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antiseptic1488 [7]
3 years ago
10

Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm cent

imeters?
Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that,

∆DEF is similar to ∆ABC

∆DEF ≈ ∆ABC

Then, using similar triangle properties

DE / AB = DF /AC = EF / BC

Given that,

EF = 5cm, DE = 6cm and DF = 8cm

6 / AB = 8 / AC = 5 / BC

We need one more data, to solve this problem, so the question is not complete, but let assume AC is 16cm

Then, we can find AB and BC

So, taking each part of the equation

6 / AB = 8 / AC

Since we assumed AC = 16cm

6 / AB = 8 / 16 = ½

6×2 = AB

AB = 12cm

Taking the other parts of the equation

8 / AC = 6 / BC

8 / 16 = 5 / BC

½ = 5 / BC

Bc = 2 × 5

BC = 10cm.

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8 0
3 years ago
Would really appreciate if u could help me with all letters but even a few are great! Thanks (the graph is hard to explain so i
defon
Part A

The equation is b = 36*a or simply b = 36a

We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.

-----------------------------------

Part B

The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres

For example, if the size is 2 acres then 
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn

-----------------------------------

Part C

Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)

You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25

-------

Then along the bottom row you should have the following for the blanks: 0, 360, 1800

These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360

-----------------------------------

Part D

Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.

-----------------------------------

Part E

The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn

Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)


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3 years ago
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