Answer:
x < 27
Step-by-step explanation:
x + 16 < 43
move the constant to the right-hand side and change its sign
x < 43 - 16
subtract the numbers
x < 27
~~~~~~~~~~~~~~~~~~
X < 27
alternative form
X ∈ ( - ∞ , 27 ) , { x | x < 27 }
Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
The degree is the biggest power present in an equation.
The first is 6.
The second is 5.
Be careful with equations that aren't fully expanded.
Hope this helps
Answer:
624.5 feet
Step-by-step explanation:
Calculation to determine how many feet from the boat is the parasailor
Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula
a²+b²=c²
First step is to plug in the formula by substituting the given value
500²+b²=800²
Second step is to evaluate the exponent
250,000+b²=640,000
Third step is to substract 250,000 from both side and simplify
250,000+b²-250,000=640,000-250,000
b²=390,000
Now let determine how many feet from the boat is the parasailor
Parasailor feet=√b²
Parasailor feet=√390,000
Parasailor feet=b=624.49
Parasailor feet=b=624.5 feet (Approximately)
Therefore how many feet from the boat is the parasailor will be 624.5 feet
Answer: n=6
Step-by-step explanation:
2^3 x 4^3 = 2^3 x 2^n = 2^9
(2×2×2) ×(4×4×4) = (2x2x2) ×2^n=(2x2x2x2x2x2x2x2x2)
8 x 64 = 8x 2^n = 512
512= 8x 2^n = 512
divide all through by 8 so that 2^n can stand alone
512/8 = (8x 2^n)/8 = 512/8
64 = 2^n = 64
express 64 as a base of 2
2^6 = 2^n = 2^6
since they all have same base, cancel out the base.
therefore,
6=n=6
n = 6
