The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
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The value of x is 2 and KNL will be 102
Answer: 80
Step-by-step explanation:
Let the number of students be represented by x
Let the number of faculty be represented by y.
Based on the information in the question, we can form an equation which will be:
x + y = 100 ..... i
10x + 25y = 1300 ....... ii
From equation i,
Make y the subject of the formula
y = 100 - x ...... iii
Put the value of equation iii into ii
10x + 25y = 1300
10x + 25(100 - x) = 1300
10x + 2500 - 25x = 1300
10x - 25x = 1300 - 2500
-15x = -1200
x = 1200/15
x = 80
There were 80 students who attended the museum opening
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
Answer:
Tn = 2 * ±5^(n-1)
where Tn is the nth term of the geometric sequence.
Step-by-step explanation:
The geometric sequence is one in which there are changes between consecutive terms as a result of a common ratio.
A geometric sequence with a common ratio r and a as it's first term has an nth term defined as
Tn = ar^n-1 as such, if a1 = 2 a3 = 50 then
T3 = ar^3-1
50 = 2 * r²
r² = 25
r = ±5
The rule for the nth term may be written as
Tn = 2 * ±5^(n-1)
