How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
Answer: 0.02x
Step-by-step explanation:
The value of the cars the salesman makes is x in this instance.
The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.
= 2% * x
= 0.02 * x
= 0.02x
If for instance he sells $40,000 worth of cars, his commission would be:
= 0.02 * x
= 0.02 * 40,000
= $800
Answer:
Total marks = 468
Step-by-step explanation:
to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:
99 + 69 + 91 + 92 + 33 + 84 = 468
Answer:
x = 4
Step-by-step explanation:
3x + 12
x = 12/3
x = 4
Therefore the final answer is 4
