Hi!
Whatever we do to the inequality, we have to do it to both sides.
Subtract 14 from both sides
14 - 14 - 3x < -1 - 14
-3x < -15
Divide by -3 on both sides
-3x/-3 < -15/-3
x < 5
Because we divided by a negative number, the equality sign flips.
x > 5
^ the answer
Hope this helps! :)
Answer:
words:6 tenths or 1 and 5 tenths
Ratio:3:4 or 7:8
Fraction=1/3 or 19/20
Decimal:0.25
Percent:80%
X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
LCM of 6 and 15 by Listing Multiples
Step 2: The common multiples from the multiples of 6 and 15 are 30, 60, . . . Step 3: The smallest common multiple of 6 and 15 is 30.
Answer:
12x the second -12x -16
Step-by-step explanation:
Solving systems of equations with 3 variables is very similar