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snow_tiger [21]
3 years ago
14

What is the scale factor? ( the answer must be a fraction).

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0
Since these are similar triangles you can use any two corresponding sides to figure out the scale factor.

Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
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The product of two whole numbers is<br> 416 and their sum is<br> 42. What are the two numbers?
olga55 [171]

Answer:

The two numbers are <em>16</em> and <em>26</em>.

Step-by-step explanation:

We can solve this question using 2 simultaneous equations based on the given information from the question.

Let number 1 = x

Let number 2 = y

xy = 416 -> ( 1 )

x + y = 42 -> ( 2 )

We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.

Make y the subject in ( 2 ):

x + y = 42 -> ( 2 )

y = 42 - x -> ( 3 )

Substitute ( 3 ) into ( 1 ):

xy = 416 -> ( 1 )

x ( 42 - x ) = 416

42x - x^2 = 416

-x^2 + 42x - 416 = 0

- [ x^2 - 42x + 416 ] = 0

- [ x^2 - 16x - 26x + 416 ] = 0

- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0

- ( x - 16 ) ( x - 26 ) = 0

x = 16 -> ( 4 ) , x = 26 -> ( 5 )

Substitute ( 4 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 16 )

y = 26

Substitute ( 5 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 26 )

y = 16

Therefore:

x = 16 , y = 26

x = 26 , y = 16

The two numbers are 16 and 26.

7 0
3 years ago
Multiplying Improper Fractions
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<span>Multiply the numerators together.Multiply the denominators together.Simplify the fraction.<span>Convert the improper fraction (if it is improper) to a mixed fraction answer. To do this divide the denominator into the numerator finding the quotient and remainder.</span></span>
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Find missing angle 135 and 59
wolverine [178]

your question is incorrect dear!

please tell the figure

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3(5y - 42) for y = 4
liberstina [14]

Answer:

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Step-by-step explanation:

y = 4

3(5y - 42)

3(5(4) - 42)

3(20 - 42)

3(-22) = -66

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Is 6 + 0 = 6 The addition inverse postulate or the The additive identity postulate
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Its the additive identity prosulate
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