ABC is similar to DEF. Find x.

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

<h3>Answer: 25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

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How to solve this. I am very confused.

sergiy2304 [10]

To solve, we will need to plug in -5 for x in both instances.

|-5 + 2| / -5 + 2

|-3| / -3

Now, these absolute value bars may be a bit puzzling. What we have to do is take the absolute value of the number inside of the brackets. Meaning, that if the number is negative, we make it positive, and if the number is positive, then it stays positive.

3 / -3

-1

Hope this helps!! :)

6 0

3 years ago

Read 2 more answers

Greatest common factor of 48,120

AlekseyPX

$Hello. 

Let's figure this out.

I'll list all the factors to help us answer your question. 

48: 1
2
3
4
6
8
12
16
24
48

120: 1
2
3
4
5
6
8
10
12
15
20
24
30
40
60
120 

We can see that the GREATEST common factor (GCF) between

49 and 120 is: 24

You're welcome.$