All categories

3 years ago

Suppose LMN=PQR Which congruency statements are true

Mathematics

1 answer:

zysi [14]3 years ago

6 0

A, D, E and F are all true statements.

When looking for congruence in these type of problems, you have to look for the order of the letters in the original listing. Since they are listed LMN and PQR, this means we have to focus on the placement of those letters. Since L is the first listed in the sequence, it is congruent with P, which is also listed first. M is congruent with Q since they are both in the middle, and N and R are congruent since they are both at the end.

Now to find true statements, you need to make sure everything matches up in the statement.

Let's take A for instance. It states that MN = QR. Now we know M is in the middle and N is at the end. Since Q is in the middle and R is at the end, they match and are therefore true.

You might be interested in

What is the value of x in the diagram below?

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

x = 6 - 3

x = 3

4 0

3 years ago

Read 2 more answers

Which of the following is not a congruence theorem or postulate A. ASA B. SSS C. SAS D. AAA

natka813 [3]

Answer:

D. AAA is not a congruence postulate

Step-by-step explanation:

6 0

3 years ago

The scatter plot shown gives the relationship between concentration and absorbance of a particular chemical, along with the line

Vesnalui [34]

Answer:

B) 0.24

Step-by-step explanation:

As we plot the point on the best fit line for the concentration of 0.2 the absorbance level predicted should be 0.24.

3 0

3 years ago

The function f(t) = t2 + 6t − 20 represents a parabola.

Novay_Z [31]

Part A: f(t) = t² + 6t - 20
  u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29

Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t |   g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 |   -28 | | 0  |   50 |
|1 | 76.8 | |  1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.

Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.

4 0

3 years ago

Read 2 more answers

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let X represen

n200080 [17]

Answer:

probability of x is 0.22 correct to two decimal places

Step-by-step explanation:

step 1. use the poisson formula given as

p(x) = (λˣe∧-λ) ÷x! where λ is the mean and it called lambda,λ = 3, e is mathematical constant and it approximately = 2.7183, x is the chosen value which is equal to 2, Λ is raise to power, ! is factorial sign

p(x=2) =( 3² x 2.7183⁻³) ÷ 2! = 0.22

3 0

3 years ago