If two fair dice are rolled what is the probability that the sum of the dice is 10, given the sum is greater than 4
1 answer:
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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:
The perimeter is cm.
Step-by-step explanation:
Perimeter is found by adding all sides of the triangle together. So, this is what we need to find:
- Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.
Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.
Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.
remains the same;
; and
. Now they are like radicals and can be added!