All categories

3 years ago

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$

You might be interested in

Jamal has been approved for $125,000 loan, 30-year mortgage with an APR of 5.3%. He made a 10% down payment and is closing on Ap

Alex17521 [72]

Answer:

Step-by-step explanation:

Loan APR is 5.535%

Loan information:

Mortgage amount:

$125,000

Term in years:

Interest rate:

5.3%

Monthly payment:$694.13

7 0

4 years ago

Read 2 more answers

A point P(x,y) moves along the graph of the equation y = x3 + x2 + 2. The x-values are changing at the rate of 2 units per secon

CaHeK987 [17]

Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.

---------------------

The equation is:

$y = x^3 + x^2 + 2$

Applying implicit differentiation in function of t, we have that:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

x-values changing at a rate of 2 units per second means that $\frac{dx}{dt} = 2$
Point Q(1,4) means that $x = 1, y = 4$ .

We want to find $\frac{dy}{dt}$ , thus:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

$\frac{dy}{dt} = 3(1)^2(2) + 2(1)(2) = 6 + 4 = 10$

y is changing at a rate of 10 units per second.

A similar problem is given at brainly.com/question/9543179

5 0

3 years ago

Please help! Correct answer only, please! I need to finish this assignment this week. Given matrix A and B both have dimensions

Delicious77 [7]

Answer:

Option B is correct

Step-by-step explanation:

The multiply of matrix A by matrix B that is inverse of A, must result in an identity matrix that has form shown in option B

Hope this helps!

8 0

3 years ago

Why is 5x4 greater than 5 x 1/4 Explain.<br> I Need This Answer by today

bearhunter [10]

Because 5x4 is 20 but 5x1/4 is 1,25.

5 x 1 = 5... / 4 = 1,25
Or ... -> 1/4 = 0,25 * 5 = 1,25

;)

8 0

3 years ago

Read 2 more answers

What kind of construction is it??

pochemuha

That is an angle bisector.
It divides an angle in half
hope it helps

3 0

3 years ago