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
diamong [38]
3 years ago
9

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

  • length of AB = √[(12-4)² + (8-8)²] = 8
  • length of AC = √[(12-4)² + (8-14)²] = 10
  • length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

  • length of MN = √[(4-4)² + (16-8)²] = 8
  • length of MO = √[(4+2)² + (16-8)²] = 10
  • length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

  • AB ≅ MN
  • AC ≅ MO
  • CB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

You might be interested in
Brainliest for whoever gets this right!
My name is Ann [436]

Answer:

x=\frac{(a^2+ab)}{a-b}

Step-by-step explanation:

So we want to make x the subject of the formula:

a(x-b)=a^2+bx

First, distribute the left side:

a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

(ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2

Remove the -ab from the left. Add ab to both sides. The left side cancels:

(ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab

Now, distribute out the x from the left side:

ax-bx=a^2+ab\\x(a-b)=a^2+ab

Divide both sides by (a-b). The left side cancels:

\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b}  \\x=\frac{(a^2+ab)}{a-b}

Therefore:

x=\frac{(a^2+ab)}{a-b}

5 0
3 years ago
Read 2 more answers
What's 28=4 times m m = what
Ratling [72]

Answer:

28 = 4m

28/4 = m

7 = m

m = 7

Hope this helps

5 0
3 years ago
Read 2 more answers
Solve (65/4)-3^2 asap plssss
earnstyle [38]

Answer: 29/4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please find the volume
Sindrei [870]

Answer:

27/4 units^3

Step-by-step explanation:

V= area of the base × length

V= 3 3/8 × 2

= 27/4 units^3

4 0
3 years ago
Read 2 more answers
Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year.
Vlad1618 [11]

Answer:

Use the formula.

P=P'(1-R/100)^T

where,

P=final rate

P'=initial rate

R=Rate of Depreciation

T=Time.

3 0
3 years ago
Other questions:
  • there are a total of 44 goats and chickens being raised. between them, they have 134 legs. how many goats are in total? how many
    8·1 answer
  • If you were going to apply statistical methods to analyze teacher evaluations, which question form, A or B, would be better? For
    10·1 answer
  • Can someone please answer. There one problem. There's a picture. Thank you!
    11·2 answers
  • What do I put in the boxes
    9·1 answer
  • I don’t know how to solve the equation
    11·1 answer
  • Attachment help for question c no explanation only answer thank you
    11·2 answers
  • Ben has 5/8 gallon of milk in a container. He used 3/8 gallon of milk to make a cale. How much milk is left in the container
    9·1 answer
  • Identify the type of sample used. Coaches pick 20 boys and 20 girls randomly from the basketball league to survey about practice
    13·2 answers
  • the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used
    12·2 answers
  • Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!