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
DedPeter [7]
3 years ago
5

The midpoint of Line

Mathematics
1 answer:
enyata [817]3 years ago
4 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y-1}{2} \right)~~=~~\stackrel{M}{(3~~,~~1)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\[-0.5em] \hrulefill\\ \cfrac{y-1}{2}=1\\[1em] y-1=2\\ \boxed{y=3} \end{cases}

You might be interested in
How many names for this ray
docker41 [41]

Answer:

Ray AC and Ray BC

Step-by-step explanation:

5 0
3 years ago
Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.
sasho [114]

Answer:

ASA  and AAS

Step-by-step explanation:

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

4 0
3 years ago
Read 2 more answers
What is a square root?
Vlad [161]
Number that produces a specified quantity when multiplied by itself
Example : “ 7 is a square root of 49 “ BECAUSE 7x7=49
6 0
3 years ago
Read 2 more answers
Nayelly is weighing how much of a solid resulted from a chemical reaction on a scale that reads to the nearest 18 ounce. The mea
77julia77 [94]
I think your answer is 680.8
6 0
3 years ago
Alex repairs clocks at a shop.· He earns $96 per day plus $16 per hour for every hour of overtime he works.· Each day, he wants
shutvik [7]
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
7 0
3 years ago
Read 2 more answers
Other questions:
  • How to graph 9x+15y=45
    11·1 answer
  • Sam is the perpendicular bisectors of tr. angle tsr=120. Find angle str
    5·1 answer
  • a bag contains 80 colored tokens.Of all the tokens in the bag, w5 are black and 15 out 16 are red. find, in percent form, the pr
    13·1 answer
  • Which expression is equal to
    5·1 answer
  • What is the answer to:<br> x + y = 4<br> Y= x+4<br> Using elimination
    14·1 answer
  • Different varieties of field daisies have numbers of petals that follow a Fibonacci sequence. Three varieties have 13, 21, and 3
    8·2 answers
  • Two trains leave towns 1370 kilometers apart at the same time and travel toward each other. One train travels 18 km/h faster tha
    12·1 answer
  • mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500
    14·1 answer
  • Please help guys I need to pass my semester final exam!
    8·2 answers
  • 39
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!