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
chubhunter [2.5K]
3 years ago
8

△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

You might be interested in
Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet
Alexxandr [17]
To be honest with u I think that u need to multiply 10 times 48.. I think thats it not sure if is the 100% correct answer
6 0
3 years ago
Louis is saving money for a car, he invests $1,200 in an account that pays an interest rate of 7.5%. How many years will it take
Artist 52 [7]

Answer: n + d = 30

0.05n + 0.10d = 2.20

^^ ur system of equations

Step-by-step explanation:

3 0
3 years ago
Manny, Rachelle, and Peg race each other in carts. There are no other racers, and exactly one racer wins each race (no ties allo
Brums [2.3K]

Answer:

1 out of every 3 races could be won by Rachelle

Step-by-step explanation:

3 0
3 years ago
At the end of the year, a library reported 32 books lost or stolen, and 24 books were sent out for repair. If the library origin
Anettt [7]
We subtract 32 and 24 from 1219 and we get the answer. 1219-32-24=1163. 1,163 books were left.
5 0
3 years ago
Does anyone wanna be my friend? i need people to talk to while being quarantined ;/
GarryVolchara [31]

Answer: yes uwu

Step-by-step explanation:

Because yes owo

Also my insta is tsuyu._.teh._.frog

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which system of equations can you
    6·1 answer
  • 6/2=4/p= Can u help me with this math problem
    6·1 answer
  • PLEASE HELP ME I NEED TO PASS THIS!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • HELP PLS I NEED IN 5 MINUTES
    15·1 answer
  • Need help getting the answer and can someone plz explain ?
    5·1 answer
  • Greatest to least 1.11 , 0.111 , 1.01 , 1.001
    11·2 answers
  • Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
    9·1 answer
  • You walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 2
    5·1 answer
  • HELP ASAP!!!
    5·1 answer
  • The telephone company offers two billing plans for local calls. Plan 1 charges ​$ per month for unlimited calls and Plan 2 charg
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!