Answer:
The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.
However, we only know that D is congruent to P, not M.
These triangles are not necessarily congruent.
Answer:
r = 2
Step-by-step explanation:
(2-3)/(6-5)
= -1/1
= -1
Hello!
1 pound = $3.50
To find the cost of 512 pounds, we must multiply the cost per pound by the total amount of pounds:
3.50 * 512 = 1,792
ANSWER: The total cost of the chicken was $1,792.
Answer:
Probability distribution for x:

Step-by-step explanation:
We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.
The probability of k defective sets in the group is:

So, we have this probabilty distribution for x:

Answer: 
Step-by-step explanation:
1. You must apply the following formula for calculate the total surface area the regular pyramid:

Where p is the perimeter of the base, l is the slant height and B is the area of the base.
2. The perimeter is, where s is the side length:

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

Finally substitute values:
