Answer: a = 40, b = 50, c = 115
Solution:
a = 40 (the vertical angles are equal)
b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)
c = 180 - 65 = 115 (the linear theorem)
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:



Calculate the total number of beads used for all three designs



The number of available beads is:

Divide 750 by 83, to get the total number of designs


Remove decimal (do not approximate)

The number of beads remaining is calculated using:



Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536
There are three different type
Explain
In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic
Arithmetic Progression - When a fix constant is added to each number except the first number.
For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.
2. Geometric Progression - When a fix constant is multiplied to each number except the first number.
For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.
3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.
For example : 1/2 , 1/4 , 1/6, 1/8 ....