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
Vesnalui [34]
3 years ago
14

Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)

, N(1,2), O(4, y)
Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

In triangle ABC:

|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2    }=\sqrt{45}

In triangle MNO:

|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2    }

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8

Hence O = (4, 8)

You might be interested in
400(800s) = what is the answer
QveST [7]
Multiply 400 by 800s to get 320000s
3 0
4 years ago
Sorry about it being a little blurry lol
photoshop1234 [79]

Answer:

D. ±11

Step-by-step explanation:

x = ±\sqrt{121} which simplifies to:

x = 11 and x = -11 (which is basically ±11)

6 0
3 years ago
Read 2 more answers
What does 42 represent in the data set?
Marina86 [1]
Median is the answer
3 0
3 years ago
Read 2 more answers
Explain why 2n+1 must be an odd number
makvit [3.9K]
Any integer number multiplied by 2 is even. So if you add 1 to an even number it becomes odd
6 0
3 years ago
Can someone help me on these
hjlf
Irrational Numbers are numbers that cannot be expressed as a ratio. They are long decimals that never end and do not repeat. 
For number 1:
A) Circle -6.123638...
B) Circle -4π
C) Circle √10 /2
D) Circle 3.1415
For number 3:
A) To get rid of the exponent 2, you square root both sides and you get 
x= 12
B) 4*4*4 equals 64.
x=4
Hope this helps!
6 0
4 years ago
Other questions:
  • In the summer of 2014, the average listing price for homes for sale in the Hollywood Hills was $2,663,995.
    11·1 answer
  • Let p and q be the propositions "Swimming at the New Jersey shore is allowed" and "Sharks have been spotted near the shore," res
    8·1 answer
  • I’m confused on this one
    10·1 answer
  • Which of the following sets could be the sides of a right triangle?{2, 3, square root of 13} {5, 5, 2, square root of 10} { 5, 1
    6·1 answer
  • Z varies directly with x and inversely with y when z=30, x=3, y=2
    13·1 answer
  • 4m-3/4=-9+4m/8 this is my question that i need help with
    12·2 answers
  • What is the quotient of 2 by 1/2 to 5/8
    14·1 answer
  • Help would be really nice here just a bit lost
    10·1 answer
  • Regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all
    15·1 answer
  • Please help i don't understand!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!