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exis [7]
2 years ago
13

25° У x 120° y = [ ? ] Enter

Mathematics
2 answers:
Mkey [24]2 years ago
6 0

9514 1404 393

Answer:

  y = 95°

  x = 60°

Step-by-step explanation:

The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:

  120° = 25° +y

  95° = y . . . . . . . . . . subtract 25° from both sides

_____

If you like, you can get there by calculating x (or not):

  x = 180° -120°

  y = 180° -25° -x = 180° -25° -(180° -120°)

  y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x

Alex2 years ago
5 0
95 degrees

you do 180-120 and get 60 and then add 60 and 25 together and that is 85. then u do 180-85 and get 95
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P(X<=x) = 1 + 5.486 = 6.486

The z-score of the information given is,

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From the information given,

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hence,

z = (3.71 - 86)/15 = -5.486

thus,

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hence , P(X<=x) = 1 + 5.486 = 6.486

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Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
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|x| = x for x ≥ 0

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

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


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