Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
The answer to 150% of 22 is 33
Answer:
The remainder is 8
Step-by-step explanation:
Let Jonah's Marble=x
If he arranges x marbles into y rows of 13 each, and there are remainders(R)
Then:
x/13=y+(R/13).....(I)
If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1
New Total Marbles=x+5
(x+5)/13=y+1.....(ii)
x+5=13(y+1)
x=13y+13-5
x=13y+8
From (I)
x=13y+R
Comparing the values of x derived from (I) and (ii)
13y+R=13y+8
Therefore the Remainder, R= 8
20 weeks, earnings $(15 + 35), spending $300:
<span>20(15 + 35) - 300 = amount of money she has left
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Are you sure that's all of the answer choices because 259 would be the answer.
