Segment A'B' is parallel to segment AB. What is the length of segment AB? What is the length of segment B'B? Your answer should be in decimal form with only one decimal place.

Segment A'B' Is Parallel To Segment AB. What Is The Length Of Segment AB? What Is The Length Of Segment

Answers

Answer 1

B’B is 3.5

Step-by-step explanation:

Answer 2

Segment A'B' is parallel to segment AB.

So, The length of segment AB is 7.5 units

The length of segment B'B is 3.5 units

Given :

Segment A'B' is parallel to segment AB. Few sides of the triangle is given.

Apply basic proportionality theorem

When  A'B' is parallel to segment AB then sides are proportional

[tex]\frac{CB'}{B'B} =\frac{CA'}{A'A}[/tex]

Substitute the values

[tex]\frac{7}{B'B} =\frac{6}{3} \\cross \; multiply\\7(3)=B'B(6)\\21=B'B(6)\\Divide \; by \; 6\\B'B= \frac{21}{6} \\B'B=3.5[/tex]

Now we find AB by making a proportion

[tex]\frac{CA'}{CA} =\frac{BA'}{BA} \\\frac{6}{9} =\frac{5}{AB} \\Cross \; multiply\\6(AB)=5 \cdot 9\\6AB=45\\Divide \; by \; 6\\AB=7.5[/tex]

The length of segment AB is 7.5 units

The length of segment B'B is 3.5 units

Learn more :  brainly.com/question/21274470


Related Questions

How would you graph the result of -3 + 5 as a point on the number line?

two places to the right of zero
two places to the left of zero
eight places to the right of zero
eight places to the left of zero

Answers

It would be two places to the right of 0 because -3+5=2

Jasmin's dog weighs 62 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds.
Jasmin's dog can lose an average of 3 pounds every week. Write the solution to an inequality that describes all possible number of weeks
z for which her dog can be at a healthy weight.

Answers

Answer:

62-3z ≤ 40

Step-by-step explanation:

62 is the starting point. jasmin's dog can lose 3 lbs per week and z represents the number of possible weeks. then we know it has to be less than or equal to 40. so put that there.

Please help me with this :((

Answers

Answer:x=5 or F

Step-by-step explanation:(8x+6)/(5x-2)=2, because it is the midsegment, cross multiply, and you get 2x=10, so x=5

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

------------------------------------------------------------

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

------------------------------------------------------------

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl

EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The winner will receive Brainliest. ..just giving back because I know some people don't have points.

Answers

Answer: red

Step-by-step explanation: that’s mine

Answer:

Pink

Step-by-step explanation:

Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!

Answers

The third one is correct.

what this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

a.108
b.18c³
c.54c
d.9c6​

Answers

It’s going to be 18c³

Step-by-step explanation:

: a common multiple of the denominators of a number of fractions. 2 : a common trait or theme.

Whats is the answer for 30x10283

Answers

Answer: 30 x 10,283= 308,490

Step-by-step explanation: 30 multiplied by 10,283 equals 308,490

I will brainlist HELP

Answers

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?

Answers

Answer:

About 40 (Accurate answer would be 39.7 or 39.666666)

Step-by-step explanation:

714/18 =  39.666666

Answer:

wait look it up on google

Step-by-step explanation:

solve each system of equations using substitution. x=y+1 x=3y+2​

Answers

Answer:

x=1/2

y=-1/2

Step-by-step explanation:

x = y+1

x = 3y+2

Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.

As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.

For this, I will show you by plugging in the bottom equation for the top equation.

x = y+1

x = 3y+2

As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.

3y+2 = y+1

From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.

So, subtract y from both sides.

(3y-y)+2 = (y-y)+1

Rewrite the equation.

2y+2 = 1

Remember, the goal is to get the "y" BY ITSELF.

There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.

2y+(2-2)=(1-2)

When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.

Keep the 1.

Flip the - to a +

Flip the 2 into a -2.

So you get 1+(-2) which is -1. Now, rewrite the equation.

2y=-1

You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.

y=-1/2

Now, use this value to plug into your ORIGINAL equations (you can pick either)

x = y+1 OR x = 3y+2

x= -1/2 + 1

x=1/2

(1/2, -1/2)

Solve for x in the following angle relationship. Please also identify the type of angles given:


answer options

O x= 10, corresponding

O x = 4, corresponding

O x = 10, alternate interior

O x = 4, Same side interior​

Answers

9514 1404 393

Answer:

  x= 10, corresponding

Step-by-step explanation:

Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.

__

Corresponding angles are congruent, so we have ...

  10x +10 = 110

  10x = 100 . . . . . subtract 10

  x = 10 . . . . . . . . divide by 10

What are the measures of the angles in the triangle? (6x + 10) (x + 17) (4x - 34)​

Answers

I'm not quite sure these are right. You might wanna check with a classmate or something first.

