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
Answer:
∠ MPQ = 125°
Step-by-step explanation:
∠ LMN and ∠ MPQ are corresponding angles and are congruent , so
5x = 3x + 50 ( subtract 3x from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Then
∠ MPQ = 3x + 50 = 3(25) + 50 = 75 + 50 = 125°
Answer:
x = -3
Step-by-step explanation:
Given the equation, -4(10 + 3x) - (x + 8) = - 9:
Distribute -4 into (10x + 3x), and - 1 into (x + 8):
-4(10 + 3x) - (x + 8) = - 9
-40 -12x - x - 8 = -9
Combine like terms:
-48 - 13x = -9
Add 48 to both sides:
-48 + 48 - 13x = -9 + 48
-13x = 39
Divide both sides by -13:

x = -3
Therefore, x = -3
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