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Korolek [52]
3 years ago
8

What other angles can be marked as congruent?

Mathematics
2 answers:
umka2103 [35]3 years ago
4 0

Answer:

Option B

Step-by-step explanation:

<WXV = <YXZ (Vertically opposite angles are congruent.)

inna [77]3 years ago
3 0
Angle x (vertical angles)
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Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (
Fudgin [204]
A.

\displaystyle\frac1a-\frac1h=\frac1h-\frac1b
\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}
\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}
\implies\displaystyle\frac{h-a}{b-h}=\frac ab

b.

\displaystyle h=\frac{2ab}{a+b}
\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}
\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}
\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}
\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}
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The other direction can be proved by following the manipulations in the reverse order.
7 0
2 years ago
The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6 matches
8_murik_8 [283]

Answer:

The mean for the number of matches that they win in the tournament is 20.

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For each match, there are only two possible outcomes. Either they win, or they do not. The probability of winning a match is independent from other matches. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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E(X) = np

The Stomping Elephants volleyball team plays 30 matches in a week-long tournament.

This means that n = 30

On average, they win 4 out of every 6 matches.

This means that p = \frac{4}{6} = \frac{2}{3}

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E(X) = np = 30\frac{2}{3} = 20

The mean for the number of matches that they win in the tournament is 20.

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Consider the figure below.<br><br><br><br> Find the value of x.
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x = 5

Step-by-step explanation:

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5x - 5 = 2x + 10

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