The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

Answer: i feel like its C but im not sure

Step-by-step explanation:

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]

[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

The answer is below

Step-by-step explanation:

Sumaya’s Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size (the small size is (8,4) ). It will cost twice as much as the small size.

Which coordinate pair represents the volume and cost of the extra-large size?

Solution:

The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.

The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)

Since the volume of the extra-large size will have three times the volume of the small size, hence:

Volume of extra-large size = 8 * 3 = 24

The cost of extra large is twice as much as the small size, hence:

Cost of extra large = 4 * 2 = 8

Therefore the coordinate pair that represents the volume and cost of the extra-large size is:

(24, 8)

Answer:

Step-by-step explanation:

If the numerator is 7 less than its denominator, than the original number in terms of x is

[tex]\frac{x-7}{x}[/tex]. If we triple the numerator, the expression to do this is 3(x - 7); if we increase the denominator, the expression to do this is x + 13. Putting that together along with the fact that after we do this manipulation the new number is 3/2:

[tex]\frac{3(x-7)}{x+13}=\frac{3}{2}[/tex] and distribute:

[tex]\frac{3x-21}{x+13}=\frac{3}{2}[/tex] and cross multiply to get:

2(3x - 21) = 3(x + 13) and

6x - 42 = 3x + 39 and

3x = 81 so

x = 27. Subbing 27 for x into the original number:

[tex]\frac{27-7}{27}=\frac{20}{27}[/tex]

Answer:

$4928.87

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 250

r = 15% = 0.15

n = 12

t = 20

Step 2: Solve

Answer:

c

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

DEF should be three times as big as ABC

AB = 5 ; DE = 5 x 3 = 15

AC = 3 ; DF = 3x 3 = 9

BC = 4 ; EF = 4 X 3 = 12

the options that correspond to this is option c

Answer:

812 in²

Step-by-step explanation:

The area (A) is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 29 and h = 28 , then

A = 28 × 29 = 812 in²

Answer:

I think its hfbfjfbsobsxhhx

Answer:

1080 & 135

Step-by-step explanation:

I did it

Answer:

Step-by-step explanation:

Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2

of formal dresses (1- 1/2 = 1/2).

Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]

Clara bought 4 more dresses

[tex]\frac{1}{2}d + 4 = 12[/tex]

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

Please Mark me brainliest

Answer:

the answer is a 4 x d = 24 I think

it should be false but its been a while since i did that but the expressions should be multiplied together  

Answer:

16) 8/X

19) 16x^8

22)81x^8

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5

Answer:

60009=hh

Step-by-step explanation:

Answer:

7(nearest whole number)

7.2(1 decimal place)

9514 1404 393

Answer:

  B.  91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

Answer: $32.5

Step-by-step explanation:

Given

Greg needs 50 corns on the cobs

A package of 5 costs $3.25

For 50 corns, he needed 10 package

So, cost of 10 packages is

[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

=30/3

=10

Answer:

Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company

Answer:

Step-by-step explanation:

Formulas used:

  [tex]sin( A +B) = 2sin Acos B\\\\sin A= sin (\frac{A}{2} + \frac{A}{2}) = 2 \ sin \frac{A}{2}cos \frac{A}{2}\\\\cos(A + B) = cosA cosB - sinA sinB\\\\cos A = cos(\frac{A}{2} + \frac{A}{2}) = cos \frac{A}{2} cos \frac{A}{2} - sin \frac{A}{2} sin \frac{A}{2}[/tex]

                               [tex]= cos^2 \frac{A}{2} - sin^2 \frac{A}{2}[/tex]

  [tex]1 - sin^2 \frac{A}{2} = cos^2 \frac{A}{2}[/tex]

   [tex]\frac{sin\frac{A}{2}}{cos\frac{A}{2}} = tan\frac{A}{2}[/tex]

Given :

LHS =

             [tex]\frac{sin \frac{A}{2} + sin A }{1 + cos \frac{A}{2} + cosA}\\\\=\frac{sin \frac{A}{2} + 2sin \frac{A}{2} cos \frac{A}{2} }{1 + cos \frac{A}{2} +cos ^2\frac{A}{2} -sin^2 \frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} + 1 - sin^2\frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} +cos ^2 \frac{A}{2} }\\\\[/tex]

            [tex]=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + 2cos ^2 \frac{A}{2} }\\\\=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} ( 1 + 2cos \frac{A}{2}) }\\\\=\frac{sin\frac{A}{2}}{cos\frac{A}{2}}\\\\= tan \frac{A}{2}\\\\= RHS[/tex]

Answer:

1/3

Step-by-step explanation:

3+3+2+1=9 marbles

3 are red so 3/9

3/9=1/3

Answer:

The family should budget $73.50 for 21 gallons of gasoline.

Answer:

0

Step-by-step explanation:

Anything times 0 is 0.

Without the 0 it's 3.72966900E+33.

Answer:

a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.

plz mark me as brainliest

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

8x^2y^3 24

degree of monomial is power of x + power of x

2 + 3= 5

Answer:

5

Step-by-step explanation:

What is that 24 doing there?

If the monomial is

[tex] 8x^2y^3 [/tex]

then the degree is 5.

The degree of a monomial is the sum of the exponents of all the variables of the monomial.