X = 5
since we know y= 5 + x , plug this into y in the second equation.
2x + 2 (5 + x) = 30
distribute 2 into the 5 and x
2x + 10 + 2x = 30
combine like terms
4x + 10 = 30
subtract 10 from both sides
4x = 20
divide four by both sides to isolate the variable
x = 5
The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.
∠Z = 180 - 86-38 = 56°
Similarly,
∠L = 38°
From this, two triangles XYZ and LMN
We can say:
ΔXYZ≅ΔLMN
∠Y = ∠M = 86°
∠X =∠L = 38°
XZ ≅ LN
Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
Learn more about the geometric transformation here:
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Given data:
Assume the number is x.
The given expression is,
Thus, the given number is 44.
n - a number
"×" times
"-" difference
y = 12 × (n - 4) → y = 12(n - 4)
