The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
Hope this helped!
Angle ADB is a right angle, which is given.
The measure of ADB is 90 degrees by definition of right angle.
The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).
The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).
BDC = ADB because 90 = 90
Overall, the two triangles are congruent by SAS.
Answer:
18 ways
Step-by-step explanation:
Number of Meat choices = 3
Number of Vegetable choices = 3
Number of Desserts = 2
Number of ways dinner can be chosen :
Number of meat choices * Number of vegetable choices * number of desserts
3 * 3 * 2
= 18
Hence, dinner can be chosen in 18 different choices.
