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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$

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Please help!!! Need help ASAP!

DIA [1.3K]

Answer:

ag=74 and ed=83

Step-by-step explanation:

super simple actually

3 0

3 years ago

Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer

spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.

Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0

2 years ago

For the piecewise function, find the values h( - 6), h(0), h(5), and h(9).- 5x – 13, for x < -3h(x) = { 5, for - 35x<5for

sleet_krkn [62]

Given the piecewise function h(x):

$h(x)=\begin{cases}-5x-13,x$

-When x is less than "-3", h(x)=-5x-13

-When x is between -3 and 5, h(x)=5

-When x is greater than or equal to 5, h(x)=x+1

1) For h(-6), this notation indicates that you have to determine the value of h(x) when x=-6

-6 is less than -3, which means that for this value of x, the function has the following shape

$h(x)=-5x-13$

Replace the expression with x=-6 and calculate the corresponding value of x:

$\begin{gathered} h(-6)=-5(-6)-13 \\ h(-6)=30-13 \\ h(-6)=17 \end{gathered}$

2) For h(0), you have to determine the value of h(x) when x=0. Zero is between -3 and 5, for this value of x, the function h(x) has the following shape:

$h(x)=5$

This equation represents a horizontal line, which means that for every value within the interval of definition -3≤x<5, the function always has the same value h(x)=5

We can conclude that:

$h(0)=5$

3) For h(5), you have to determine the value of h(x) for x=5, for values of x greater than or equal to 5, h(x) has the following shape:

$h(x)=x+1$

Replace the expression with x=5 and calculate the corresponding value of h(x):

$\begin{gathered} h(5)=5+1 \\ h(5)=6 \end{gathered}$

4) For h(9), you have to determine the value of h(x) when x=9, 9 is greater than 5, for this value of x, the function has the following shape:

$h(x)=x+1$

Replace the expression with x=9, and calculate the corresponding value of h(x):

$\begin{gathered} h(9)=9+1 \\ h(9)=10 \end{gathered}$

So, to sum up:

$undefined$

5 0

1 year ago

Unit 2: Sequences

Zolol [24]

Answer:

steps below

Step-by-step explanation:

7, 11, 15, 19 ...

common difference (d) = 11-7 = 4

Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4

Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3

15th term: A(15) = 4 * 15 + 3 = 63

8 0

3 years ago

Which formula can be used to describe the sequence?

statuscvo [17]

Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity. If that is not what you are given, there is no answer.

Discussion
The minus sign is misplaced. There are 2 reasons.
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1

Answer: There is no answer, but you could try C if D does not work.

6 0

3 years ago

Read 2 more answers