To answer this item, we let x be the measure of angle Y. If we say supplement, it is understood that when we sum up the measures of the two angles (angle Y and its supplement) the answer should be 180. Therefore the other angle is 180-x. Going back to the condition given in this item, we will be able to generate an equation,
x = 3(180 - x)
The value of x from the equation is 135. Thus, m∠Y is 135°.
Answer:
1.02×10¹ = 10.2
Step-by-step explanation:
We have given a number in scientific notation as follows 1.02×10¹
We need to convert it into standard notation.
1 is in ones place, 0 is in tenths place and 2 is in hundredths place.

So, the standard notation of 1.02×10¹ is 10.2
Answer:
then she only has eight pencils in the bag.
Step-by-step explanation:
Let S be the sum,
S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n
Reverse the order of terms:
S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2
Add up terms in the same positions, so that twice the sum is
2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)
or
2S = n (2n + 2)
Divide both sides by 2 to solve for S :
S = n (n + 1)
Answer:
Step-by-step explanation:
6j - k = 23
6j + 3k = 11.....multiply by -1
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6j - k = 23
-6j - 3k = -11 (result of multiplying by -1)
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-4k = 12
k = -12/4
k = - 3 <=====
6j - k = 23
6j - (-3) = 23
6j + 3 = 23
6j = 23 - 3
6j = 20
j = 20/6
j = 10/3 <===
solution is : j = 10/3 and k = -3