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andrey2020 [161]
2 years ago
10

Triangles L M N and P Q R are congruent. Side L M corresponds to P Q, side Q R corresponds to M N, and side L N corresponds to P

R. Angles L and P correspond, angles M and Q correspond, and angles N and R correspond. Use the diagram to find the corresponding parts. Segment LM corresponds to segment . Angle R corresponds to angle .
Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
6 0

Answer:

Segment LM corresponds to segment

✔ PQ

Angle R corresponds to angle

✔ N

Step-by-step explanation:

sesenic [268]2 years ago
5 0

Given that ΔLMN and ΔPQR are congruent triangles, therefore the corresponding parts are:

  • LM ≅ PQ
  • ∠R ≅ ∠N

<h3>What are Congruent Triangles?</h3>

Congruent triangles has three pairs of congruent sides and three pairs of congruent angles that corresponds to each other.

Thus, given that, ΔLMN ≅ ΔPQR:

  • LM ≅ PQ
  • QR ≅ MN
  • LN ≅ PR
  • ∠L ≅ ∠P
  • ∠M ≅ ∠Q
  • ∠N ≅ ∠R

Therefore, given that ΔLMN and ΔPQR are congruent triangles, therefore the corresponding parts are:

  • LM ≅ PQ
  • ∠R ≅ ∠N

Learn more about congruent triangles on:

brainly.com/question/2938476

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There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
There are 3 bracelets with 6 beads how many beads are there together whats 3 times 6
Studentka2010 [4]

Answer:

18

Step-by-step explanation:

6 x 3 = 18

3 0
2 years ago
What is the approximate area of a regular pentagon with a side length of 6 feet and a distance from the center to a vertex of 6
Sergio [31]
The answer is 7,776.
6 0
3 years ago
Read 2 more answers
Please please help me no links
Slav-nsk [51]
pretty sure it’s 108 because each angle of a pentagon is 108
4 0
3 years ago
What are the real roots of 2x^3+9x^2+4x-15=0
klemol [59]
Well, luckily it is apparent that (x-1) is a root because when x=1 the equation is equal to zero.  So we can divide the equation by that factor to find the other roots. 

(2x^3+9x^2+4x-15)/(x-1)
2x^2  r  11x^2+4x-15
11x    r  15x-15
15     r   0

(x-1)(2x^2+11x+15)=0

(x-1)(2x^2+6x+5x+15)=0

(x-1)(2x(x+3)+5(x+3))=0

(x-1)(2x+5)(x+3)=0

So the roots are x= -3, -2.5, 1
8 0
3 years ago
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