Answer:
A.The signs change from negative to positive.
Step-by-step explanation:
We are given that trapezoid in quadrant III rotates 180 degrees clockwise about the origin.
We have to find the effect of rotation on the sign of coordinates .
We know that the transformation rule of rotation 180 degrees about the origin is given by

When a trapezoid lie in III quadrant then the coordinates of all four points are negative because in III quadrant x and y are both negative.
When the trapezoid rotates 180 degrees clockwise about the origin then by using the given rule the sign of coordinates from negative to positive.
Hence, option A is true.
Answer:
The measure of <TRU is 72 deg.
Step-by-step explanation:
<QRU is a right angle, so it measures 90 deg.
Since m<QRT = 18 deg, then m<TRU must be 72 deg since 72 + 18 = 90.
Answer: The measure of <TRU is 72 deg.
Answer:

Step-by-step explanation:
Solve the following inequality:

-Take
and subtract it from
:


-Subtract
on both sides:


-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take
and divide it on both sides:


Therefore, the answer is
.
Answer:
1/8
Step-by-step explanation:
Half of the numbers are even on a dice.
The probability of even number is 1/2 for each roll.
<u>For 3 rolls the probability is:</u>
Answer:
4x4x4 = 64 cubic ft
1 cubic foot = 7.48 gallons
64 x 7.48 = 478.72 gallons