 cm

A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain ?

A. The domain were only include integers.

B. The domain will only include positive integers.

C. The domain would include all real numbers.

D. The domain would only include positive numbers.

Answers

D. The domain would only include positive numbers

Answer:

Option: D is the correct answer.

D. The domain would only include positive numbers.

Step-by-step explanation:

Domain of a function--

It is the set of all the x-values or the values of the independent values for which the function is defined.

Here the function is used to represent the miles per gallon your car gets.

i.e. the independent variable is the number of gallons the car gets.

and the dependent variables is the number of miles covered by the car.

As the number of gallons of the car can't be negative or zero , it could be any positive number.

Hence, the domain would include any positive number.

what integer divided by six, less eighteen, is negative twenty-two?

Answers

Simplifying what you said in your question would be x/6 - 18 = -22.
Therefore, you can solve the equation by adding 18 to both sides: x/6 = -4
Now, multiply each side by 6: x = -24. Check your answer by substituting -24 into the original equation and you will get -24 = -24

Which is the best estimate of 54 times 68

Answers

54x68 estimated would be 50x70 so your answer would be 3,500

Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? 2x = -50 2x + 1 = -50 2x + 2 = -50 x2 + 1= -50

Answers

consecutive even integers are 2 apart

so they are x and x+2

their sum is x+x+2

the sum is -50

so x+x+2=-50 would be the equation

we can simplify it to get 2x+2=-50

the answer is the 3rd option

How many times greater is 1 kilogram than 1 microgram?

Answers

1 kilogram
1 * 10^3 gram

1 microgram
1 * 10^-3 gram

1 kilogram / 1 microgram
10^3 / 10^-3
10^6

JoeBucannon's answer is in fact false, you cant really do that formula to find the answer, check it through a conversion calulator and you will find that 1.000000e+9µg is your answer.

(I really also dont wanna waste your time so 1.000000e+9µg = 10^9)

the 2 points are reflections of each other across the x-or y-axis identify the axis help me please

Answers

7. Y axis
8. X axis
9. X axis
10. Y axis

Express each ratio as a fraction in simplest form:

0.3 km to 500 m

Answers

Answer: 3/5

Step-by-step explanation:

The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.

1000 metre makes 1 kilometers. Therefore,

0.3km = 0.3 × 1000 = 300 metre

0.3 km to 500m= 300m to 500m

300m : 500m = 300/500

Reducing to its lowest term, 100 is a common factor.

300/500 = (100×3) / (100×5)

= 3/5.

Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)

Answers

A linear function is one whose formula can be written in the form

Ax + By = C where A, B, C are real numbers and A, B are not both 0. (This is standard form, too.)

[tex]\frac{x+4}{2} = \frac{y-4}{3}[/tex]

"Cross multiply."

[tex]3(x+4) = 2(y-4) \\ 3x+12 = 2y-8[/tex]

Subtract 12.

[tex]3x=2y-20[/tex]

Subtract 2y.

[tex]3x-2y=-20[/tex]

This matches up with standard form with A = 3, B = -2, C = -20.

It's a linear function.

A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line

Answers

Try writing it in point-slope form and you will see why you have a problem.

slope m is equal to (y2-y1)/(x2-x1):

m = (y2-y1)/(x2-x1) = (2-6)/(-6 - -6) = -4/0

The denominator has a zero, so it is undefined.

Since the point-slope form requires "m" to be defined, you can't write the equation of the line using point-slope form.

Brittany is selling car magnets. She purchased a them for $7.50 each and marks up the price by 30%. How much is Brittany planning to charge

Answers

Hello! So Brittany plans to sell car magnets that she purchased at $7.50 and mark them up by 30%. To find the new price, we can multiply 7.50 * 1.30. When multiplied, it gives us 9.75. Brittany is planning to charge $9.75 for the car magnets.

find the complex roots of x^3+1=0

Answers

[tex]\text{Use:}\ a^3-b^3=(a+b)(a^2-ab+b^2)[/tex]

