A, because anything with a dilation will not be congruent as the original PQR :))
Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = 
Since, scale factor = 
For Steffie,
Actual length of the crate = 
= 
= 45 inches
Actual width of the crate = 
= 36 inches
Since Brian used the scale factor = 
Length of the drawing = Actual length × Scale factor
= 45 × 
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × 
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
First we need to determine the type of progression in the question.That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progressionr = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rulea₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progressiona₁ = 2
Final answer:Recursive rule

a₁ = 2