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
user100 [1]
3 years ago
8

Find the length of line segment UV.

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

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 = \frac{1}{2} OT

∵ UV = 7x - 8

∵ OT = 12x + 8

∴ 7x - 8 = \frac{1}{2} (12x + 8)

→ Multiply the bracket by \frac{1}{2}

∵ \frac{1}{2} (12x + 8) =  \frac{1}{2} (12x) +  \frac{1}{2} (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

You might be interested in
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
11111nata11111 [884]
You need to add 8 and -3 together to get 5 and divide 5 by 2 to get 2.5
That is the x coordinate
You then need to add 2 and -4 together to get -2 and divide by 2 to get -1
This is the y coordinate
(2.5,-1)
8 0
3 years ago
Does someone know if it is right? Please, if you don't know, it ok, but don't answer. PLEASE!
Firlakuza [10]

Ya I believe that is the answer. I got the exact same thing.

6 0
3 years ago
Read 2 more answers
I need help plz i dont understand
sveta [45]
Line 1 is parallel and slope -1.33333 or -4/3
Line 2 is parallel and slope 0.75 or 6/8
Line 3 is parallel and slope 0.75 or -3/-4 i got the answers on Omni calculator
7 0
2 years ago
Find the values of x and y
Sergio039 [100]

Answer:

i think

x=36 and y=13

Step-by-step explanation:

4 0
2 years ago
What is the Answer to this problem 75x+2=
pashok25 [27]
75x+2=
75x-2=-2. move the 2 to the other side
75x=-2 now divide 75 both sides

75/75x=-2/75
x=-2/75
4 0
3 years ago
Other questions:
  • What is the constant of proportionality in y=5x
    15·1 answer
  • What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?
    14·2 answers
  • Emma had 154 stamps and her sister had 248 stairs they come binders collections and put the stands in an album if they want to p
    8·1 answer
  • Is 17 0.02 irrational or rational
    7·1 answer
  • Write a linear equation with a slope of -9/5 and passes through the point (10,-2).
    8·1 answer
  • Am I correct? Let me know and give an explanation.
    6·2 answers
  • What is cos(37pi)?<br> A. 1<br> B. 0<br> C. -1<br> D. -2
    6·1 answer
  • Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs
    10·1 answer
  • (5,10)-(2,2) simplify​
    10·2 answers
  • What is the quotient of (x3 3x2 5x 3) Ă· (x 1)? x2 4x 9 x2 2x x2 2x 3 x2 3x 8.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!