The answer to your math question is 66°.
Adding 47° and 67° is 114°.
Subtracting 114° from 180° equals 66°.
Answer:
Tonya proof is correct
and Pearl proof is wrong
Step-by-step explanation:
AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.
But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.
The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation
Answer:
2,9
Step-by-step explanation:
Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.
The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
<h3>Combination formula:
</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 3 ingredients are chosen from a set of 6, hence:
20 groups of 3 different ingredients can go on a taco.
To learn more about the combination formula, you can take a look at brainly.com/question/25990169
<u>Answer:</u>
Cost of package of paper = 4$
Cost of stapler = 7$
<u>Explanation:</u>
Consider the cost of package of paper = x and that of stapler = y.
Now, we are given that cost of 3 paper packages and 4 staplers = 40$
Hence we get, 3x + 4y = 40 as 1st equation.
we are also given, cost of 5 paper packages and 6 staplers = 62$
Hence, the second equation is 5x + 6y = 62
Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->
15x + 20y = 200
15x + 18y= 186
Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4
which gives the required cost of one paper package = x = 4$
and one stapler = y = 7$
