B is the answer. If all the sides/angles match up after being rotated/translated/reflected then the triangles are congruent.
Since, each row has one more log than the row above it
so, this is arithematic sequence
We are given that
First row is

so,

Last row is

so,

Each row has one more log than the row above it
so,

now, we can find number of rows

we can plug values

we can solve for n


now, we can find total number of logs

now, we can plug values



So,
Number of logs in the pile are 119........Answer
Answer:
(c) A cluster sample
Step-by-step explanation:
A cluster sample occurs when the intended population is divided into non- overlapping sub -groups or clusters and some of these clusters are represented in the sample.
From the question, In a state 15 high schools where randomly selected and the standardized test was administered to only 10th grade student. Here, the high schools are the non-overlapping sub groups that is randomly selected and a reasonable representation of the entire subgroups.
Answer:
50 trays
3000 cookies
Step-by-step explanation:
We are given the following in the question:
1 cup of brown sugar and
cup of granulated sugar makes a tray of 60 cookies.
Total cups of sugar used(brown and granulated) = 1.5 cups
Number of sugar cups used by Lyle each week = 75
We have to find the number of trays made each week.

Thus, 50 trays of cookies are made each week.
Total number of cookies made each week =

Thus, 3000 cookies are made each week.
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41