PLEASE HELP !!

What is the missing reason for line 6 in this proof?

PLEASE HELP !! What Is The Missing Reason For Line 6 In This Proof?

Answers

Answer 1
Answer:  Choice D

CPCTC

This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.


Related Questions

The sum of two integers is 10. Their difference is 4. What are the two integers?

A) -3 and 1
B) -3 and 13
C) 3 and 7
D) -1 and 3

Answers

Answer:

The answer is 3 and 7.

Step-by-step explanation:

What is the value of x in simplest radical​ form?

Answers

Answer:

x = 20

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.  

This relationship is represented by the formula: a*a + b*b = c*c

[tex]\sqrt{16^2 + 12^2}[/tex] = x  

how many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 1/3 inches, and height 1 2/3 inches?

Answers

The number of 1/3 inch cubes that will fill the box is 26.

Volume of an object.

The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.

Given a cube of length 1/3 inch. The volume of the cube can be determined as;

volume of a cube = length x width x height

The volume of the cube = 1/3 * 1/4 * 1/3

                            = 1/9 cube inches

The volume of the box can be determined as;

Volume of the box = length x width x height

                       = 1 1/3 * 1 1/3 * 1 2/3

                       = 2.963 cubic inches

Volume of the box = 2.963 cubic inches

The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)

                                                        = 26.667

The number of 1/3 inch cubes that will fill the box is 26.

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How do you call 2 angles with the sum of 90?

Answers

The two angles that have the sum of angles as 90° are called as Complementary Angles .

What are Complementary Angles ?

The two angles are said to be complimentary Angles when the sum of two angles is 90° .

In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles.  We can also say that  the two angles complement each other.

For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .

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NEED HELP ASAP MAKE IT NEAT AND NOT TOO LONG!!!!

Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Answers

Answer:

Step-by-step explanation:

A

(2x - 5)(x + 1)

B)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

C

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

D

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

Please help me to find the slope

Answers

Answer:

Step-by-step explanation:

the formula for the slope is y2 - y1 / x2 - x1

so 1 - 0 / -3 --3/7

on the calculator

- 7 / 18

If A = 5 units, then what is the volume of the cube shown above?

Answers

Answer:

125 square units

Step-by-step explanation:

YYWW :)

I did the first question already I need help with the second pls :>

Answers

Answer:

The box is considered a cube so,

4 x 4 = 16

56 divided by 16 = 3.5 is your height

1/2 x 1/2 x 1/2 = 1/8.

56 divided by 1/8 = 7 cubes

lamar bought v vanilla cupcakes and 8 chocolate cupcakes for the party write an expression that shows how many cupcakes lamar bought in all

Answers

Answer:

8 + v

Step-by-step explanation:

assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

b. 132°

Step-by-step explanation:

Solve for x.

3 1/2 ≥ 1.4x

A. x ≥ 2 1/2

B. x ≤ 2 1/2

C. x ≥ 4 9/10

D. x ≤ 4 9/10

Answers

To solve for x, we need to get x by itself on one side of the equation. To do this, we can start by subtracting 1.4x from both sides of the equation. This gives us:

3 1/2 - 1.4x ≥ 0

Next, we can simplify the left side of the equation to get:

7/2 - 7/5x ≥ 0

Now we can divide both sides of the equation by -7/5 to get:

-5/2x ≤ -7/2

Finally, we can multiply both sides of the equation by -2/5 to get:

x ≥ 4 9/10

Therefore, the solution is x ≥ 4 9/10, which corresponds to answer choice C.

Answer:
x ≥ 4 9/10 C:)

Step-by-step explanation:

An 80% confidence interval is found to be (12, 20). What is the margin of
error?

Answers

Answer:4

Step-by-step explanation:

What's the missing base of 16= ^2

Answers

Answer:

4

Step-by-step explanation:

Think about it like this: What number multiplied by itself is equal to 16. It's 4! Because 4 *4 = 16. Thus, the missing base is 4

Answer:

It is 4

Step-by-step explanation:

It would be 4 since the square root of 16 is 4.

How do you solve a 3 sided triangle?

Answers

It is impossible to solve a 3-sided triangle because triangles require 3 sides and 3 angles in order to be solved.

A triangle is a three-sided polygon, and the sum of its angles is always 180 degrees. In order to solve a triangle, you must know the length of all three sides and the measure of all three angles. If you know two sides and the angle between them (the angle opposite to one of the sides), you can use the Law of Sines to determine the other angle. If you know two angles and a side, you can use the Law of Cosines to determine the other two sides. With all three sides and angles known, you can use the Pythagorean Theorem to check your work. However, if you only have three sides, it is impossible to solve the triangle because you do not have enough information.

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find the area of the composite figure below
please help

Answers

Answer:

          240 yd³

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

How to work out the circumference from the diameter using a calculator and pi

Answers

Answer:

All you have to do is remember the equation: 2 *pi * r

or d * pi

Step-by-step explanation:

2R and d are the same thing

Plz help! Will mark brainliest if correct! No links please

Answers

Answer:

20.8

Step-by-step explanation:

hope this helps

(a) 26 is what percent of 40? 65% (b) 85% of 80 is what number?

Answers

a) 65%
b) 68

26:40 as x:100
26/40 = x/100
Cross multiply
2600 = 40x
x = 65
———————
85% of 80
0.85 is the decimal equivalent of 85%
80 x 0.85 = 68

prove that the value of the expression does not depend on the value of x. (x-5)(x+8)-(x+4)(x-1)

Answers

The value of the expression is -44 and thus does not depend on the value of x

What are algebraic expressions?

