Answer:
The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.
Step-by-step explanation:
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Answer: Total cost of their meal is $78
Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78
65*0.2 = 13
65+13=78
Answer: i put the equation into a calculator so i’m not sure if this is the right answer!!
explanation:
I believe she would need to stain 548 inches of the surface.
Excluding the top and bottom, you are left with two panels that are 10 by 7.4, and two panels that are10 by 20, so
10•7.4= 74•2 =148
10•20= 200•2 =400
148 + 400= 548
Please correct me if I am wrong, have a good day!