[tex] x^3+1=0\\\\x^3+1^3=0\\\\(x+1)(x^2-(x)(1)+1^2)=0\\\\(x+1)(x^2-x+1)=0\iff x+1=0\ \vee\ x^2-x+1=0\\\\x+1=0\to x=-1\in\mathbb{R}-real\ solution\\\\x^2-x+1=0\\\\x^2-2\cdot x\cdot0.5+1=0\\\\\underbrace{x^2-2\cdot x\cdot0.5+0.5^2}_{(a-b)=a^2-2ab+b^2}-0.5^2+1=0\\\\(x-0.5)^2-0.25+1=0\\\\(x-0.5)^2+0.75=0\ \ \ |-0.75\\\\(x-0.5)^2=-0.75\iff x-0.5=\pm\sqrt{-0.75}\ \ \ |+0.5\\\\x=0.5-i\sqrt{0.75}\ \vee\ x=0.5+i\sqrt{0.75}\\\\x=\dfrac{1}{2}-i\sqrt{\dfrac{3}{4}}\ \vee\ x=\dfrac{1}{2}+i\sqrt{\dfrac{3}{4}} [/tex]

[tex]\boxed{x=\dfrac{1-i\sqrt3}{2}\ \vee\ x=\dfrac{1+i\sqrt3}{2}}[/tex]

[tex]\text{in standard form:}\ \boxed{x=\dfrac{1}{2}-\dfrac{\sqrt3}{2}i\ \vee\ x=\dfrac{1}{2}+\dfrac{\sqrt3}{2}i}[/tex]

Which of the following numbers has 5 in the ten thousands place A. 652,341. B. 562, 341. C. 462,541. D. 265,401

Answers

The answer would be A.

A. 652341
Six hundred and Fifty-two thousand, three hundred and forty-one.
6 hundred thousands
5 ten thousands

ratio 5 to 15 in a fraction lowest term

Answers

To do this, divide the numerator and denominator by the GCF. In this case, it's 5.

5:15
5 ÷ 5: 15÷5
1:3

Hope this helps!

To solve this ratio, we must first find the GCF, or the Greatest Common Factor, that is, the largest number that fits into both numbers. We can set up a table to compare the factors of each individual number, then identify common factors between the two numbers.

15 | 1 3 5 15
5 | 1 5

We see that the common factors include 1 and 5, however, 5 is the greatest common factor. Now we can simplify the ratio by dividing both numbers by 5.

5/5 = 1
15/5 = 3

Simplified Ratio: 1:3 (which is 1/3).

:)

What is the reciprocal of 7/12?

1. -12/7
2.-7/12
3.7/12
4.12/7

Someone told me you just have to flip the fraction so would that make this answer 12/7?

Answers

yes just flip it and youll have the answer

The answer would be -12/7. You flip the fraction and the sign, so 12 would go on the top, 7 would go on the bottom, and the value would become negative.

you live 3.67 miles from your grandparents and you are biking how do you solve this

Answers

To solve for revolutions, we will have to take the distance of the travel and divide that by the circumference of the wheel.

Distance of travel = 3.67 miles
Circumference of wheel = 82.6 inches

We have to convert the inches to miles. There are 63360 inches in one mile.

Circumference of wheel = 82.6 in * (1 mi/63360 in) = 0.0013 miles

Revolutions = Distance/Circumference = 63,538.46 revolutions

0.561 rounded to the nearest hundredth is what

Answers

0.56 4 and below round it down, 5 and above round it up.

0.561 rounded to the nearest hundredth is 0.56. Remember the 10th and 100th places in decimals, 10th being the place of the 5, and 100th being the place of the 6. When rounding, you only raise it if the number you are given is higher than 5. Because it's just a 1, in this case you can just take it off.

The length of a rectangle is 6 1/2 inches and the width is 3 3/4 inches. What is the ratio, using whole numbers, of the length to the width?

Answers

The length is 13/2, while the width is 15/4, after combination. Ratio of length to width is then (13/2)/(15/4) = 26/15.

The ratio, using whole numbers of the length to the width is [tex]\frac{26}{15}[/tex]

Given the following data:

Length of a rectangle = [tex]6\frac{1}{2}[/tex] inches.Width of a rectangle = [tex]3\frac{3}{4}[/tex] inches.

