Answer:
1/3
Step-by-step explanation
Find the ratio of two points, change in y over change in x.
Answer:
132 degrees.
Step-by-step explanation:
Let the supplement be x and the angle be y.
x + y = 180 degrees.
y = (3x - 12) degrees.
x + 3x - 12 = 180
4x = 192
x = 48 degrees
y = 132 degrees
Hope this helped!
-8d < 48
Find the longest side of a parallelogram.
Perimeter of parallelogram = 2 ( a + b )
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,thelongestSideofgivenparallelogramis22ft(3x+1).
6 squared divided by 2(3) plus 4 is equal to 10.
To evaluate the expression 6 squared divided by 2(3) plus 4, follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right):
Here, from the given expression, we get,
6 squared means 6 raised to the power of 2,
which is
Perform the multiplication inside the parentheses.
2(3) means 2 times 3,
which is 2 * 3 = 6.
Now, the expression becomes:
36 ÷ 6 + 4 [Perform the division]
=>36 ÷ 6 = 6 [Perform the addition]
=> 6 + 4 = 10
The final result is 10.
So, 6 squared divided by 2(3) plus 4 is equal to 10.
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B. Explain the steps to solve the absolute value equation. What do the solutions represent?