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11Alexandr11 [23.1K]
3 years ago
7

Is there a method that could prove that these two triangles are similar?

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

  A  Yes, a sequence of dilations and rigid motions carries one triangle onto the other

Step-by-step explanation:

Since two angles are marked with the same measures in each triangle, the triangles are similar by the AA postulate with no further action.

By some accounts it seems to be necessary to lay one figure on top of the other to demonstrate similarity. In order to do that, the smaller triangle would need to be dilated and translated (a rigid motion) to make it occupy the same space as the larger triangle.

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3(3x-2)

Step-by-step explanation:

this is factoring 3 out of 9x-6

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Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

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Step-by-step explanation:

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Conservation

Step-by-step explanation:

Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.

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