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
Find the Volume of the retangular prism
patriot [66]

Answer: 28

Step-by-step explanation: 3 1/2 x 4 = 14 x 2 = 28

8 0
3 years ago
Read 2 more answers
Will mixes 1/4 gallon of milk and 1/2 gallon of chocolate syrup to make chocolate milk. Each serving is 1/16 gallon. How many se
Dennis_Churaev [7]

Answer:

12 servings!

Step-by-step explanation:

1/4 equals 0.25 gallons, 1/2 gallons is 0.5, so Will will have a mix of 0.75 gallons. If each serving is 1/16 and 1/16 equals 0.0625, divide 0.75 by 0.0625 = 12 servings.

6 0
2 years ago
At a soccer tournament 121212 teams are wearing red shirts, 666 teams are wearing blue shirts, 444 teams are wearing orange shir
Furkat [3]

Answer:

innappropiate question.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write the equation in slope intercept form points (-11,6) (5,-2)
love history [14]
The slope intercept formula would be - \frac{1}{2}
6 0
2 years ago
a fisherman weighs an ahi tuna (a very large fish) on a scale and gets a reading of 135 pounds. the reading on the scale may hav
mamaluj [8]

Answer:

Coin 1 = quarter

Coin 2 = dine

Coin 3 = penny

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement is true about the graphs of the two lines y=-8x - 5/4 and y= 1/8x + 4/5? The lines are perpendicular to each oth
    6·2 answers
  • How many cups of sugar is needed for 5 gallons
    10·1 answer
  • Write 2 decimals whose product is 0.16
    15·2 answers
  • I need help with this problem 5/6 divided by 1/4 please and thank you
    10·2 answers
  • HELP!<br> Simplify the sum.<br> d^2+4d+3/d^2-7d-8 + d^2-2d-8/d^2+5d+6
    12·1 answer
  • A = {1,3,5,6,7,8,9}<br> B = {3,7,12,13,14}<br> 6) ANB<br> 7) AUB<br><br> How do I solve this?
    9·1 answer
  • What is the length of YZ
    6·1 answer
  • The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was int
    8·1 answer
  • 23. The density of mercury is 13g/cm cubed. If there are 4 cm cubed of mercury, what is the mass?
    12·2 answers
  • While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!