Step-by-step explanation:
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i dont know this particular question
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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Answer:
9h + 40
Step-by-step explanation:
You use 9h, because you don't know how many hours Jill worked, she already had 40$ so 40 is the constant.
Answer:
D' = (5, 2)
Step-by-step explanation:
Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.
If the sample is truly random, every member of the population should have an equal chance to be selected. Because of this, Paula and Peter's probability of being chosen will be equal: 1/9800