The answer is 103/25
Hope this helps c:
Answer:
x <u>< </u>2.5
Step-by-step explanation:
The value of the scale factor is 3. Then the height and area of the triangle ΔABC will be 9 ft and 54 square ft.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
The area of the triangle ΔDEF is 6 square ft. And the base length of the triangle ΔDEF is 4 ft.
The area of the triangle is given as
Then the height of the triangle ΔDEF will be
Then the scale factor will be
Then the height of the triangle ΔABC will be
Then the area of the dilated triangle ΔABC will be
More about the dilation link is given below.
brainly.com/question/2856466
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Answer:
Arithmetic sequence:
Geometric sequence:
Step-by-step explanation:
The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.
Examples:
- 4, 7, 10, 13, 16, ........................ (increased by 3)
- 25, 20, 15, 10, ......................... (Decreased by 5)
The explicit formula for the nth term of the arithmetic sequence is:
- is the first term
- d is the constant difference between each two consecutive terms
- n is the position of the number in the sequence
The geometric sequence: is the sequence whos consecutive terms have a constant ratio
Examples:
- 1, 2, 4, 8, 16, ........................ (Multiplying by 2)
- 625, 125, 25, 5, ......................... (Dividing by 5)
The explicit formula for the nth term of the geometric sequence is:
- is the first term
- r is the constant ratio between each two consecutive terms
- n is the position of the number in the sequence
* Arithmetic sequence →→→→→→ Geometric sequence
Has a constant difference →→→→→→ Has a constant ratio
→→→→→→
→→→→→→