Answer: n=4
Step-by-step explanation:
1) add 3 to both sides: 5n=20
2) divide by five on both sides: 5n/5 and 20/5
3) answer n=4
When solving an absolute value inequality,
you can split the problem up into two separate inequalities.
The first inequality will look just like the original problem,
minus the absolute value signs (x < 5).
In the second inequality, you must switch the direction
of the inequality sign and make the right side negative (x > -5).
The word “and” is used between the two inequalities when
we split things up, in this case x < 5 and x > -5.
The word "and" means intersection which means where the graphs overlap.
In this case, that's less than 5 and greater than -5.
In set notation, this reads {x: -5 < x < 5}.
∠KNL and ∠JNM are vertical, so we they equal the same measure.
5x+2 = 3(x+14)
5x+2 = 3x+42
5x=3x+40
2x=40
x=20.
So, if we put it in the equation 3(x+14), the measure of ∠KNL is 102°.
Answer:
22
Step-by-step explanation:
Given that:
Let number multiplied by 54 = x
Let output = y
x * 54 = y + 198
x * 45 = y
54x = y + 198 - - - (1)
45x = y - - - (2)
Put y = 45x in (1)
54x = 45x + 198
54x - 45x = 198
9x = 198
x = 22
Number multiplied by 54 is 22
Answer:
(-3, 1)
(5,-2)
Step-by-step explanation:
