Answer:

Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:

So let's group like terms in the numerator:
We can add terms like in the example.

Let's rearrange the denominator.

Now we have:
Cancel like terms
4/8 = 1/2
= 1 So it cancels
= s Since s is raised to the -1 it goes on top and becomes s.

Now we combine everything back together:

Answer:
Well, the only thing you should do is to use the formula.
if the bases are: a, b
and the height is=h
Then, this is your formula, S=½(a+b)×h
Step-by-step explanation:
Aight,
100dm=10m
S=10m
now, the formula
10=½(2.1+1.9)×h===> 20=4h==> h=5m
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
Answer:
see the explanation
Step-by-step explanation:
we have triangle ΔABC
step 1
Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'
Remember that
A rotation is a rigid transformation
An object and its rotation are the same shape and size, but the figures may be turned in different directions
so
ΔABC and ΔA'B'C' are congruent
ΔABC≅ ΔA'B'C
step 2
Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF
Remember that
A dilation is a non rigid transformation
A dilation produces similar figures
If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent
Find the scale factor of the dilation
The scale factor is equal to the ratio of corresponding sides
In this problem
Let
z ----> the scale factor
so

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF
Note: in this problem the scale factor z is less than 1
That means ----> the dilation is a reduction