1.
In any trapezoid, the length of the midsegment is

substituting the known values:



2.
Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.
Thus FD and DE are perpendicular, so the triangle FED is a right triangle.
The median drawn from the right angle, is equal to half the hypotenuse.
That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.
O is the midpoint of EF, and is found by the Midpoint formula:

Answer:
1. 14
2. (4, 3)
Answer:
75
Step-by-step explanation:
When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.
250*.3=75
Answer: a) 15625, b) 0.2, c) 625, d) 0.008.
Step-by-step explanation:
Since we have given that
a) 
As we know that

So, it becomes,

(b) 
So, it becomes,

(c) 
As we know that

So, it becomes,

(d) 

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.
Answer:
Standard factor form of the integer : 15400 = 2³ × 5² × 7 × 11
Step-by-step explanation:
According to the unique factorization theorem, a given integer n (where, n>1), either is a prime number or can be represented as the product of the prime numbers.
Firstly, it is checked that the given integer is divisible by the smallest prime number 2 . If the integer is not divisible by 2, then the integer is checked for the next prime number 3 and then checked for 5 and so on until the remaining integers are prime numbers.
So, the standard factored form of the integer:
15400 = 2 × 770
15400 = 2 × 2 × 3850
15400 = 2 × 2 × 2 × 1925
15400 = 2 × 2 × 2 × 5 × 385
15400 = 2 × 2 × 2 × 5 × 5 × 77
15400 = 2 × 2 × 2 × 5 × 5 × 7 × 11
or,
15400 = 2³ × 5² × 7 × 11
Therefore, the standard factor form of the integer: 15400 = 2³ × 5² × 7 ×11