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Salsk061 [2.6K]
3 years ago
5

Which statement is true about setting up a proportion to solve for the missing measure?

Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

Answer:B Corresponding parts must be in the same position.

Step-by-step explanation:Consider the enlargement of the triangle.

A smaller triangle with side lengths 9 millimeters and 6 millimeters. A larger triangle with side lengths x millimeters and 16 millimeters.

Which statement is true about setting up a proportion to solve for the missing measure?

Corresponding parts must be in different positions.

Corresponding parts must be in the same position.

The two ratios are not equal.

The enlargement is not proportional to the original figure.

JulsSmile [24]3 years ago
5 0

Answer:

B. Corresponding parts must be in the same position.

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Answer:

Step-by-step explanation:

We know that for two similar matrices A and B exists an invertible matrix P for which

[tex]B = P^{-1} AP[/tex]

∴ B^{T} = (P^{-1})^{T} A^{T} P^{T} \\

Also P^{-1}P = I\\

and (P^{-1})^{T} = (P^{T})^{-1}

∴(P^{-1})^{T}P^{T} = I

so, B^{T} = (P^{-1})^{T} A^{T} P^{T} = (P^{T})^{-1}A^{T} P^{T}\\B^{T} = A^{T} I\\B^{T} = A^{T}

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How do I do this? We’re using laws of sine to figure out the answer
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Nancy plans to deposit $1,000 quarterly for 35 years at 8.25% Interest, compounded monthly. How much will she
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Answer:

$17,771.92

Step-by-step explanation:

A = P (1 + r/n)^nt

A = Future value (the answer you're trying to find)

P = Initial deposit ($1000)

R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))

N = # of times interest is compounded per unit t (12)

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2 years ago
The height of a triangle is half the length of its base. The area of the triangle is 12.25cm. Find the height
pentagon [3]
Answer:  The height of the triangle is:  " 3.5 cm " .
_______________________________________________________
<u>
Note</u>:
 The formula/equation for the area, "A" , of a triangle is:

           A = (1/2) * b * h  ;  or write as:  A = (b * h) / 2 ; 
_________________________________________________
 in which:   "A = area of the triangle" ; 
                  "b = base length" ; 
                  "h = "[perpendicular] height" ; 
_________________________________________________
     Given:  h = (b/2) ;
                  A = 12.25 cm²
{Note:  Let us assume that the given area was "12.25 cm² " .}. 
_________________________________________________
 We are to find the height, "h" ; 

The formula for the Area, "A", is:   A = (b * h) / 2 ; 

Let us rearrange the formula ;
 to isolate the "h" (height) on one side of the equation; 

→ Multiply EACH side of the equation by "2" ; to eliminate the "fraction" ; 

2*A = [ (b * h) / 2 ] * 2 ; 

   to get:   " 2A = b * h " ; 

↔    " b * h = 2A " ; 

Divide EACH SIDE of the equation by "b" ; to isolate "h" on one side of the equation: 

        →  (b * h) / b  = (2A) / b ; 

to get: 
  
        →   h  =  2A / b ; 

Since  "h = b/2" ; subtitute "b/2" for "h" ; 
 
Plug in:  "12.25 cm² " for "A" ;

       →  b/2  =  2A/b ;   →  Note:  " 2A/b = [2* (12.25 cm²) ] / b " ;

Note:  " 2* (12.25 cm²) = 24.5 cm² ; 

Rewrite as: 

       →  b/2  =  (24.5 cm²) / b ;
_____________________________________
Cross-multiply:   b*b = (24.5 cm²) *2 ; 

to get:   b² = 49 cm² ; 

Take the "positive square root" of each side of the equation" ; 
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             →  +√(b²)  =  +√(49 cm²) ; 

             →  b = 7 cm ; 

Now, we want to solve for "h" (the height) :
_________________________________________________________
             →  h = b / 2 = 7 cm / 2 = 3.5 cm ; 
_________________________________________________________
Answer:  The height of the triangle is:  " 3.5 cm <span>" .
</span>_________________________________________________________
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stira [4]

Answer:

trevon ran 49 miles

Step-by-step explanation:

9+40=49

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3 years ago
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