By finding the maximum common factor between the number of spoons, we conclude that he must put 6 teaspoons per bag.
There will be 8 bags in total.
<h3>How many teaspoons of spice should the clerk put in each bag?</h3>
We know that the store clerk has 18 teaspoons of cinnamon and 30 spoons of nutmeg.
Now, we want to put these in bags, such that each bag contains the same number of teaspoons.
Then the number of teaspoons per bag must be a common factor of 30 and 18. (the minimum number of bags is what we get when we select the maximum common factor).
Decomposing these two numbers gives:
30 = 2*3*5
18 = 2*3*3
Then the maximum common factor is 2*3 = 6
This means that we need to put 6 teaspoons per bag.
And the total number of teaspoons is 30 + 18 = 48, dividing that by 6 we get:
48/6 = 8
There will be 8 bags.
If you want to learn more about common factors:
brainly.com/question/219464
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Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:

The slopes of segment EF and segment DF are given below:

For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
Answer:
"click" "click" "click"
Step-by-step explanation:
If the measure of angle A = 40 and B is a complement of A, then the measure of angle B = 50. If C is a supplement of B, then the measure of angle C = 130.
the measure of angle A = 40
the measure of angle B = 50
the measure of angle C = 130
Hope this helps!