Answer:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
Explanation:
A figure is a rotationally symmetrical if it look the same after a given turn.
We have to analyze if the parallelogram has rotational symmetry of 180° or 270°. picture the figure rotating a given amount of degrees to see if it looks the same or not.
180 degree rotation:
We can see that the figure looks the same after a 180° rotation.
270 degree rotation:
We can see that the figure does not look the same after a 270° rotation.
So the answer will be:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
A dime is worth 10 cents and a quarter is worth 25 cents.
Let D be the number of dimes and Q be the number of quarters.
Since the total amount of coins in the pocket is 32, then:

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

Notice that we have found a 2x2 system of equations:

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

Replace back Q=15 into the expression for D to find the amount of dimes:

Therefore, the amount of dimes that the man has is 17.
Answer:
y = 1/3x + 4
Step-by-step explanation:
The slope intercept form is y=mx+b so what we need to do is fill in the blanks. M is the slope and we know the 1/3 is the slope. (0,4) is basically meaning that the x-value is 0 and the y-value is 4, and when that's the case it means 4 is the y-intercept. Now we can put the information together y = 1/3x +4 is the equation.
Hope this helps and have a great day!
Answer: -300,-50,-4
Step-by-step explanation: