Points A, B, C, and D are collinear and positioned in that order. Find the length indicated 7) Find BC if BC = 2x + 4, AD = 28, CD = 3x - 2, and AB = 3x + 2. 8) Find BD if BD = -7 + 3x, AB = 2x - 14, AC = 2x - 3, and CD = 9.

Answers

Answer 1

Answer:

  7)  BC = 10

  8)  BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

  AB +BC +CD = AD

  (3x+2) +(2x+4) +(3x-2) = 28

  8x +4 = 28 . . . . collect terms

  8x = 24 . . . . . . . subtract 4

  x = 3 . . . . . . . . . divide by 8

  BC = 2x+4 = 2(3) +4

  BC = 10

__

8) AB +BD = AC +CD

  (2x -14) +(-7 +3x) = (2x -3) +(9)

  5x -21 = 2x +6

  3x = 27

  x = 9

  BD = -7 +3x = -7 +3(9)

  BD = 20


Related Questions

A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below. 1 pound = 16 ounces. 1,000 grams = 1 kilogram. 1 kilogram = 2.2 pounds. Student's work: StartFraction 160 ounces Over 1 EndFraction times StartFraction 16 pounds Over 1 ounce EndFraction times StartFraction 1 kilogram Over 2.2 pounds EndFraction almost-equals 1,163.6 What is the student's error? The student forgot to multiply by StartFraction 1,000 grams Over 1 kilogram EndFraction. The student forgot to multiply by StartFraction 1 kilogram Over 1,000 grams EndFraction. The student multiplied by StartFraction 16 pounds Over 1 ounce EndFraction instead of StartFraction 1 pound Over 16 ounces EndFraction. The student multiplied by StartFraction 1 kilogram Over 2.2 pounds EndFraction instead of StartFraction 2.2 pounds Over 1 kilogram EndFraction.

Answers

Answer:

The answer is C.

Step-by-step explanation:

I just founded out when I reviewed it.

Answer:

Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear in the numerator and the denominator side. The solution is as follows:

Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces

Step-by-step explanation:

HELP ASAP LIMITED TIME

Answers

Answer:

B

Step-by-step explanation:

not explaining but its B trust me

How do I do number 2 ? Someone please helpp w

Answers

Answer:

yes it is a function

Step-by-step explanation:

You have to take the numbers and see if any of them are the same in the X column if their are some of the same numbers you only write the number once. than you connect the numbers to the given output. If any numbers have 2 outputs it is not a function.

Im really bad at math

Answers

Answer:

2.5

Step-by-step explanation:

ANYONE CAN YOU HELP ME

Answers

Your answer would be C

The length of AC⎯⎯⎯⎯⎯ is 10 inches. What is the length of FA⎯⎯⎯⎯⎯ ? 5 in. 8 in. 10 in. 20 in.

Answers

Do u ever just comment for points and a thank you 126

Answer:

5 in.

Step-by-step explanation:

I just took the test :)

How can u turn 10 into a mixed number ?

Answers

25/10 is a mixed number that equals 2.5

Write all the integers between the given pairs (write them in the increasing order.)
(a) 0and−7
(b) −4and4
(c) −8and−15
(d) −30and−23

Answers

-30

-23

-15

-8

-7

-4

0

4

.........

A flowchart proof

contains a set of sentences explaining the steps needed to reach a conclusion.
uses inductive reasoning to prove a statement.
uses a visual representation of the logical flow of steps needed to reach a conclusion.
contains a table with a logical series of statements and reasons that reach a conclusion.

Answers

Answer:

C. uses a visual representation of the logical flow of steps needed to reach a conclusion.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

A flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion. (Option C)

What is a flow chart proof?

A flowchart proof is a technical proof in which boxes with arrows move from one to the next.

Hence, it is correct to state that a flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

Learn more about flowcharts at:

https://brainly.com/question/1566282
#SPJ6

1. Which of the following relations is a function?
O {(1,2)(2,3)(3,5)(2,6)}
O {(4,5)(5,1)(9,5)(2,6)}
O {(4,6)(5,1)(5,9)(7,5)}
O {(4,6)(5,1)(4,3)(7,5)}

Answers

Answer:

Step-by-step explanation:

first one

Are the lines parallel, perpendicular, or neither

Answers

Answer:

  perpendicular

Step-by-step explanation:

The first equation can be written in slope-intercept form as ...

  y = -1/2x - 3

In this form, we see that the slopes of the two lines are -1/2 and 2, so the product of their slopes is -1. That means the lines are perpendicular.

the average temperature for febuary was -4.03 in chicago and -7.14 in michigan.which of the following represent the difference between the average temperature of the two cities HELPP

Answers

To put it simply, the answer is 3.11.

Which of the following numbers is rational?
-9
5/8
0
all of the above

Answers

Answer: 5/8


What rational means:

MATHEMATICS
(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.

Solve the absolute value equation: |2x - 12 | = -4x

Answers

Answer:

x= -6

Step-by-step explanation:

I think this is right?

Answer: 2

|2x-12|= -4x

2x-12= -4x

-12= -6x

2=x

x=2

geometry help plspls pls pls pls pls

Answers

Answer:

x = - 2.5, 1

Step-by-step explanation:

In the given figure, JM and JK are the tangents drawn from the external point J to the [tex] \odot[/tex] L, Points K and M are points of tangency.

Since, tangents drawn from external point to a circle are congruent.

