ar(ΔABO) = ar(ΔCDO)
Explanation:
The image attached below.
Given ABCD is a trapezoid with legs AB and CD.
AB and CD are non-parallel sides between the parallels AD and BC.
In ΔABD and ΔACD,
We know that, triangles lie between the same base and same parallels are equal in area.
⇒ AD is the common base for ΔABD and ΔACD and they are lie between the same parallels AD and BC.
Hence, ar(ΔABD) = ar(ΔACD) – – – – (1)
Now consider ΔABO and ΔCDO,
Subtract ar(ΔAOD) on both sides of (1), we get
ar(ΔABD) – ar(ΔAOD) = ar(ΔACD) – ar(ΔAOD)
⇒ar(ΔABO) = ar(ΔCDO)
Hence, ar(ΔABO) = ar(ΔCDO).
Answer:
121π
Step-by-step explanation:
The formula for a circle is πr^2. But if given a diameter instead of radius, you simply divide by 2 because radius is half of a diameter.
Radius of this circle is 11 because you divide 22 by 2.
Then you follow the formula. 11^2=121.
The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.
<h3>What is the ratio?</h3>
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Nonwinners in group A = (1 - 3/5) x 390 = 156
Winners in group B = (390 - 156) = 234
nonwinners in group B = 553 - 234 = 319
The ratio = 156 : 319
To learn more about ratios, please check: brainly.com/question/25927869
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