Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB

Answers

Answer 1

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15


Related Questions

Find -4(3)+(-7)

What order should be preformed in this expression

Answers

Answer:

-19

Step-by-step explanation:

According to bedmas rules, we have to first solve the brackets.

-4(3)+(-7)

-12 + (-7)

Now, let's add

-12 + (-7)

-12 - 7

= -19

PLZZZ HELP!!!
Find an equation for the line below. 

Answers

Answer:

y = -¼x + ½

Step-by-step explanation:

Given points (-2, 1) and (6, -1):

Start by solving for the slope of the line, using the following formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) =  (-2, 1)

(x2, y2) =  (6, -1)

m = (y2 - y1)/(x2 - x1)

m = (-1 - 1)/[6 - (-2)]

m = -2/(6 + 2) = -2/8 =

Therefore, the slope of the line is m = - ¼.

Next, to determine the y-intercept (b), use one of the given points (6, -1) and the slope, and plug in these values into the slope-intercept form:

y = mx + b

-1 =  -¼(6) + b

-1 = -3/2 + b

-1 + 3/2 = -3/2 + 3/2 + b

½ = b

Therefore, the y-intercept, b = ½.

The linear equation of the given graph is:

y = -¼x + ½

Combine the like terms to create an equivalent expression:
-12 – 6p - (-2)

Answers

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6p - ( - 2)

The double negative turns positive

-12 - 6p + 2

-12 + 2  - 6p

-10 - 6p

-Chetan K

Find the Highest Common Factor (HCF) the following sets of numbers:
6 and 12
10 and 20
8 and 24
24 and 30
8 and 18
9 and 21
18 and 24
20 and 28
15 and 20
12 and 20

Answers

6
10
8
2
3
6
4
5

hope this helped

Pls help I’ll brainlest ASAP

Answers

Answer:

time is indepent and patrick and spongebod is depent

Step-by-step explanation:

hopes it help

Can somebody help me as soon as possible if can

Answers

Answer:

D

Step-by-step explanation:

The mass of the proton has an exponential of -27 and the electron has -31.

Negative 27 is larger than negative 31 so you know the proton is larger than the electron in mass.

9.1 divided by 1.7 is approiximately 5.

Those exponents are 4 digits apart.  31 - 27 = 4 so there are 4 zeroes added onto the 5.

So the proton is about 50,000 times bigger than the electron in mass.

Simplify the following completely

Answers

Answer:

A= 360 and B=2 .

Step-by-step explanation:

because the deniminator (bottom) is 4 you have to simplify it down to 2, because that's the lowest you can go. 720/2 is 360 (2 is the lowest that it can go) and 4/2 is 2

Find the value of Wif A=LW, A = 70 m2, and L = 5 m.
The value of Wis m.
(Simplify your answer.)
Find the value of w if a =70 m2 and l = 5 m

Answers

Step-by-step explanation:

integers and exponents

Given PS=RT, PQ=ST

Prove: QS=RS

Answers

Answer:

sir plz said that diagram in which it's is say

Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?

Answers

Answer:

parallelogram

Step-by-step explanation:

slope of DE = (4-7) / (-4 - 2) = 1/2

slope of FT = (-3 - -6) / (11-5) = 1/2

DE // FT

slope of EF = (-6 - 4) / (5 - -4) = - 10/9

slope of DT = (-3 - 7) / (11 - 2) = - 10/9

EF // DT

The quadrilateral is formed by the vertices  D(2, 7), E(-4, 4), F(5, -6), and T(11, -3) will be a parallelogram.

What is a parallelogram?

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

Given that quadrilateral, DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3).

Slope of DE = (4-7) / (-4 - 2) = 1/2

Slope of FT = (-3 - -6) / (11-5) = 1/2

DE is parallel to  FT.

Slope of EF = (-6 - 4) / (5 - -4) = - 10/9

Slope of DT = (-3 - 7) / (11 - 2) = - 10/9

EF is parallel to DT.

Therefore, the quadrilateral is formed by the vertices  D(2, 7), E(-4, 4), F(5, -6), and T(11, -3) will be a parallelogram.

