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evablogger [386]
3 years ago
15

HELP DUE IN 10 MINS! Find the scale factor. Solve for x. Scale Factor=?? x=??

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

  • Scale factor = 1/2 and x = 18

Step-by-step explanation:

<u>Given:</u>

  • ΔABC ~ ΔDEF
  • AB = 36. BC = 30
  • DE = x, EF = 15
  • m∠B = m∠E = 72°

<u>Corresponding sides are:</u>

  • AB and DE
  • BC and EF

<u>Corresponding sides have same ratio:</u>

  • AB/DE = BC/EF
  • 36/x = 30/15
  • x = 36/2
  • x = 18

<u>The scale factor is:</u>

  • DE/AB = 36/18 = 1/2
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*Silly and/or spam answers will not be tolerated*
stepladder [879]

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

-------------------

(x+6) (sqrt( 10-x) +4)    

-6-x

-------------------

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

-------------------

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

-------------------

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

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Step-by-step explanation:

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