1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
3 years ago
9

Geometry

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<u>Given information</u>

TU = 4x

UV = 2x + 14

TV = 7x - 5

<u>Given expression deducted from the additive property of length</u>

TV = TU + UV

<u>Substitute values into the expression</u>

7x - 5 = 4x + 2x + 14

<u>Combine like terms</u>

7x - 5 = 6x + 14

<u />

<u>Subtract 6x on both sides</u>

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

<u>Add 5 on both sides</u>

x - 5 + 5 = 14 + 5

x = 19

<u>Find UV by substituting the value of x</u>

UV = 2x + 14 = 2 (19) + 14 = \boxed{52}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
Please help! it’s a true or false question plssss!
I am Lyosha [343]

Answer:

True

Step-by-step explanation:

4 0
2 years ago
Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?
nekit [7.7K]

Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

<em><u>Arranging </u></em><em><u>like </u></em><em><u>terms </u></em>

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

<h3>5 ( 20x - 21y + 14) </h3>
5 0
1 year ago
Read 2 more answers
What is 55,000 plus 50
yanalaym [24]

Answer:

55,050

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP PLS HELP, DUE IN 10 MINUTES
amid [387]

Answer:

A.  26.10 cm

B. 118.95 cm

Step-by-step explanation:

ST = 41^2 - 40^2 =  c^2  = hypotenuse

ST = 1681 - 1600 = c^2

ST = c^2 = sq rt 681 =26.0959767014 = 26.1cm

Nearest 100th = 26.10

Length = 26.10 cm to nearest 100th

Perimeter of RSU we find (M) of SU first then add that to the other 3 lengths on the exterior of the triangle.

SU = 10^2 + 26.1^2 = c^2 = hypotenuse

SU = 100 + 681.21 = c^2

SU = c^2 = sqrt 781.21 = 27.9501341678 = 27.95cm

P TOTAL RSU  = SU + TR + RS + TU

= 27.95 + 40+ 41 + 10 = 118.95cm

5 0
2 years ago
Read 2 more answers
Write an expression for the calculation double the product of 4 and 7.
Setler [38]

Answer:

2(4+7)

Step-by-step explanation:

The answer is above

8 0
3 years ago
Other questions:
  • 8 pieces of rope are cut into 13 lengths, how many pieces of rope are there?
    14·1 answer
  • Ted made a trip to his friends house and back. On the trip there he traveled 25 km/h and on the return trip he went 20 km/h. How
    15·1 answer
  • The length of the shadow of a building is 150 meters, as shown below: The shadow of a building is 150 meters long. The acute ang
    14·2 answers
  • sing a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column.Star
    13·1 answer
  • What is the volume of this rectangular prism?
    7·2 answers
  • Help i will give you brailenst
    9·2 answers
  • Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
    12·1 answer
  • What is the formula to find the volume of the solid ?
    8·1 answer
  • Which two grids have 25% shaded
    5·2 answers
  • PLEASE HELP ME
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!