Step-by-step explanation:

(6x + 10) + (x + 17) + (4x - 34) = 180

11x - 7 = 180

11x = 173

x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)

(6x + 10)

6 (15.73) + 10

94.38 + 10

104.38

(x + 17)

(15.73) + 17

32.73

(4x - 34)

4(15.73) - 34

62.92 - 34

28.92

8 1/6 - 2 7/8 =

BRAINLIEST

Answers

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

Hope this helps plz mark brainliest :D

Answer:

5  7/24≈5.292

Step-by-step explanation:

Subtract

8  1/6 -2 and 7 over 82=127 over 2

Convert mixed number to improper fraction

8 1/6= 8x6/6+ 1/6=16+7/8=23/8

Convert mixed number to improper fraction

2 7/8= 2x8/8+7/8=16+7/8=23/8

Find common denominator

49/6-69/24=196-69/24=127/24

24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.

Subtract

196/24- 69/24= 196-69/24=127/24

Simplify

127/24= 5 7/24

an object is moving at a speed of 4 feet per minute. Express this speed in miles per week. Round your answer to the nearest hundredth.

Answers

Answer:

7.64 miles/week

Step-by-step explanation:

recall the following conversions

1 mile = 5280 feet  or  1 foot = 1 /5280 miles

also

1 week = 7 days = 7 x 24 hours = 7 x 24 x 60 = 10080 min

We are given 4 feet /min. We can apply the above conversions to this to get:

4 feet/min

= 4 feet/min x (1/5280) miles/foot

= (4/5280) miles / min

= (4/5280) miles/min x 10080 min/week

= (4/5280)(10080) miles/week

= 7.636363 miles/week

= 7.64 miles/week   (nearest hundredth)

Pls help i will give brianliest

Answers

Answer:

b is the answer

Step-by-step explanation:

whats the answer for (1 + 1 x 15 /3)sqr2

Answers

Answer:

Answer should be 36

Step-by-step explanation:

I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.

If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number

Answers

Answer:

29

Step-by-step explanation:

Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.

Answer:

29

Step-by-step explanation:

-39=-3(n-16)

13=n-16

29=n

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

Answers

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

Please please please please please please quick quick quick quick quick quick

Answers

8) it is perpendicular

Answer:

They are perpendicular

Step-by-step explanation:

The slopes are opposites

Can someone help me on this? Will mark brainleist if they get it right!

Answers

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

what is the answerrrr to thisssssss -8 ( -25 - 7 ) =

Answers

Answer:

your answer is 256

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

In the diagram below, find the value of x to the nearest hundredth

Answers

Answer:

x = √324 = 18

Step-by-step explanation:

x shows up only in the second problem, so I'll focus on that problem.

This is a right triangle because one of the three angles is 90 degrees.

Thus, the Pythagorean Theorem applies:  x^2 + 24^2 = 30^2, or

x^2 = 900 - 576 = 324

Then x = √324 = 18

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Answers

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

5 hours
276 divided by 12 = 23
115 divided by 23 = 5

Find the area of this parallelogram.
5.2 cm =height
8.4 cm =width​

Answers

Answer:

The answer is 43.68.

Step-by-step explanation:

Answer:

43.68

You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4

For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8

Answers

Answer:

C. 7

Step-by-step explanation:

[tex] In\: \triangle ABC\\

\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]

Therefore, by Basic Proportionality theorem:

[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\

\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\

\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]

(01.02 LC)
Solve
3x - 15
= 4x
2
Ox= 11
Ox=6
Ox= -3
Ox= -15
I need help

Answers

Answer:x = -15Hope this helps!!

Which points can be used to create a line with a zero slope through (3,-2)

Answers

Answer:

(0-2) point can be use to create a line

Answer:

Step-by-step explanation:

line on x-axis or parallel to x-axis has slope=0

so (-5,-2),(6,-2)(-3,-2),(0,-2)

all these points lie on the line y=0x-2

or y=-2

Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda

Answers

Answer:

1/2 teaspoon salt

Step-by-step explanation:

We can make this into a ratio of salt:baking soda

1/8:1/4

now, how many 1/4 will we need to make 1?

If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!

1/8*2=4/8, or 1/2 teaspoon

It takes Rebekka 1/2 hour to jog 1 1/4 miles.
Which calculation could be used to find her unit rate in miles per hour?

A. multiply: 1 1/4 x 1/2
B. multiply: 1/2 x 2
C. divide: 1 1/4 / 1/2
D. divide: 1/2 / 1 1/4

Answers

D because we have divide to find the unit rate.
D because it correct and I’m smart I think
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