All categories

3 years ago

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.

You might be interested in

The volume of the prism shown is 72. in3

Vesna [10]

Answer:

24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0

3 years ago

benny sold half of his comic books and then bought 6 more. he now has 14. how many did he begin with?

Nostrana [21]

Answer:

Benny started off with 16 comic books.

Step-by-step explanation:

x/2 + 6 = 14

solve

x/2 + 6 = 14

-6 -6

x/2 = 8

multiply by 2

x = 16

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

3 0

2 years ago

Read 2 more answers

Please answer the attached file

sweet [91]

Answer:

Step-by-step explanation:

Zeroes mean the amount of times the graph has touched the x-axis

5 0

2 years ago

The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwater use to wash 10 l

kaheart [24]

Answer:

80 gallons

Step-by-step explanation:

32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.

4 0

3 years ago

Read 2 more answers

Identify the type of solution represent by f(x) =3(1.5)x

V125BC [204]

Answer: Exponential growth.

Step-by-step explanation:

1. You have the following function:

$f(x)=3(1.5)^{x}$

2. By definition, an exponential function has the following form:

$f(x)=ab^{x}$

Where a is the coefficient, b is the base and x is the exponent.

3. The growth of this function is non-linear, because the rate of growth is not constant.

4. For example if in the function given in the problem x=4, this means that y=3(1.5*1.5*1.5*1.5)

5. Therefore, the answer is exponential growth.

6 0

3 years ago