Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:

Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
The event will have 27 tables, with 2 adults and 3 children in each table.
Step-by-step explanation:
The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;
54 81----------------divided by 3
3 18 27---------------divided by 3
3 6 9---------------divided by 3
3 2 3---------------no common divisor
The greatest number of table will be given by : 3×3×3=27
The number of adults in each table will be 2
The number of children in each table will be 3
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Greatest common factor : brainly.com/question/13133626
Keyword : greatest number
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Answer:
120 miles
Step-by-step explanation:
120minutes= 2hour
2×60÷1=120 (miles)
Answer:
y=-4x+288
Step-by-step explanation:
every month he loses 4 lbs starting from his weight is at now
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative