Answer:
BC = 20 units
Step-by-step explanation:
if ∡C = ∡B then 2x + 16 = 7x + 6
16 = 5x + 6
10 = 5x
x = 2
BC = 2(2) + 16, which is 20
Say . . . (13 lbs)/(5/8 lbs/bag) . . . make sure units cancel . . . 13/5*8 = 20.8 bags . . . but get 21 bags just because you can't buy a fraction of a bag.
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.
Answer:
the cost of the plan in the case when 388MB is used is $101.64
Step-by-step explanation:
The computation of the cost of the plan in the case when 388MB is used
Given that
One time fee is $35
And, it involves 150 MB of data usage
Also for the extra megabyte it charges $0.28
So for 388MB, the cost of the plan is
= $35 + 0.28 × (388 MB - 150 MB)
= $35 + $66.64
= $101.64
Hence, the cost of the plan in the case when 388MB is used is $101.64
Out of every 11 students 7 were girls. Set up the following proportion.
11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49
49 of the student council members were girls.
