Since BE bisects angle ABC, you know that angles ABE and EBC are congruent and have the same measure. This means
2x + 20 = 4x - 6
Solve for x:
(2x + 20) - 2x + 6 = (4x - 6) - 2x + 6
26 = 2x
26/2 = 2x/2
13 = x
Then angle ABE has measure 2*13 + 20 = 46º.
Answer:
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Explanation:
The table that shows the results and the question (taken from similar question) are:
<em>Number Showing Frequency</em>
<em>on Top Face</em>
<em> 1 0</em>
<em> 2 3</em>
<em> 3 3</em>
<em> 4 6</em>
<em> 5 3</em>
<em> 6 5</em>
<em />
<em>Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face? </em>
<h2 /><h2>Solution</h2><h2 />
The frequencies of each event recorded for a particular experience are named<em> experimental probabilities</em> and, in general, differ from the theoretical probabilities.
Experimental probabilities, for instance, when compared with the theoretical probabilities, may show a bias, like a loaded (unfair) die.
<em>The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face </em>is equal to the number of times the die showed a 5 or a 6 on the top face (the frequencies) divided by the number of times the experiment was performed:
- Frequency of 5 on top face: 3
- Frequency of 6 on top face: 5
====
8
- Number of times the experiment was performed: 0 + 3 + 3 + 6 + 3 + 5 = 20
Probability = 8 / 20 = 2 / 5 = 0.4 ← answer
<h2 />
Answer:
23%
Step-by-step explanation:
The highest degree of any term is 8, so that is the degree of the polynomial.
Answer:
Step-by-step explanation:
Adapt the compound amount formula to this situation:
A = P(1 + r)^t becomes A = d(1 + p/100)^1, or just A = d(1 + p/100)
