Find the length of line segment UV.

Find The Length Of Line Segment UV.

Answers

Answer 1

Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In Δ ONT

∵ U is the mid-point of ON

∵ V is the mid-point of TN

→ That means UV is joining the mid-points of two sides

∴ UV // OT

UV = [tex]\frac{1}{2}[/tex] OT

∵ UV = 7x - 8

∵ OT = 12x + 8

7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)

→ Multiply the bracket by [tex]\frac{1}{2}[/tex]

∵ [tex]\frac{1}{2}[/tex] (12x + 8) =  [tex]\frac{1}{2}[/tex] (12x) +  [tex]\frac{1}{2}[/tex] (8) = 6x + 4

7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

UV = 76

The length of the line segment UV is 76 units


Related Questions

What comes between 1/2 and 2/3

Answers

Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

PLEASE HELP FAST AND CORRECT! 50 POINTS

Answers

Answer:

So glass 2/3 full than full 2/3 glass so full 3 than so

Step-by-step explanation:

SOURCE TRUST ME BRO

HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?

Answers

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195

Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:

- Each half-bushel is sold for $40.

- It will cost $15 of gas to drive the route.

Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.

(a) Calculate the orchard owner’s expected profit from driving the route.

(b) Calculate the standard deviation of the profit from driving the route.

Answers

Answer:

a) The orchard owner's expected profit from driving the route is $33.

b) The standard deviation of the profit is $27.28

Step-by-step explanation:

a) Data and Calculations:

Apples to sell = 4 half-bushels

Price of each half-bushel sold = $40

Sales revenue = $160 ($40 *4)

Cost of driving the route = $15

Expected values:

Event                          Probability  Revenue       Profit         Expected  Profit

No Sales                        40%            $0         ($15) ($0 - $15)        ($6.00)

Selling 1 half-bushel      30%         $40         $25 ($40 - $15)         $7.50

Selling 2 half-bushels   10%          $80         $65 ($80 - $15)        $6.50

Selling 3 half-bushels   10%         $120       $105 ($120 - $15)     $10.50

Selling 4 half-bushels   10%         $160       $145 ($160 - $15)     $14.50

Total expected profit = $33

Event                          Expected  Profit  Mean        Squared

                                                                       Difference

No Sales                            ($6.00)        -39             1,521

Selling 1 half-bushel           $7.50         -25.5           650.25

Selling 2 half-bushels        $6.50         -26.5           702.25

Selling 3 half-bushels      $10.50         -22.50         506.25

Selling 4 half-bushels      $14.50         -18.50          342.25

Sum of squared differences                                     3,722

Mean of squared differences = 744.4 (3,722/5)

Standard deviation = square root of the mean

= 27.28

= $27.28

A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?

Answers

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

Help me plzzz i need help.

Answers

Answer:

Perimeter: 7.8Area: 3.1

Step-by-step explanation:

Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1

I hope this helps!

A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle

Answers

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ1

Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7

Answers

Answer:

14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise

Answers

Answer:

I think the answer is 720!

Step-by-step explanation:

Which fraction is less than 1/2?

A. 3/8

B. 5/8

C. 5/7

D. 9/16

Answers

Answer:

a. vfsvcsgefceveggevehe

A.
4/8 would be 1/2 and 3/8< 1/2
The others are above 1/2

which expression is equivalent to 2n+n-0.65n

3n-0.65
3n - 0.35
2.65n
2.35n​

Answers

2.35n is equivalent. 2n + n is 3n, and 3n - 0.65n is 2.35n

Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.

Answers

Sorry, the text you have requested has been deleted. Make sure that you have the correct URL and the owner of the text hasn't deleted it.

What mathematical property is represented by the equation below

c+d=d+c

Answers

Answer:

Step-by-step explanation:

c+d=d+c

Associative Property

Find the 15th term of the arithmetic sequence whose common difference is d = 8 and whose first term is a,=5.​

Answers

Answer:

117

Step-by-step explanation:

Tn=a+(n-1)d

5(15-1)8

117

Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.

Answers

Answer:

0.02

Step-by-step explanation:

Given a normal distribution :

Mean income (m) = 25000

Standard deviation of income (s) = 6000

X ≥ 12000

Using the relation to fund the standardized score :

Zscore =(x - m) / s

Zscore = ( 12000 - 25000) / 6000

Zscore = -13000 / 6000

Zscore = - 2.167

Using a z probability calculator :

P(Z ≤ - 2.167) = 0.015117

= 0.02

A coat discount 40% off it's regular price. Which value is equivalent to 40%

Answers

0.4 ,2/5 as a fraction, and a ratio 2:5 !

The diameter of a circle is 6 millimeters. What is the circle's area?
d=6 mm
Use 3.14 pi

Answers

Answer:

28.26 mm

Step-by-step explanation:

The equation used to solve for the area of a circle is;

A=pi x r^2.

The radius is half the diameter, 6mm/2= 3mm.

A= 3.14 x 3^2

3^2= 9

3.14 x 9 = 28.26 mm

or you could just type 3.14 x (3^2) = 28.26mm

The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116

Answers

Answer: X=31 y=92

Explanation:

What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4

Answers

Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

Find the next term of the following sequence. 25,10,4

Answers

Answer:

8/5

Step-by-step explanation:

25/10=2.5, 10/4=2.5, 4/2.5=1.6

Calculate the volume

Please show the steps...

Answers

Answer:

(a) 2.6 m^2

(b) 3.9 m^3

Step-by-step explanation:

(a)

ABCD is a trapezoid.

A = (B + b)h/2

A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2

(b)

The skip is shaped like a prism with trapezoidal bases.

V = area of base * height

V = 2.6 m^2 * 1.5 m = 3.9 m^3

Write each set of numbers in set-builder and interval notation

X>50

Answers

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

What value of x makes the following equation true?
15+3x=3(2−2x)

Answers

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]15 + 3x = 3(2 - 2x)[/tex]

-Use Distributive Property:

[tex]15 + 3x = 3(2 - 2x)[/tex]

[tex]15 + 3x = 6 - 6x[/tex]

-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:

[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]

[tex]15 + 9x = 6[/tex]

-Subtract both sides by [tex]15[/tex]:

[tex]15 - 15 + 9x = 6 - 15[/tex]

[tex]9x = -9[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D

Answers

Answer:

D. Julie’s assets decreased by more than her liabilities.

Hope it helps❣️

Enter the sum of the numbers as the product of their GCF and another sum.


35 + 56

The sum of the numbers as a product of their GCF is . please help im on a test!

Answers

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

brainliest be good peeps Calculate the missing term in each
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

10/55

6/7

9/12

10/15

PLEASE HELP NEED IN 10 MINUTES

Students in Ms. Castillo's art classes could choose to make a sculpture or paint a picture as their
final project. The ratio of those who chose to make a sculpture to those that chose to paint a
picture was 3 to 7. There were 24 students who chose to make a sculpture. Let p be the number
of students who chose to paint a picture. Set up a proportion that will allow you to solve for the
value of p.

Answers

Answer:

8:56

Step-by-step explanation:

3:7

24/3=8

8 times 7=56

20 plus 4000???????​

Answers

Answer:

4020

Step-by-step explanation:

I'm such a smart man

You walking against the wind. Your normal speed without the wind is 5mph. How long will it takes you to cover a distance of 5miles if the wind slow you down to 4/5 of your normal speed?

Answers

Answer:

1.25 hours

Step-by-step explanation:

So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!

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