Find DC round to the nearest tenth
2 answers:
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Answer:
B)
D)
Step-by-step explanation:
Given expression:
To find the equivalent expression.
We will evaluate each expression in the given choices to check the equivalence.
A)
Using distribution.
⇒
⇒
B)
Using distribution.
⇒
⇒
C)
Using distribution.
⇒
⇒
D)
Using distribution.
⇒
⇒
E)
Using distribution.
⇒
⇒
From the choices evaluated, we find that the expressions in choices B and D are equivalent
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).