[tex]\therefore JM = JK\\\therefore 2x^2 +3x - 2 = 3\\\therefore 2x^2 +3x - 2 -3=0\\\therefore 2x^2 +3x - 5 =0\\\therefore 2x^2 - 2x + 5x - 5 =0\\\therefore 2x(x - 1) + 5(x - 1) =0\\\therefore (x - 1) (2x+ 5) =0\\\therefore x - 1 = 0\: or \: 2x + 5= 0\\\therefore x = 1\: or \:2x = - 5\\\therefore x = 1\: or \:x = - 2.5\\\huge \purple {\boxed {\therefore x = \{-2.5,\: 1\}}}[/tex]

Solve for
2/x+1 = 3/x-5

Answers

Answer:

x=16

Step-by-step explanation:

I hope this helped

Answer:

x= 1/6

Step-by-step explanation:

1) Add the same term to both sides of the equation

2/x+1=3/x-5

2/x+1-1=3/x-5-1

2) Simplify-Add the numbers

2/x=3/x-6

3) Multiply all terms by the same value to eliminate fraction denominators

4) Simplify

5) Add the same term to both sides of the equation

6) Simplify

7) Divide both sides of the equation by the same term

8) Simplify

1/6=x

I hope this helps!

What is the slope of the line below? PLS HELP

Answers

Answer:

B, negative

Step-by-step explanation:

15. If gasoline costs $4.02 per gallon, your tank holds 13 gallons, and your car averages 26 miles per gallon,
a) If your tank is full, how far can you drive before you run out of gas?
b) If your tank were empty, how much will it cost to fill up your tank?

Answers

Answer: a) 338 miles

b) $52.26

Step-by-step explanation: To get the amount of miles that your car can drive before running out of gas, you just multiply how many gallons you have by how many miles each gallon lasts. Then, to get the cost of all the gas, you multiply the cost of the gas by how many gallons you need.

If (–6, y) is a solution to the equation –7x − 5y = –68, find the value of y.


Answers

Steps to solve:

-7x - 5y = -68 when x = -6

~Substitute and simplify

-7(-6) - 5y = -68

42 - 5y = -68

~Subtract 42 to both sides

-5y = -110

~Divide -5 to both sides

y = 22

Best of Luck!

would you classify the number 200 as a perfect square, a perfect cube,both, or neither? explain

Answers

A: No, the number 200 is not a perfect square.

B: No, the number 200 is not a perfect cube.

C: Yes. the number 200 is neither.

No number times itself twice or threefold is 200 therefore I can conclude it's neither.

Answer: neither because a perfect square is number like 9 or 100 where 3^2=9 and 10^2=100 and likewise for a perfect cube. 200 is not a perfect square or perfect cube for any number

Step-by-step explanation:

What is the value of -2/5 divided by 3/4

Answers

Answer:

[tex]-\frac{8}{15}[/tex]

Step-by-step explanation:

To divide a fraction by another fraction, you flip the second fraction and also change the divide sign to a multiply sign.

[tex]-\frac{2}{5}\div \frac{3}{4}=-\frac{2}{5}\times \frac{4}{3}[/tex]

Multiply:

[tex]-\frac{2\times \:4}{5\times \:3}[/tex]

[tex]-\frac{8}{15}[/tex]

Question 2
Write an algebraic expression for the verbal expression.
a number n less 35

Answers

x < 35
Hope this helps

Answer:

35 - n

Step-by-step explanation:

a number n = "n"

less than = "minus or -"

35 = 35

Thus the answer should be "35 - n"Pleas Mark Brainliest!!! :D

How can you use unit rates to solve pricing problems?​

Answers

Answer:

a ratio is a comparison of two numbers or measurements

the objects being compared are called the terms of the ratio.

if the tow terms are different units this is called a rate.

example:

David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?

solution:

Distance covered by David in 1 hour is

=  600 / 8  

=  75 miles per hour

Distance covered by John in 1 hour is

=  380 / 5  

=  76 miles per hour

When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.

We can use unit rates to solve pricing problems because we solve for price of one of that item.

For example, David bought 5 pounds of peanuts for $10, how much does it cost for one pound?

10 / 5 = $2 per pound

The $2 is the unit rate and we use to find if David buys more then 10 pounds.

Best of Luck!

jada applies two transformations to a polygon in the coordinate plane One of the translations is a translation and the pother is a reflection what information does jada need to provide to communicate the transformation she has used?

Answers

Answer:

What other information does Jada need to communicate about this sequence of transformations

Step-by-step explanation:

five multiples of 45

Answers

Answer:

45,90,135,180,225

Step-by-step explanation:

please help!
what is the slope of the line shown below?

Answers

(-4,3) and (3,1)

Using slope formula, y2-y1/x2-x1 , so

1-3 / 3-(-4) = -2/7

The answer is C, -2/7



The answer would be C because it’s going to the left which means it will be a negative and it’s going up twice so yeah :)

Working on Scientific Notations please help ​

Answers

Answer: The answer is scientific notation

Step-by-step explanation:

5 + (-6) = ? Math:adding with rational integers​

Answers

5 + (-6) = -1
hope this helps!

Why is 1 + (−5) equal to −4? PLEASE HELP

Answers

Answer:

Since the -5 is a bigger number than 1 you would keep the negative and carry it to the -4.

Step-by-step explanation:

If f(x)= 2x +4 and g(x)= 3x - 7; then find g(g(3)).

PLEASE HELP

Answers

Step-by-step explanation:

no cube what going on here right now

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