Answer:
The distance the marina can travel = = 48 miles
Step-by-step explanation:
The rate going out against the current is = u - v = 20
The rate going out with the current is = u + v = 30
Let the distance traveled by the motorboat =
Total time the boat can travel = 4 hours
⇒ Total time = ( Time taken by boat to go against the current ) + ( Time taken by boat to go with the current )
⇒ 4 =
⇒ 4 =
⇒ 4 =
⇒ = 48 miles
This is the distance the marina can travel.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
- Parallelogram DEFG is mapped to D'E'F'G'
- DEFG and D'E'F'G' have identical side lengths and angle measures.
The following applies:
- EF corresponds to E'F'
- ∠EDG Is-congruent-to ∠E'D'G'
- ∠DEF Is-congruent-to ∠D'E'F'
Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
- The transformation is a rigid transformation.
Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
Answer:
y = 3
Step-by-step explanation:
<em>2x + 3y = 9</em>
<em>-2x + 2y = 6</em>
<em />
We have to add these two equations which gives us 5y = 15. Now, if you divide by 5 on both sides you get y = 3.
Answer:
See Explanation
Step-by-step explanation:
Let us assume that is a rational.
Therefore, it can be expressed in the form of , where p and q are integers.
p and q are integers.
is a rational number.
is rational ( quotient of a rational number is rational)
But, it contradicts the fact that is irrational.
So, is also irrational, because the product of rational and irrational is irrational.
This contradiction is arising out because of our wrong assumption that is rational.
Hence, is irrational.