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Aleksandr-060686 [28]
2 years ago
14

What is the length of MN ?

Mathematics
1 answer:
solniwko [45]2 years ago
4 0

Answer:

<u>C. 4</u>

Step-by-step explanation:

Using the Law of Sines,

  • sinA / a = sinB / b

<u>Here,</u>

  • A = 63°
  • a = x + 8
  • B = 63°
  • b = 3x

<u>Solving</u> :

  • sin63°/x + 8 = sin63°/3x
  • x + 8 = 3x
  • 2x = 8
  • x = 4
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Which shows the expression factored correctly? 16x^2-25
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Lets take a look at the options first.
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.

we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25

however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)

if you don’t want to find the answer using expanding, there is also another method of expanding.

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

in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
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