Answer:
Option C is correct.
Two pairs of corresponding angles
Step-by-step explanation:
Given triangle XYZ has been dilated to form triangle LMN.
Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.
therefore, the triangle XYZ by a dilation is similar to triangle LMN
Similar figures have the
*same shape
*equal corresponding angle measures, and
*have proportional sides.
Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles
Two pairs of corresponding angles
B.7/10
C.9/12
D.4/15
13,440
14,400
100,800
Answer:
option 4
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
let width be w then length = 3w ( 3 times the width )
given A = 507
substitute these values into the formula for A
507 = 3w × w , that is
507 = 3w² ( divide both sides by 3 )
169 = w² ( take square root of both sides )
= , that is
13 = w
Then
length = 3w = 3 × 13 = 39 cm
The time taken to mow the entire lawn will be 23 minutes.
Let the total time taken be represented by x.
Based on the information given, the total time needed will be:
52% × x = 12
0.52 × x = 12
0.52x = 12
x = 12/0.52
x = 23.08
Therefore, the time taken to mow the entire lawn will be 23 minutes.
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