Answer:
-6
Step-by-step explanation:
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.
Any odd number can be expressed by 2n+1.
For example,
2n+1=111
2n=110
n=110/2=55
means that 111 is 2n+1 for n=55
Thus if an odd number is 2a+1, the next few numbers are as follows:
2a+1, 2a+2, 2a+3, 2a+4, 2a+5
So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.
Back to our problem:
three consecutive odd numbers whose sum is 63 are:
(2n+1)+(2n+3)+(2n+5)=63
6n+9=63
6n=63-9=54
n=54/6=9
2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23
Answer: 19, 21, 23
Answer:
The quadrilateral is Parallelogram.
Step-by-step explanation:
A quadrilateral is a four-sided regular polygon.
A parallelogram is a quadrilateral.
The opposite sides of a parallelogram are parallel and equal in length.
The opposite angles of a parallelogram are also equal.
In this case the quadrilateral is defined as follows:
- two angles that each measure 60°
- two angles that each measure 120°
- Only two of the sides have a length of 3.2 inches.
Consider the quadrilateral ABCD below.
The quadrilateral ABCD is Parallelogram.
D:
The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.
Answer:
1/35
Step-by-step explanation:
1/5 divided by 7 is the same as 1/5 x 1/7
=> 1/5 x 1/7 = 1/35
Or using the picture it would be :-
1/5 divided by 7/1
