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kondaur [170]
2 years ago
6

ΔXYZ was reflected to form ΔLMN.

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
7 0

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>

Reflection is a rigid transformation, hence it produces congruent figures with congruent angles.

∠Y + ∠X + ∠Z = 180 (angle in a triangle)

86 + 38 + ∠Z = 180

∠Z = 56°

Also:

∠N + ∠M + ∠L = 180 (angle in a triangle)

86 + 56 + ∠L = 180

∠L = 38°

ΔXYZ was reflected to form ΔLMN, hence ΔXYZ ≅ ΔLMN, ∠X ≅ ∠L and XZ ≅ LN

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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( simultaneous equations)
daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4    

First  eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation  (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.






6 0
3 years ago
Fred and Stacey both have books to read over the summer. Fred has read 42 pages and Stacey has read 49 pages. What is the
mrs_skeptik [129]

Answer:

A. 6:7

Step-by-step explanation:

if you put the numbers together like so: 42:49 you can divide both sides by 7 and you would get 6:7

HOPE THIS HELPS!

3 0
3 years ago
Can someone answer 15 and 16 please I will mark u as brainliest
kifflom [539]

Answer:

just graph the problem so that you can answer

8 0
3 years ago
What are these numbers from greatest to least: 7.4, 6.55, -2.47, -18.33, -6.111, 7.66, 2.99, -18.9
Gekata [30.6K]
-18.9, -18.33, -6.111, -2.47, 2.99, 6.55, 7.4, 7.66
6 0
3 years ago
Use the number line below, where RS = 6y +3, ST = 4y +9, and RT = 72.
timurjin [86]

Answer:

a. 6y +3 +4y +9= 72

6y+4y+3+9=72

10y+12=72

10y=72-12

10y=60

10y/10= 60/10

y=6

7 0
3 years ago
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