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Mariulka [41]
2 years ago
13

I need help with this geometry question asap!

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

  • The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
  • The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
  • The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
  • The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

#SPJ1

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pychu [463]

Answer:

She messed up the equation, A= B x h, she changed it midway, and also, you need to add the one half to make the equation valid

Step-by-step explanation:

A=1/2 x b xh

17.5 = 1/2 x 5 x h

35=5h     (multiply both sides by 2 to get rid of one half)

35/5 = 5h/5

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What is the reciprocal of 3 and 1/5
Vaselesa [24]
1/3 and 5 because 3/1 is three and 1/3 is the opposite while 1/5 is 5/1 which is 5.
4 0
3 years ago
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20.
Mandarinka [93]

Answer:

a) e-0.03x(0.3-0.009x)

b) 33 hrs 20 min

c) 17.182

Step-by-step explanation:

Taking derivative of the above equation would give us the rate for change in donations :

hence

f'(x) = d/dx (0.3xe-0.03x)

using product rule of derivation where (uv)' = u'v +v'u

hence

f'(x) = (e-0.03x)d/dx(0.3x) + 0.3x*d/dx(e-0.03x)

       = 0.3e-0.03x + 0.3x(-0.03)(e-0.03x)

  f'(x)   =0.3e-0.03x -0.009xe-0.03x

hence

a) rate of change in donations = e-0.03x(0.3-0.009x) taking exponent common

b) f'(x) = 0 according to statement

hence 0 = e-0.03x(0.3-0.009x)

     0 = 0.3 - 0.009 x

which gives x = 33.33 hrs i.e after 33 hrs and 20 minutes rate of change of donations is 0.

c) donation level at the time is given by

f(x) = 0.3xe-0.03x

f(33.33) = 0.3 (33.33)e-0.03(33.33)

              = 17.182

That is 17.182 thousand donations were made at that time.

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3 years ago
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