Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
Answer:
12/35
Step-by-step explanation:
"2fifth" = 2/5
"6seventh" = 6/7
"times" = *
Multiply across:
(2/5) * (6/7) = 12/35
12/35 is your answer
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Answer: the area of the garden is 297 ft^2
Step-by-step explanation:
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.
Perimeter of a rectangle is expressed as 2(L + W)
L = length of the rectangle
W = width of rectangle.
Since the perimeter is 84ft
2(L + W) = 84
If the length of the garden is 24ft longer than the width of the garden, this means that
L = W + 24
Therefore
2(W +24 + W) = 84
2(2W +24) = 84
4W + 48 = 84
4W =84 - 48 = 36
W = 36/4 = 9
L = W + 24 = 9+24
L = 33 feet
Area if a rectangle is expressed as
Area = L× W
Area = 33 × 9 = 297 ft^2
It could represent Range or domain
