Answer:
There 138 quarters and 0 nickels.
The value of nickels is $0.
Step-by-step explanation:
A quarter is 0.25 of a dollar, and a nickel is 0.05 of a dollar. We are told that the total worth of nickels and dollars we have is 34.5, that is
where is the number of quarters, and is the number of nickels.
We are also told that total number of coins is 138, that is
so we have two equations:
To this system of equations we first solve for in second equation and substitute its value into the first equation:
the first equation becomes
So we have 138 quarters.
Now we put this value into equation(2) and solve for
So we have 0 nickles and therefore their value is $0.
Answer:
- If two angles are congruent, then they are right angles.
- It is true
Step-by-step explanation:
The given statement is;
If two angles are right angles, then it is said that they are congruent.
Now, from converse, inverse and contrapositive statements, we can say that if the conditional statement is given as "if x, then y", it means that the converse statement will be written as;
"If y, then x".
We just switched the hypothesis with the conclusion.
Therefore, the converse of the statement given in the question is:
If two angles are congruent, then it means they are right angles.
The original statement and the converse statement are equivalent, therefore the converse is true.
Answer:
180°
Step-by-step explanation: We are given the co-ordinates of ΔDEF as D(-1,6), E(1,3) and F(6,3).
Now, after rotation the co-ordinates of the new triangle D'E'F' are D'(1,-6), E'(-1,-3) and F'(-6,-3).
As we see that, the co-ordinates of triangle DEF are multiplied by negative sign to obtain the co-ordinates of triangle D'E'F'.
This means that, the triangle DEF is rotated 180° to form triangle D'E'F' because rotating 180 changes (x,y) to (-x,-y).
So, the rotation applied is 180° to ΔDEF.
Answer:
Its how you represent a number. Less than a whole number.
Step-by-step explanation:
Answer:
74.64
Step-by-step explanation:
hope this helps :)