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
Artemon [7]
2 years ago
6

You have this information about ΔABC, ΔDEF, and ΔGHI:

Mathematics
2 answers:
pychu [463]2 years ago
8 0
<span>ΔABC, ΔDEF, and ΔGHI
</span>
I think all triangles are congruent. 2 sides and 1 angle of each triangle is has the same measure. Making these triangles congruent in SAS theorem.
zavuch27 [327]2 years ago
8 0

Answer: ΔABC, ΔDEF, and ΔGHI

Step-by-step explanation:

Given: In ΔABC, ΔDEF, and ΔGHI:

AB = DF               AB = GI

BC = HI                DE = HI

m∠B = m∠D = m∠I

In ΔABC and ΔGHI

AB = GI  [given]

BC = HI  [given]

m∠B =  m∠I  [given]

[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]

∴ ΔABC ≅ ΔGHI [by SAS congruence postulate]

In ΔABC and ΔDEF

AB = DF [given]

BC = DE [ Since BC = HI  and DE = HI so by transitive property BC = DE]

m∠B =  m∠D  [given]

[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]

∴ ΔABC ≅ ΔDEF [by SAS congruence postulate]

Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF

⇒  ΔGHI ≅ ΔDEF [transitive property]

Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.

You might be interested in
What is 79.623 rounded to the nearest hundred??
kondaur [170]
79.623 rounded to the nearest whole would be 80 
8 0
3 years ago
An equation of a line perpendicular to the line represented by the equation y = -
dem82 [27]

Answer:

y= 1/2x+1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Help please, Topic: Arrangments
Pavlova-9 [17]

Answer:

360

Step-by-step explanation:

Given

Digits: 0 to 5

Required

Number of 4 digit passcode that can be generated.

First, we need to get the number of usable digits.

Digits 0 to 5 = 0,1,2,3,4,5

Number of digits = 6

To make a 4 digit passcode;

The first digit can be taken from any of 6 digits

The second digit, any of the remaining 5 digits

The third digit, any of the remaining 4 digits

The fourth digit, any of the remaining 3 digits

Number of passcode = 6 * 5 * 4 * 3

Number of passcode = 360

6 0
3 years ago
A slice of carrot cake from The Cheesecake Factory contains 1,560 calories. This represents 75% of the average daily calorie req
Dennis_Churaev [7]

Answer:

Step 1 of 5

(1). Familiarize.

<em>The energy in the slice of carrot cake is described in terms of the requirement of energy of an adult on a day. </em>

<em> </em>

<em>So we let x calories = the requirement of energy of an adult on a day.</em>

<em>3/4 ( x ) calories </em>

<em> </em>

<em>Then  is the energy in the slice of carrot cake. </em>

<em> </em>

<em>The energy in the slice of carrot cake is 1560 calories.</em>

<em />

4 0
2 years ago
Read 2 more answers
Hey, Its the same person. This is Algebra 2. Please Help!
suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = \frac{2x^2+5x-12}{x+4} ← factorise the numerator

     = \frac{(x + 4)(2x-3)}{x+4} ← cancel (x + 4) on numerator/ denominator

     = 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

There is a zero at ( \frac{3}{2}, 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( \frac{3}{2}, 0 )

7 0
3 years ago
Other questions:
  • Bill said, “I am half as old as my sister was last year.” If Bill is now 8 years old, how old is Bill’s sister?
    9·1 answer
  • Just number 16 please<br> thank you sooooooo much
    5·1 answer
  • The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 4 miles east and 4 m
    7·2 answers
  • You purchase a pair of jeans online. You will be charged 6% sales tax on the jeans and an additional shipping charge of $8.95, w
    6·1 answer
  • 5x + 7 = 42, Is x = 7 the solution for this equation? Justify your answer for<br> it is or it is not
    14·2 answers
  • HELP ASAP!!simplify the following<br>(-8z)^2
    14·1 answer
  • Please Help.<br> Algebra.
    12·1 answer
  • What is figure formed by two rays that originate from the same point?
    10·1 answer
  • Plz Help me I need help
    8·1 answer
  • Index and laws<br><br> evaluate <br> A) 55^0<br> B)100^1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!