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
Hunter-Best [27]
3 years ago
7

Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor

responding angles are congruent. She said that this is only five pairs of congruent corresponding parts, so it is not possible to conclude that △KLN is congruent to △MNL. Do you agree with Kelly's reasoning? Complete the explanation.

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

  • Angle-Angle-Side Theorem (AAS theorem).
  • Hypotenuse-Leg Theorem (HL theorem).
  • Side-Side-Side Postulate (SSS postulate).
  • Angle-Side-Angle Postulate (ASA postulate).
  • Side-Angle-Side Postulate (SAS postulate).

In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

You might be interested in
Best tip for Maths test to figure out challenging problems​
padilas [110]
  • First solve the easier questions which can be solved in very low time.
  • Drop out the harder questions for last.
  • After completing the easier questions take your time to complete harder ones.
  • Stay away from unsolvable questions
3 0
3 years ago
Reed uses 8 pieces of glass per square foot to make a stained glass window. How many pieces of glass will he need to make a wind
laiz [17]
To solve the problem posed in the statement we need to know the equivalence between squared foot and squared inches, and that is:
1 square foot = 144 square inches
So Reed uses 8 pieces of glass per 144 squared inches as well.
Now we can use a rule of three, simple and direct proportion to solve the question, it goes like this:
144 squared inches ------> 8 pieces glass
864 squared inches ------> x

x = (864)(8)/144
x = 48
Hence, Reed will use 48 pieces of glass to make a window that is 864 square inches.
8 0
3 years ago
What is 365 + 100? ANSWER FAST!!!
ycow [4]

You line up the numbers shown in the photo, then add each column

3 0
3 years ago
Read 2 more answers
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
Bond [772]
Given that r=\theta, then r'=1

The slope of a tangent line in the polar coordinate is given by:

m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}

Thus, we have:

m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}



Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

\sin\theta+\theta\cos\theta=0 \\  \\ \theta\cos\theta=-\sin\theta \\  \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488



Part B:

For vertical tangent lines, \frac{1}{m} =0

Thus, we have:

\cos\theta-\theta\sin\theta=0 \\  \\ \Rightarrow\theta\sin\theta=\cos\theta \\  \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

</span>θ = <span>4.91718592528713</span>
3 0
3 years ago
Zack has an old car. He wants to sell it for 60% off the current price. The
Lelechka [254]

Answer:

300 dollars

Step-by-step explanation:

60% of 500

(60/100) * 500 = 300

4 0
3 years ago
Other questions:
  • Joseph buys a bag of 60 pieces of taffy. In the bag, there are 12 cinnamon pieces, 18 raspberry pieces, 18 key lime pieces, and
    11·1 answer
  • if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x
    14·1 answer
  • Which decimal is equivalent to 28 19/100
    10·2 answers
  • Solve the equation Square root X+4-3=1 for the variable. show each step of the solution process
    7·1 answer
  • If x / y is an integer, which of the following statements must be true?
    9·1 answer
  • What are parallel lines cut by a transversal?
    7·1 answer
  • I will mark you brainliest if you get the question right
    14·2 answers
  • There are 4 pizzas and 3 people.
    7·1 answer
  • What is the slope and y-intercept for the line y = -2x
    12·2 answers
  • Show how you would convert 500 A.U. into light-years.<br><br> Someone please help I’m so lost
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!