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
Rachel is collecting donations for the local animal shelter. So far she has collected , which is of what she hopes to collect. H
Rudiy27

Answer:

The money Rachael plan to collect for the shelter is <u>$345</u>.

Step-by-step explanation:

<u><em>There are some data missing in the question, so below is the complete question:</em></u>

Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?

Now, to find the money Rachael plan to collect for the shelter.

Let the total money Rachael plan to collect be x.

The amount far she has collected = $245.

Percentage of amount she hopes to collect = 70%.

Now, to get the total money Rachael plan to collect:

70\%\ of\ x=245

\frac{70}{100} \times x=245

0.70x=245

<em>Dividing both sides by 0.70 we get:</em>

x=\$345.

Therefore, the money Rachael plan to collect for the shelter is $345.

8 0
3 years ago
Please help help please
Burka [1]
(fog)(x)= f(g(x))=f(2)= 2
4 0
3 years ago
NEED HELP FAST PLEASE<br> Evaluate the limit.<br><br> a.4<br> c.1<br> b.2<br> d.limit does not exist
BlackZzzverrR [31]
We have the following limit:
 (8n2 + 5n + 2) / (3 + 2n)
 Evaluating for n = inf we have:
 (8 (inf) 2 + 5 (inf) + 2) / (3 + 2 (inf))
 (inf) / (inf)
 We observe that we have an indetermination, which we must resolve.
 Applying L'hopital we have:
 (8n2 + 5n + 2) '/ (3 + 2n)'
 (16n + 5) / (2)
 Evaluating again for n = inf:
 (16 (inf) + 5) / (2) = inf
 Therefore, the limit tends to infinity.
 Answer:
 
d.limit does not exist
7 0
3 years ago
What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures ar
Sergeeva-Olga [200]

Answer: 5/2 and 25/4

Step-by-step explanation:

6x5=30

6x2=12

...

say these were perfect squares,

12x12= 144

30x30= 900

900/144 = 25/5

8 0
3 years ago
Choose the triangle that seems to be congruent to the given one.
Katena32 [7]

EGD, the sides look the same

4 0
3 years ago
Other questions:
  • Solve the equation. 49+b^2=625.
    5·1 answer
  • The volume of 10,000 drops of a liquid is 1 fluid ounce. What is the volume of 100 drops?
    12·1 answer
  • Which of the following is generally not true about statistical sampling as compared to nonstatistical sampling? (A) Statistical
    8·1 answer
  • What dimensions of the box are required to fit the candle? 5 by 6 by 18 7 by 6 by 18 5 by 3 by 18 7 by 3 by 18
    8·1 answer
  • In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 25. What are the possibl
    9·1 answer
  • F(n)=2n-5 ;find f (-8)
    12·2 answers
  • What is the scale factor from figure a to figure b
    13·1 answer
  • Is the following relation a function?
    7·2 answers
  • What does X and Y equal?
    5·1 answer
  • Lourdes has created the following challenges for you: She has given you three of the four points necessary to determine a rectan
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!