What is the percent of decrease from 300,000 to 30,000? please answer quick.

Which postulate or theorem can be used to

sveticcg [70]

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

$\frac{PS}{PQ}=\frac{PT}{PR}$

substitute

$\frac{45}{20}=\frac{36}{16}$

$2.25=2.25$ ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

$m\angle PQR=m\angle PST$ ----> by corresponding angles

$m\angle PRQ=m\angle PTS$ --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

4 0

3 years ago

How do you solve 38.2 X 10^-2 ?

Jet001 [13]

Since its to the tenth power and the exponent is negative all you have to do is move the decimal point two positions back and your new answer is 0.382

3 0

3 years ago

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of

galben [10]

Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

$z=\frac{x}{y}$

we have

$x=12\ cm$

$y=9\ cm$

substitute

$z=\frac{12}{9}=\frac{4}{3}$ -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=390\ cm^{2}$

substitute and solve for x

$(\frac{4}{3})^{2}=\frac{x}{390}$

$(\frac{16}{9})=\frac{x}{390}$

$x=390*16/9=693.33\ cm^{2}$

4 0

3 years ago

What are the solutions to the system of equations?

svet-max [94.6K]

Answer:the third option is correct

Step-by-step explanation:

The system of equations are

y = 2x^2 - 5x - 7 - - - - - - - - - - -1

y = 2x + 2 - - - - - - - - - - - - - 2

We would equate equation 1 and equation 2. It becomes

2x^2 - 5x - 7 = 2x + 2

2x^2 - 5x - 2x - 7 - 2 = 0

2x^2 - 7x - 9 = 0

We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore

2x^2 + 2x - 9x - 9 = 0

2x(x + 1) - 9(x + 1) = 0

2x - 9 = 0 or x + 1 = 0

2x = 9 or x = - 1

x = 9/2 = 4.5

Substituting x = 4.5 or x = -1 into equation 2, it becomes

y = 2 × 4.5 + 2 or y = 2 × - 1 + 2

y = 11 or y = 0

Therefore, the solutions are

(4.5, 11) (- 1, 0)

6 0

3 years ago

Another way to express 52+24

Furkat [3]

We know that: 52 + 24 = 76.
You can also express it this way:
52 + 24 = 50 + 2 + 20 + 4 = ( 50 + 20 ) + ( 2 + 4 ) = 70 + 6 = 76
Or ( since 4 * 13 = 52 and 4 * 6 = 24 ):
52 + 24 = 4 * 13 + 4 * 6 = 4 * ( 13 + 6 ) = 4 * 19 = 76.

4 0

3 years ago