DE is 31 units, EF is 31 units and DF is 62 units
Step-by-step explanation:
A mid-point of a line segment
- Divides it into two congruent parts
- The length of each part is half the length of the line segment
∵ E is the mid-point of segment DF
- That means E divides DF into two parts DE and EF and the
lengths of them are equal
∴ DE ≅ EF
∵ DE = 6x + 1
∵ EF = 7x - 4
- Equate them
∴ 6x + 1 = 7x - 4
- Add 4 to both sides
∴ 6x + 5 = 7x
- Subtract 6x from both sides
∴ 5 = x
Substitute the value of x in DE and EF to find their length
∵ DE = 6(5) + 1
∵ DE = 30 + 1
∴ DE = 31 units
∵ EF = 7(5) - 4
∴ EF = 35 - 4
∴ EF = 31 units
∵ DF = DE + EF
∴ DF = 31 + 31
∴ DF = 62 units
DE is 31 units, EF is 31 units and DF is 62 units
Learn more:
You can learn more about the mid-point in brainly.com/question/10480770
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The distance formula is given by
Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)
Distance AB =
Distance AB =
Distance AB =
Distance AB = 17
The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2
Distance A'B' = 2 × 17 = 34 units
The answer is -13 degrees Fahrenheit
The next term of the series, 3, 10, 29, 66, 127 is 218.
Answer:
{-4,3,5,8}
Step-by-step explanation:
The function is in (a,b) form. Always remember that range comes after domain. So here a represents the domain and b represents the range.
In the given function:
{(-1,5),(2,8),(5,3),(13,-4)}
The range will be {5,8,3,-4}
We will write it in ascending order
{-4,3,5,8} ....
