1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veseljchak [2.6K]
3 years ago
11

If AB=x+4, BC=2x-10, and AC =2x+1, then find the value for x, AB, BC and AC

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

If A, B and C are collinear, then:

AB+BC=AC\\\\AB=x+4,\ BC=2x-10,\ AC=2x+1

substitute:

(x+4)+(2x-10)=2x+1\\\\(x+2x)+(4-10)=2x+1\\\\3x-6=2x+1\ \ \ |+6\\\\3x=2x+7\ \ \ \ |-2x\\\\x=7\\\\AB=x+4\to AB=7+4=11\\\\BC=2x-10\to BC=2(7)-10=14-10=4\\\\AC=AB+BC\to AC=11+4=15

You might be interested in
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height
joja [24]

\frac{137+150+144+149+x}{5} =141

x=125

Therefore, the man is shorter than 141 centimeters.

7 0
3 years ago
A cone has a diameter of 8 centimeters and a height that is 4 times the diameter. Using 3.14 for pi, which of the following can
Tju [1.3M]
535.8933333 centimeters.<span />
7 0
3 years ago
J) You spend $35. Tip is 15%. How much did you pay in total?
rusak2 [61]

Answer:

You paid $40.25 in total.

Step-by-step explanation:

In this question:

Spending of 35%

Tip of 15% means that 15% of 35 will be added to your total spending. So

T = 35 + 0.15*35 = 35 + 5.25 = 40.25

You paid $40.25 in total.

3 0
3 years ago
Which of the following operations could you perform on both sides of the given equation to solve it? check all that apply. 8x -
antiseptic1488 [7]
8x-2x=24+6
6x=30
6x/6=30/6
x=5
3 0
4 years ago
The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $
elena55 [62]

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

<u>Demand elasticity:</u>

At P = $30, the Q = 990 - 22×30 = 330. a = \frac{dQ}{dP} = -22

The formula for demand elasticity: E = \frac{dQ}{dP}×\frac{P}{Q}

Demand elasticity at $30: E = -22 × \frac{30}{330} = -2

So, The demand will be going down by 2% if 1% increase in price.

<u>Revenue:</u>

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

7 0
3 years ago
Other questions:
  • A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those su
    9·1 answer
  • What expression is equivalent to -0.2 - 4.9?
    13·1 answer
  • Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
    14·2 answers
  • Solve this Inequality 1 &gt; -1 - w
    9·1 answer
  • Of Canada's total area of 9,976,140 km² , 755,170 km² is water. To the nearest tenth of percent, what part of Canada is water?
    5·1 answer
  • Estamate the value of y when x = 2.5
    10·1 answer
  • Could someone please help
    8·1 answer
  • Darell buys a model railroad set online for $224.62. If shipping and handling are an additional 16% of the price, how much shipp
    15·1 answer
  • What was the problem at kenya airways described in this case? what management, organization, and technology factors contributed
    5·1 answer
  • Help and get what you want.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!