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3 years ago

Is AABC-ADEP? If so, identify the similarity postulate or theorem that

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Answer:

D. cannot be determined

Step-by-step explanation:

that is kind of a trick question.

right based on the given information none of the 3 methods can be applied.

we don't have all 3 sides for SSS

we don't have 2 angles for AA

and we don't have 2 sides with their included angle for SAS.

but it can still be determined (they ARE similar), as this is a special case of SSA, where it is clear that the corresponding congruent angles are located at the same position relatively to the corresponding similar lines.

you can discuss this with your teacher, if you are interested.

AND - we can easily determine any of the other missing pieces (side and angles). these missing pieces then will correspond exactly to their counterparts in the other triangle (the 2 angles in ABC are equal to the 2 angles in DEF, the missing sides file the same scaling factor as the other known sides). and then any of the 3 methods can be applied.

so, this is actually tricky ...

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A chemist has one solution that is 60% alcohol and another that is 35% alcohol. How much of each must she use to make 15 liters

vivado [14]

Let x represent the total amount litters of solutions for 60% alcohol
15-x represent the total amount of litters of solutions for 35% alcohol, so:
0.6(x)+0.35(15-x)=0.5(15)
0.6x+5.25-0.35x=7.5
0.25x+5.25=7.5
Subtract 5.25 to each side
0.25x+5.25-5.25=7.5-5.25
0.25x=2.25
Divided 0.25 to each side
0.25x/0.25=2.25/0.25
x=9 liters
15-x
=15-9
=6 litters. As a result, she must use 9 litters of 60% alcohol and 6 litters of 35% alcohol to make 50% alcohol. Hope it help!

3 0

4 years ago

(2.3)(-0.5) and show your work THNX!

mamaluj [8]

(2.3)(-5.0)
-(2.3x0.5)
=-1.15 or as a fraction -23/20

Hope this helps

8 0

3 years ago

Stephanie puts 30 cubes in a box. the cubes are 1/ inch on each side. the box holds two layers with 15 cubes in each layer. what

-BARSIC- [3]

$v = lwh \\ v = 15 \times 15 \times 2 \\ v = 450 \: cubic \: in$
The shape is a rectangle, btw

4 0

3 years ago

A) write a relation for perimeter of a square with side length n centimetres

Artist 52 [7]

The perimeter of a square is equal to the side length times 4.

The equation is P = 4S, with P being the perimeter, and S being a side.

Also, to get the length of a side from the perimeter, just divide the perimeter by 4.

To have it in centimeters, just add cm to the end of your answer!

5 0

3 years ago

Four big water bottles can hold 8 gallons of water. How much water can ten big water bottles hold.

g100num [7]

Step-by-step explanation:

Part 1

To find out the amount of water ten big water bottles can hold, we have to find out how much water is in each water bottle. To do this, we divide the amount we are looking for by the number of items.

8 ÷ 4 = 2

Part 1 answer: Each water bottle can hold 2 gallons of water.

Part 2

Now that we know the amount of water in each water bottle, we can find out how much water 10 water bottles can hold. To do so, we multiply our previous answer, 2, by the number of items (10).

2 • 10 = 20

Part 2 answer: 10 water bottles can hold 20 gallons of water.

Our final answer: 20 gallons

I hope this helps you!

8 0

3 years ago