To know more about parallelogram follow

https://brainly.com/question/970600

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10. The temperature in New York was -8.7 degrees. In Maryland the
temperature was 33.1 degrees. How many degrees warmer was the
temperature in Maryland?
a) 41.8
b) 24.4
c) 38.6
d) 19.8

Answers

b) 24.4

Step-by-step explanation:

Is known :

The temperature in New York was -8,7 degrees,In Maryland the temperature was 33,1 degrees.

Asked :

Many degrees warmer was the temperature in Maryland?

Answered :

33,1 + (-8,7)

= 24,4

-3+(-6) is ___ units from -3 in the positive or negative direction.

Answers

Answer:

-3+(-6) = -9

Step-by-step explanation:

a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 4, -3+i​

Answers

Answer:

Step-by-step explanation:

f

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x

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(

x

1

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(

x

(

3

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(

x

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f

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(

x

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(

x

2

x

(

3

+

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+

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+

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f

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6

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+

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=

x

3

x

2

6

x

2

+

16

x

10

How many feet are in Y yards?
Make an expression.​

Answers

Answer:

The conversion factor from yards to feet is one yard equals three feet.

Category of conversion: Length: The SI standard unit for length is the meter. meter (m)

Step-by-step explanation:

Answer:

Sorry what is y yards don't get you

Please help with geometry homework, i am not sure.

Answers

Answer:

option C is correct

place the compass at point F and draw another large arc.

hope this answer helps you dear!

GIVING 100 POINTS! just answer these 5 and ignore my answers, unless they are somehow correct!

Answers

#1

(-3,1)(3,-3)

[tex]\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]

Slope of the line perpendicular to it (Reciprocal of line slope)

[tex]\\ \sf\longmapsto \dfrac{-3}{2}[/tex]

Option B

#2

Attached(1)

#3

Attached (2)

#4

Attached (3)

#5

(-3,7)(3,3)

[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]

Put in slope intercept form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b[/tex]

[tex]\\ \sf\longmapsto 3=b-2[/tex]

[tex]\\ \sf\longmapsto b=3+2=5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x+5[/tex]

Option C

Find the tangent of <X


Simplify your answer and write it as a proper fraction, improper fraction, or whole number.​

Answers

Answer:

tangent = perpendicular / Base

if our angel is x

then

base = 3

perpendicular = 4

which means

angle X = 4/3

Step-by-step explanation:

hope it helps

write the slope intercept form of the equation for each line

Answers

Answer:

y = x + 2

Step-by-step explanation:

slope-intercept form is y=mx+b

The y-intercept ( b ) is the point where the line touches the y-axis. in this case, 2

The slope, m,  is rise over run. You can see that as the graph rises 2, it also runs 2.

The fraction is 2/2 which simplifies to 1

Slope-intercept form is y = 1x + 2, or y = x + 2

-Chetan K

Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. The y-intercept and slope are needed to graph the equation in non-function form.

Solving:

When you graph a linear equation in slope-intercept form, you always want to start with “b” (the y-intercept) because it’s the starting point. Then you want to count how many units the line rises (+/-) compared to how many units the line runs (Left/Right). Therefore “m” (the slope) is the ratio of change in the y-values to the x-values: rise/run.

So, we can see that the line intercepts the y-axis at (0, 2). Therefore b=2. Now the slope rises 1 unit and runs 1 unit. Therefore m=1/1=1.

We know can plug in the values b=2 and m=1 to the slope-intercept form:

y=1x+2 OR y=x+2. Note: y=1x+2 = y=x+2, so whatever one your teacher prefers.

Therefore, your answer is y=x+2 or y=1x+2

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 115 miles per hour. How long will it take for the two trains to be 546 miles apart?

Do not do any rounding.

Answers

Answer:

2 hours and 36 minutes

Step-by-step explanation:

First you calculate the sum of the speeds:

115 + 95 = 210, It means every hour they get 210 miles apart.

Now the question wants the time of 546 miles apart.

You need to divide 546 to 210.

[tex]\frac{546}{210}=2.6[/tex], It gives us 2.6 hours.

2 hours + 0.6 hour.

