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Klio2033 [76]
3 years ago
12

Two parallel lines are crossed by a transversal. Horizontal and parallel lines y and z are cut by transversal x. At the intersec

tion of lines y and x, the top right angle is (2 k + 11) degrees. At the intersection of lines z and x, the bottom left angle is 131 degrees. What is the value of k? k = 9 k = 20 k = 60 k = 71
Mathematics
2 answers:
BigorU [14]3 years ago
7 0

Answer:

60

Step-by-step explanation:

ruslelena [56]3 years ago
3 0

Those two angles have the same measure, so you have

2k+11=131 \iff 2k=120 \iff k=60

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?
iogann1982 [59]

ANSWER

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

EXPLANATION

The given function is;

f(x) = 5 {x}^{2}  - 7x + 11

The constant term is 11.

The coefficient of the leading term is 5.

The factors of 11 are ±1,±11

The factors of 5 are ±1,±5

According to the Rational roots Theorem,

the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

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The weights of the chocolate in Hershey Kisses are normally distributed with a mean of 4.5338 g and a standard deviation of 0.10
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We know that the variable (X) usually obeys and follows a standard normal distribution provided that the summation of (X) is zero and the variance of the random variable V(X) = 1.

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