Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
Answer: 0.05
Step-by-step explanation:
Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]
The probability density function will be :-

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05
If you have built 25 cars, and they are 36 dollars per, then multiply 25 and 36 for the amount of money. This will result with 25*36=900. Since we already have 900 dollars worth, we subtract that from the goal of 1620, leaving us with 1620-900=720. Now, divide this by the price per car for the amount of cars needed to get to this goal. 720/36=20 cars
Hope this helps!
<span>Statement: ∠7 and ∠8 are supplementary.
Reason: Linear Pair Theorem</span>