AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74

Answers

Answer 1
X is 6
AB is 53
BC is 21
Answer 2

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

Given,

B is between points A and C on AC.

AB = 8x + 5

BC = 5x - 9

AC = 74

We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.

What does it mean to have a point between two points of a line?

If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.

Example:

M______N____________O

Then,

MN + NC = MO

Find the equation that represents AC with point B between A and C.

We have,

A______B___________C

AB = 8x + 5

BC = 5x - 9

AC = 74

Now,

AC = AB + BC

74 = 8x + 5 + 5x - 9

74 = 13x - 4

13x - 4 - 74 = 0

Find x.

74 + 4 = 13x

78 = 13x

x = 78 / 13

x = 6

Find AB

AB = 8x + 5  

= 8x6 + 5

= 48 + 5

= 53

Find BC

BC = 5x - 9

= 5x6 - 9

= 30 - 9

= 21

Thus,

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

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Related Questions


Does this graph represent a function? What is the domain and range of the graph?
Yes; domain: all real numbers; range: y = 0
Yes; domain: all real numbers; range: y 2 0
No; domain: all whole numbers; range: y SO
Yes; domain: all real numbers; range: y > 0

Answers

Answer:

Yes; domain: all real numbers; range: y [tex]\geq[/tex] 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y [tex]\geq[/tex] 0

*Note: Domain are the x values & Range are the y values

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

From the given graph we need to check whether it is a function.

What is the domain and range?

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the graph we can see all the y values are equal and greater than y.

That is, y ≥ 0

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

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i'm over this please

Answers

Answer:my answer is oooof

Step-by-step explanation:

x=127

since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127

F(x)=-2x^2 -5x+1
H(x)=3(x+3)^2-11

H(f(-1))=?

A.132
B. 136
C.140
D.144

Answers

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?

Answers

Answer:

$19.8

Step-by-step explanation:

To find the answer, find the  ratio.

Answer: 1980

Step-by-step explanation:

Set yp a proportion

5.60dollars=56texts

----------------   ----------

198dollars=    x

Then you cross multiply the 198 with the 56

then you divide the 5.60

Calculate the speed of a train traveled 400miles in 5 hours

Answers

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?

Answers

Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

determine which of the following pairs of triangles are similar.

Answers

C is the answer
they have equivalent sides and equivalent measurements

       Triangles given in Options (b) and (c) are similar.

Theorems of similar triangles:  If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property.  If corresponding sides of two triangles are proportional, both the triangles will be similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

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

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

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Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?

Answers

Answer:

305,200

Step-by-step explanation:

Fourteen decreased by twice a number equals -32. Write an equation for this equation and then find the number

Answers

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

when f(n)=-8 what is the value of n?

Answers

Answer:

20 the answer is 20 because you plug in 4 for n.

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

Answers

Answer:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

1. What is the solution for 2x-5=7

O x = 6
O x = -6
X = 12
O x = 9

Answers

Given, equation in the question which we have to solve is

[tex]2x - 5 = 7[/tex]

Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,

[tex]2x - 5 + 5 = 7 + 5[/tex]

[tex]2x = 12[/tex]

Divide 2 from both sides,

[tex] \frac{2x}{2} = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

So, the correct option is A.

━━━━━━━━━━━━━━━━━━━━

Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?

Answers

the equation is y = 3x-7

help me pls math is so confusing

Answers

here is what i got, it’s just a matter of dividing by 100 when you have to find the percent of something. then you times that number by whatever the percent is!

Pleaseeeeeee Help meee :(((((
(30 points)

Answers

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

HELP ME PLS THANK YOU<<<3333

Answers

Answer:

≈ 63.30 ft²

Step-by-step explanation:

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

1
3
1
miles in
20
hour. What
Park rangers at a game preserve in Africa observed a cheetah run 3
was the cheetah's speed in miles per hour (mph)?
9
A. mph
50
5
B. 5 mph
9
C. 72 mph
O D. 92 mph

Answers

The answer to the question is B

Which table represents a linear function?


1
1
y
1
2
1
XIN
1
2
2
2
3
4
9
13
21
3
12
2
3
AWNI
4
4
Х
1
у
0

2
3
4
6
16
30

Answers

Answer:

Step-by-step explanation:

H

Write and real-world problem that could be represented by the inequality below:

x+ 655 < 5x + 600

Answers

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

In Danville, the only hospital does not have an emergency room for badly injured patients. Patients with serious injuries are taken to the emergency room in Richmond, 9.8 miles away. On a map of the area, these two hospitals are 2 inches apart. What scale does the map use? Write your answer as a decimal or whole number.

1 inch = _ Miles

Answers

.2041 miles! please look at my picture for steps on how to do it

(-5)+(+7)=( ____) ???

Answers

Answer: 2

Step-by-step explanation:

4^3x4^7=? HURRYYYYYYYYYYY

Answers

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

A.)4
B.)10
C.)18
Which one could be the answer I’m lost.

Answers

f(x) = ((x^2) / 3) + x, for f(6)

f(6) = ((6^2) / 3) + 6

Square 6

f(6) = (36 / 3) + 6

Divide 36 by 3

f(6) = 12 + 6

Combine like terms

f(6) = 18

Someone please help and let it be the right answer I'm failing math

Answers

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

-5/7 (50/5 - 1/5) explanation too please

Answers

I have this question tooo

This is trigonometry!
I need help with what it means when it says “adjacent for 20 degrees” , “hypotenuse for 20 degrees” etc. ! Thanks

Answers

Answer:

Adjacent for 20° = 17.3mm

Hypotenuse for 70° = 120mm?

Opposite for 70° = 17.3mm

Hypotenuse for 20° = 120mm?

Adjacent for 70° = 10mm

Opposite for 20° = 10mm

Step-by-step explanation:

I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.

Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).

Answer:

  "adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.

Step-by-step explanation:

Since your question text involves identifying adjacent and opposite, that's what we'll explain.

In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.

__

Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.

The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.

__

In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)

So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.

For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.

__

The second attachment applies these ideas to your first (upper left) triangle.

__

As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then the applicable formulas clockwise from left are for Cos, Sin, Cos.

"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?

Anyone? Know how to do this

Answers

Answer:1=£34.2

2=£66.6

3=£9.18

4=£13,158

Step-by-step explanation:

We are decreasing the prices by 10%

1.£38

£38 = 100%

? =90%

90×38÷100=£34.2

2.£74

£74=100%

? = 90%

90×74÷100=£66.6

We are increasing the the salaries by 2%

1.£9

£9=100%

? =102

102×9÷100=£9.18

2.£12900

£12900=100%

? =102%

102×12900÷100=£13,158

Sort the objects according to their densities. Which will float? Which will sink?
Remember, water has a density of 1 gram per cubic centimeter.
Clay: 54 g/45 cm
Float in Water (density < 1 g/cm)
Sink in Water (density > 1 g/cm”)
Brick 38 g/20 cm
Oak wood: 56 g/80 cm
Wheat 24 g/30 cm
Butter: 8.7 g/10 cm

Answers

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

What way of solving systems would you Ik use for these two equations ? X=3 y=2x+1

Answers

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

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