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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<span>4d=1/3 [divide both by 4]
d = 1/12
</span>
Answer:
use a calcuulator ok
Step-by-step explanation:
answer 40
Step-by-step explanation:
because you added all together to make one
Answer:
the distance between the penguins and the fish tanks is 81 ft
Step-by-step explanation:
Let A is the point of whales
Let B is the point of Sharks
Let D is the point of Dophines
Let P is the point of penguins
Let F is the point of Fish tank
From a look at the photo, we can find some special properties that:
AB//PF
In triangle ABD and DPF we have
- ∠BAD=∠PFD(Alternate angles)
- ∠ADB=∠PDF(Vertically opposite angles)
By AA rule, ABD and DPF are similar to each other
Therefore, using the similarity property, we have:
=
So the distance between the penguins and the fish tanks is 81 ft