We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
Answer:
x=7 y=-2
Step-by-step explanation:
Answer: 33
Step-by-step explanation: We can make an equation. 2:9 can be equal to 2x:9x. So 9x=27, x=3. Then if 9x=27, 2x= 3 times 2=6. 27 +6= 33.
P(Parentheses)
E(Exponents)
M(Multiplication)
D(Division)
A(Addition)
S(Subtraction)
The formula of the measurement of an exterior angle of a regular polygon is
β = 360°/n
where β = exterior angle and n = number of sides
Therefore,
n = 360°/β = 360°/18° = 20 sides