An algebraic expression can be described as a mathematical expression made up of variables, terms, factors, coefficients and constants.

They are also made up of mathematical or arithmetic operations, which includes;

MultiplicationSubtractionAdditionBracketParenthesesDivision, etc

From the information given, we have that;

(x-5)(x+8)-(x+4)(x-1)

expand the bracket

x² + 8x - 5x - 40 - (x² -x + 4x - 4)

x² + 8x - 5x - 40 - x² + x - 4x + 4

collect like terms

3x - 3x - 40 - 4

add or subtract like terms

0 - 44

Hence, the expression does not depend o x

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PLS HELP!!!! WILL GIVE BRAINLIEST!!! EDGE. PERFORMANCE TASK STEP FOUR

Answers

5W = 24D is the expression that represents the change in the rate of dosage as per the weight.

What is an expression?

A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.

Given the relation between dosage and the weight of a medicine

               Children's Fever Medicine

                (given every 4-6 hours, as needed)

Weight:     24 lbs         36+ lbs         48+lbs          60+lbs         72+ lbs

Dosage:    5 mL         7.5 mL          10 mL             12.5 mL           15 mL

ratio of weught and dose

24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15

=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8

Since weight is directly proportional to the dosage

let W be the weight of the child and D be the Dose of the medicine

Thus, Relation between them:

=>W/D = 24/5

=> 5W = 24D

Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.

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If X-1 = 2
Work out the value of 2x2

Answers

Answer:

2x

2

−x−2=2(−1)

2

−(−1)−2 [Putting x=−1]

=2×1+1−2=2+1−2

=3−2

=1.

question in in the image

Answers

Answer:

Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.

It is D
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Helppppppp
in a math class with 30 students, a test was given the same day that an assignment was due. There were 21 students who passed the test and 20 students who completed the assignment. There were 7 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they passed the test?

please help ​

Answers

Answer:  6/7

This approximates to roughly 6/7 = 0.8571

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

Explanation:

Let's define the following

A = number of people who passed the test, and did the hwB = number of people who passed the test, but didn't do the hwC = number of people who failed the test, but did the hwD = number of people who failed the test, and didn't do the hw

There are 30 students in the class total. This must mean A+B+C+D = 30.

We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.

We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).

This means:

A+B+C+D = 30

(A+B)+C+D = 30

(21) + C + 7 = 30

C+28 = 30

C = 30-28

C = 2

We have 2 people who failed the test, but did the hw.

Because 20 students did the hw, we know that

A+C = 20

A+2 = 20

A = 20-2

A = 18

We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.

The probability we're after is therefore:

18/21 = (3*6)/(3*7) = 6/7

Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.

Answer:

6/7

Step-by-step explanation:

It's correct trust me.

Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.

Answers

Answer:

There was a discount of 20% on the pair of pants.

Step-by-step explanation:

10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.

If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20

Answer: So it was a 20% discount

First find out how much you saved: 34 - 27.20 = $6.8 saved

Then find out what percent of what you saved is of the original price: 6.8 is 20% of 34


A high school student working part time as a shelf stocker had a gross income of $6675 last year. If his federal tax rate was %10 and his state tax was 3% what was the amount withheld from his Pat last year in federal tax, state tax, and FICA combined?


A. 867. 75

B. 667. 50

C. 200. 25

D. 1378. 39

Answers

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%" (percent sign). Percentages are used to express how much of something there is in relation to the whole. For example, if a student answers 80% of the questions correctly on a test, it means they answered 80 out of 100 questions correctly.

What is tax?

A tax is a financial charge imposed by a government on individuals, businesses, or other entities to raise revenue for government spending. Taxes are typically based on a percentage of income or sales, and can be levied on various forms of income, including wages, salaries, and profits. The purpose of taxation is to fund government programs and services, such as roads, schools, and national defense. Taxes can also be used to redistribute wealth and influence economic behavior.

The amount withheld from the student's pay last year in federal tax is $6675 x 0.1 = $667.50

The amount withheld from the student's pay last year in state tax is $6675 x 0.03 = $201.25

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

So the answer is A. 867.75

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Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (1 point) a 18 square inches b 27 square inches c 36 square inches d 45 square inches

Answers

The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

How to calculate the surface area?

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

4 triangles of base 3 and height 6.One square of side length 3.

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Find the missing length of the triangle. a= ? b=4 c=12 1/3

Answers

Answer:

a = 12.93

Step-by-step explanation:

Convert to decimal: 12 1/3 = 12.3

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

a = 12.93 (rounded to two decimal places)

The solution is :

the missing length of the triangle is a = 12.93.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Convert to decimal: 12 1/3 = 12.3

so, we have,

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

we get,

a = 12.93 (rounded to two decimal places)

Hence, the missing length of the triangle is a = 12.93.

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Select the improper fraction that is equal to the mixed number below
4 3/5

A. 43/5
B. 23/5
C.12/5

Answers

Answer:

B. 23/5 simplified to 4 3/5

Answer:

B. 23/5

Step-by-step explanation:

4 (whole number) ×5 (denominator) =20

20 + 3 (numerator) = 23

Ans = 23/5

Write two equations that can be solved using the double 7+7

Answers

Answer:

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

Given :

Expression - 7 + 7

Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.

May somebody help me please I’ll appreciate it

Answers

theremay be some options first show the options then it would be very easy

show the following equations
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