What's an equivalent expression for X^3/5
2 answers:
When we have the fractional exponent over any variable
we can separate the fractions
for example 3/5 can be written as 3/1 * 1/5 or 3 * 1/5
So here also
we can apply the same method
This the one way we can show this
There is also one more way that is radical representation
we shift the denominator of the exponent to the order of the radical
that is for example
We can apply this to our problem
So
You might be interested in
The constant of proportionality is the relationship between variables that are directly proportional
The constant of proportionality of is 45.2
The distance measured in miles is given as:
An equation that has a constant proportion is represented as:
Rewrite the equation in terms of d and t.
So, we have:
Where, k represents the proportionality constant.
By comparison:
Hence, the constant of proportionality is 45.2
Read more about constant of proportionality at:
Short Answers:
Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC
-------------------------------------------------------------
Explanations:
Part A:
AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.
---------------------
Part B:
The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"
---------------------
Part C:
We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.
---------------------
Part D:
For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.
---------------------
Part E:
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"
If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.
Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC
-------------------------------------------------------------
Explanations:
Part A:
AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.
---------------------
Part B:
The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"
---------------------
Part C:
We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.
---------------------
Part D:
For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.
---------------------
Part E:
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"
If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.