2 hours + 0.6 × 60 minutes = 2 hours + 36 minutes

I hope it helps you. Please choose my answer as the BRAINLIEST.

Hello, hope everyone is well, please help on this Drag and Drop question (:

Answers

7 × 100
+ 0 × 10
+ 6 × 1
0 x 0.1 1/10
+ 3 × 0.01 1/100
+ 9 × 0.001 1/1000

6. James Farber drives 498 miles in
11 hours. The total length of
his trip is 826 miles. How much
farther does he have to drive?

Answers

Answer:

328

Step-by-step explanation:

The question says how much farther so you take the total distance minus what he has traveled.

Options for #1
15.6
50.42
56.4
91.22
91.55
107.15

Options for #2
50.42
91.22
91.55
107.15
141.97
147.95

Answers

1. 56.4

2.107.15

So for the first one I subtracted like this:53.41- -2.99=56.4

You may be wandering why i subtracted that way,I did that because you are meant to subtract and the second number already has a negative sign which is MINUS.

And for the second I subtracted the smaller number from the bigger number this way:144.96 ‐ 37.8

Hope this helps...

56.4107.15

Is your answer.

The perimeter of this rectangle is 20cm, what’s the missing side?

Answers

Answer:4 cm

Step-by-step explanation:

Formula for perimeter of a rectangle: P = 2(l+w)

20 = 2(6+w)

20 = 12+2w

divide by 2

10 = 6 + w

10-6 = w

4 = w

Two cards are drawn at random from an ordinary deck of 53 cards determine if the probability that both cards are diamonds if the first card is replaced before the second Drawn is

Answers

There are only 52 cards in a deck to begin with so not 53. There are 13 of each card. Meaning a 1 in 4 shot the first time and then 1 in 4 for you second try. Multiple you denominators and you get 4x4 = 16. You have a one in 16 chance of 2 diamond cards in a row or 6.25% chance

Is y=3^2-x+5 linear on non linear

Answers

It is a linear function. If you simplify the equation further:

y = 3^2 - x + 5
y = 9 - x + 5
y = -x + 14 (this is the slope-intercept form, y = mx + b).

Also, the highest degree term is 1, making it linear (the 3^2 is a constant).

Please mark my answers as the Brainliest if you find my explanation helpful :)

WHATS THE AREA OF THIS SHAPE

Answers

Answer:

388mm²

Step-by-step explanation:

First, divide the shape into 3 rectangles (like given in the picture)

A: 8*16 = 128

B: 7*25 = 125

C: 9*15 = 135

Area = A + B + C = 128 + 125 + 135 = 388

388mm²

What's the length of an arc with a central angle of 120° and a radius of 5 inches?
1) 10
43
inches
2) 10
inches
2
3) 10
inches
4) Sinches

Answers

Answer:

 10/3π ≈ 10.47

Step-by-step explanation:

Length of an arc = central angle/°in a circle · the formula for circumference of the circle.

Length of an arc = 120/360 · 2πr

Length of an arc = 1/3 · (2·π·5)

Length of an arc = 1/3 ·10π

Length of an arc = 10/3π ≈ 10.47

Question 7 (1 point)
Which graph represents the solution to 5 + 8x < 3(2x + 4),
A.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10
B.
-10 -9 -8 -7 -6 -5
-4 -3
-2 -1
0
1
2
3
4
5
6
7
8
9 10
C.
+ + +
-10-9-8-7 -6 -5
-4 3 2 1
+
2
0
0-
3 4
1
5
6
7
8
9 10
D.
-10
9 -8 -7 -6
-5
0+
3 4
4
-3 -2 -1
+
5
0
+
6
+
7
1
2
8 9 10
А
B
O a
Ob
oc
Od
С
D

Answers

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

An estimate of 14 divided by 2 1/9

Answers

7.11

………………………hope this helps

The bill for dinner was $36. Tom wanted to give a 20% tip. How much will he add for the tip? how much did he pay total l?​

Answers

Answer:$7.20 tip. $43.20 total

Step-by-step explanation:

1. $36x 0.20= 7.20 OR 10%=3.60 [move the decimal one spot to the left] x 2= 7.20

2. 36+7.20=43.20

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