AB * BE = CB * BD were given
so CB/BE = AB/BD ------------> property of proportion
<ABC = < DBE ------------> vertical angles
triangle ABC ~ triangle DBE ------------> SAS <span>Similarity propery</span>
Answer:
<h2>

</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
Dimensions of the bed

<em><u>Therefore</u></em><em><u>, </u></em>
Volume of the bed



Answer:
Relative frequency of selecting a 2 = 8/50 = 0.16
Relative frequency of selecting a 3 = 14/50 = 0.28
Step-by-step explanation:
When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.
Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.
Out of these 50 times, the outcome "2" appears 8 times.
Then the relative frequency of selecting the number 2 is:
f(2) = 8/50 = 0.16
And of these 50 experiments, the outcome "3" appears 14 times.
Then the relative frequency of selecting the number 3 is:
f(3) = 14/50 = 0.28
Answer:10th place
Step-by-step explanation:
Answer:
<em>2/3 of the jar was filled with flour</em>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>
<em />
Given
<em>Amount a jar can hold a = 3/4 of a pound of flour</em>
<em />
<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>
<em />
<em>Fraction of jar filled will be expressed as b/a as shown;</em>
<em>b/a = (1/2)/(3/4)</em>
<em>b/a = 1/2 ÷ 3/4</em>
<em>b/a = 1/2 * 4/3</em>
<em>b/a = 4/6</em>
<em>Simplify to the lowest term</em>
<em>a/b = 2*2/2*3</em>
<em>a/b = 2/3</em>
<em />
<em>Hence 2/3 of the jar was filled with flour</em>