Answer:
1) True 2) True 3) False 4) True
Step-by-step explanation:
In this question let's verify those options
1.Triangle A B C is inside triangle D E F. (true)
If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.
2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)
3. Angles D F E and A B C are right angles. (false)
These triangles are similar. And In this case, the right angles are:

D and C are opposed to the larger side, and not F, and B
Because:
4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)
Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.

X=1 is the answer to your question
Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.