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Westkost [7]
3 years ago
7

Segments in Circles TW=3, CW=x, TU=x+7, VW=6. Find the value of x.

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

x=2

Step-by-step explanation:

The diagram is attached below

  • TW=3
  • CW=x
  • TU=x+7
  • VW=6

TU=TW+WU

x+7=3+WU

WU=x+7-3

WU=x+4

To determine the value of x, we apply the theorem of intersecting chords.

TW X WU = CW X WV

x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\$Divide both sides by x\\x=2

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The solution of this question
nata0808 [166]

9514 1404 393

Answer:

  30°, 150°

Step-by-step explanation:

You know the answer to this because you have memorized the short table of trig function values.

  sin(θ) = 1/2 for θ = 30° and θ = 150°

5 0
3 years ago
At a bargain store.Tanya bought 5 items that each cost the same amount. Tony bought 6 items that each cost the same amount, but
Ray Of Light [21]

(A) For x representing the cost of one of Tanya's items, her total purchase cost 5x. The cost of one of Tony's items is then (x-1.75) and the total of Tony's purchase is 6(x-1.75). The problem statement tells us these are equal values. Your equation is ...

... 5x = 6(x -1.75)

(B) Subtract 5x, simplify and add the opposite of the constant.

... 5x -5x = 6x -6·1.75 -5x

... 0 = x -10.50

... 10.50 = x

(C) 5x = 5·10.50 = 52.50

... 6(x -1.75) = 6·8.75 = 52.50 . . . . . the two purchases are the same value

(D) The individual cost of Tanya's iterms was $10.50. The individual cost of Tony's items was $8.75.

6 0
3 years ago
The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
RoseWind [281]

Correct answer:

19.7ft

Explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

Correct Answer →19.7ft

Hope this helps!

Sincerely; Victoria<3

8 0
3 years ago
Help me on this i will give brainliest to the first answer
noname [10]

Answer:

I would say try D and then try A

Step-by-step explanation:

7 0
3 years ago
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The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-ei
Marta_Voda [28]

Answer:

99

Step-by-step explanation:

The mean = 90 days

standard deviation = 20 days

P(Z < z) = 68 %

getting the value of z-score from the standard normal table of 0.68

z = 0.47

P(Z < 0.47) = 0.47 * 20 + 90 = 99

7 0
3 years ago
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