To calculate the ratio, using whole numbers of the length to the width:

What is ratio?

Ratio can be defined as a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another.

How to calculate the ratio.

First of all, we would convert the mixed fraction to a proper fraction as follows:

For the length:

[tex]6\frac{1}{2}=\frac{13}{2}[/tex]

For the width:

[tex]3\frac{3}{4}=\frac{15}{4}[/tex]

Now, we can calculate the ratio, using whole numbers of the length to the width:

[tex]Ratio = \frac{length}{width} \\\\Ratio = \frac{\frac{13}{2} }{\frac{15}{4} } \\\\Ratio = \frac{13}{2} \times \frac{4}{15} \\\\Ratio =\frac{26}{15}[/tex]

Read more on ratio here: https://brainly.com/question/13513438

Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box

Answers

The answer is 10/3, the whole number form of it is 3 1/3 :)

Answer:

[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]5.\frac{2}{3}[/tex]

We have to multiply and find answer in improper fraction in simplified form

In order to find the answer we will multiply nominator by nominator denominator remain same.

[tex]5\cdot \frac{2}{3}=\frac{10}{3}[/tex]

It is improper fraction and simplified from .

Answer:[tex]\frac{10}{3}[/tex]

The formula A=1w is used to calculate the area A of a rectangle surface using the length(l) and the width (w) of the surface which formula could be used to find W in terms of A and L

Answers

A = lw

To isolate w, you have to divide l on both sides:
w = A/l

Me. Simpson drove 105 miles in 2 1/2 hour what was mr. Simpson speed in miles per hour

Answers

divide total miles driven by time:

105 miles / 2.5 hours = 42 miles per hour

If P(A) = 0.5, P(B) = 0.3, and P(A or B) = 0.6, find P(A and B)

Answers

P(A or B) = P(A) + P(B) - P(A and B), which means that the probability that A or B occurs is equal to the probability that A occurs plus the probability that B occurs minus the probability that both A and B occur.

So, you know P(A), P(B) and P(A or B) and you can solve for P A and B) =>

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.5 + 0.3 - 0.6 = 0.8 - 0.6 = 0.2

Answer: P(A and B) = 0.2

4a+15 whats the answer

Answers

A=3.75

15/4 = 3.75

4(3.75)=15

candy buys 20 ounces of mixed nuts .she puts an equal number of ounces in each of 3 bags .how many ounces of nuts will be in each bag?write the answer as a whole number and a fraction.

Answers

20 divide by 3 equals 6.66666666667 as a whole number.
As a fraction it is 20/3

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

Candy buys 20 ounces of mixed nuts.

She puts an equal number of ounces in each 3 bags.

In each bag she can put = [tex]\frac{20}{3}[/tex]

= [tex]6\frac{2}{3}[/tex]

She can put [tex]6\frac{2}{3}[/tex] ounces of nuts in each bag.

What is the value of x?

Enter your answer in the box.

Answers

3 sides are equal
so
4x - 30 = 3x - 5
4x - 3x = -5 + 30
x = 25

How would you use the Associative Property of Multiplication to compute 4x25x27 mentally.

Answers

(4 * 25) * 27
= 100 * 27
= 2,700

Think of 4x25 as quarters you get 100 multiply x27put 2 zeros at the end of 27 and you get the answer

What is the product 5/10.10/3

Answers

we have 5/10 multiplied by 10/3
Here, the 5 in the denominator of the first term will be cancelled out with the 5 in the numerator of the second term and the result would be 5/3
Therefore:
5/10*10/3 = 5/3

The phone company charges 10 cents to connect a call for one minute, and 8 cents per minute after that. How long could you talk on the phone for $1?

Answers

you can talk on the phone for 12 minutes for $1

between which two consecutive whole numbers is square root 95

Answers

Think: 81 and 100 are perfect squares. 95 is between these.

Thus, sqrt(95) is between sqrt(81) and sqrt(100), or between 9 and 10.

Answer:

81..........................................................................................

Step-by-step explanation:

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