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
ra1l [238]
2 years ago
9

Find the value of x and the length of both chords if BW=2x+10, WD=4, CW=7x+5, and WE=2.

Mathematics
1 answer:
daser333 [38]2 years ago
5 0

Answer:

The value of x is 5

The lengths of the chords are 24 units and 42 units

Step-by-step explanation:

In a circle if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal

∵ BD and CE are two chords in a circle intersected at W

∴ The two segments of chord BD are BW and WD

∴ The two segments of chord CE are CW and WE

- By using the rule above

∴ BW × WD = CW × WE

∵ BW = 2x + 10 and WD = 4

∵ CW = 7x + 5 and WE = 2

- Substitute them in the rule above

∴ (2x + 10) × 4 = (7x + 5) × 2

∴ 4(2x) + 4(10) = 2(7x) + 2(5)

∴ 8x + 40 = 14x + 10

- Subtract 14x from both sides

∴ - 6x + 40 = 10

- Subtract 40 from both sides

∴ - 6x = - 30

- Divide both sides by - 6

∴ x = 5

∵ Chord BD = 2x + 10 + 4

∴ Chord BD = 2x + 14

- Substitute the value of x to find its length

∴ Chord BD = 2(5) + 14 = 10 + 14

∴ Chord BD = 24 units

∵ Chord CE = 7x + 5 + 2

∴ Chord CE = 7x + 7

- Substitute the value of x to find its length

∴ Chord CE = 7(5) + 7 = 35 + 7

∴ Chord CE = 42 units

You might be interested in
Due to a rise in popularity, Penny's firm begins to make hair bows rather than flower barrettes. She can make hair bows at a rat
Basile [38]

The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.

The highest wage the firm will pay is $24.95 per hour.

<h3>What is the value of Penny's marginal product?</h3>

This can be found by the formula:

= Price x Marginal product of Penny

= 4.99 x 5

= $24.95 per hour

The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.

Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.

Find out more on profit maximization at brainly.com/question/13749309.

#SPJ1

5 0
2 years ago
What is x² + 7x - 30​
Aleonysh [2.5K]

Are you looking for the value of x?

We can complete the square/factor:

x^2+7x-30=0

(x+10)(x-3)=0

By the zero product property rule, we have two equations, x+10=0 and x-3=0.

So the zeroes of x are -10 and 3

Hope this helped. Comment below if this didn't make sense.

6 0
3 years ago
Two planes are flying in opposite directions, away from each other, one with the speed of 800 km per hour and the other with the
allsm [11]
1640 km every hour is the answer
3 0
3 years ago
Read 2 more answers
A train heads south out of Bloomington an hour after a northbound train
ahrayia [7]

9514 1404 393

Answer:

  • northbound: 2.5 hours
  • southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

  (180 mi)/(120 mi/h) = 1.5 h

The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.

7 0
3 years ago
PLEASE PLEASE HELP the question is below
zmey [24]

Answer:

D)90

Step-by-step explanation:

First you work out 3^4 which is 81.

Then add 9 to it and it becomes 90.

5 0
3 years ago
Read 2 more answers
Other questions:
  • A photographer that is 3 inches wide by 5 inches long is being enlarged so that it is 12 inches long. How wide will the enlarged
    5·2 answers
  • What type of triangle is this?​
    6·2 answers
  • Find the simple interest on a $340 loan at a 12% annual interest rate for 5<br> years *
    11·2 answers
  • Giving Brainliest if correct!!
    12·2 answers
  • The floor of a conference hall can be covered completly with tiles.Its length is 36ft. longer than its width.The area of the flo
    15·1 answer
  • I need help on this question as well!
    13·1 answer
  • Can someone please help? This is difficult.
    14·1 answer
  • Guys right now help me please
    10·1 answer
  • 3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
    14·1 answer
  • 9/16+7/8=<br><br> A.)1-3/16inches<br> B.)1-7/16inches<br> C.)1-11/16inches<br> D.)1/-13/16inches
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!