All categories

3 years ago

SU and VT are chords that intersect at point R.

Mathematics

2 answers:

vovikov84 [41]3 years ago

5 0

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

$\frac{RS}{RT} =\frac{RV}{RU}$

Where

$RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x$

Replacing all these expressions, we have

$\frac{x+6}{x+4} =\frac{x+1}{x}$

Solving for $x$ , we have

$x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4$

Now, notice that chord VT is form by the sum of RT and RV, so

$VT=VR+RT\\VT=x+1+x+4\\VT=2x+5$

Replacing the value of the variable

$VT=2(4)+5\\VT=8+5\\VT=13$

Therefore, the length of the line segment VT is 13 units.

otez555 [7]3 years ago

4 0

Answer:

13 units

Step-by-step explanation:

You might be interested in

Give the equation of the circle centered at the origin and passing through the point (0, -6).

pishuonlain [190]

Answer:

Step-by-step explanation:

vbbbbbbbbbvvvvvbbv

8 0

3 years ago

Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters.

SOVA2 [1]

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

7 0

3 years ago

An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passenger

maw [93]

F(x,n,p)=C(n,x)p^x*(1-p)^(n-x)
n=9, p=0.8 =>
f(x,9,0.8)=C(9,x)0.8^x*(0.2)^(9-x)

The function f(x,9,0.8) is then calculated using the above formula
x f(x)
0 0.0000001 0.0000182 0.0002953 0.0027534 0.0165155 0.0660606 0.1761617 0.3019908 0.3019909 0.134218

Check Sum f(x), [x=0,9] = 1.0 ok

4 0

3 years ago

What is the area of this polygon?

Cerrena [4.2K]

Answer:

<h2>39 units</h2>

Solution,

Total area=Area of ABCD+ Area of triangle ADE

 $(ab \times bc) + \frac{1}{2} \times ad \times ef \\ = (5 \times 6) + \frac{1}{2} \times 6 \times 3 \\ = 30 + 9 \\ = 39 \: {units}^{2}$ 

hope this helps...

Good luck on your assignment...

7 0

3 years ago

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's

alekssr [168]

Answer:

Step-by-step explanation:

I think. hope this hepls

5 0

2 years ago

Read 2 more answers