Step-by-step explanation:
Total amount to spend = 8096.35
Amount already spent = 894. 60 + 1009.99 + 658.50 = 2563.09
Amount left to spend = 5533.26
It is fine that you did not include the measure of angle XYZ in your posting.
This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.
It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...
But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.
In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."
So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.
So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>
Answer:
Step-by-step explanation: if there are 500 pieces of paper and the entire stack is 1.875 inches tall, you devide the total height by 500. I know Deigo is wrong because you can easily reverse check his work by multiplying 0.015 by the total number of papers 500 you will get 7.5 which is not the height of the stack
1.875/500=0.00375
each piece of paper is 0.00375
Answer:
A. Independent variable
Step-by-step explanation:
The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.
An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.